Finite Group Databasebeta

← C73×#28898 #32938302

Subgroups — C73×#28898 #32938302

Order 18688.

796 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2511C211yesmaximal, characteristic, complemented
2C73×#2445C211yesmaximal, characteristic
3C73×#2083C211yesmaximal, characteristic, complemented
4C73×#2067C211yesmaximal, characteristic, complemented
5C73×#2055C211yesmaximal, characteristic, complemented
6C73×#2014C211yesmaximal, characteristic
7C73×#1973C211yesmaximal, characteristic, complemented
8C73×#1973C211yesmaximal, characteristic, complemented
9C73×#1957C211yesmaximal, characteristic
10C73×#1936C211yesmaximal, characteristic, complemented
11C73×#1933C211yesmaximal, characteristic, complemented
12C73×#1925C211yesmaximal, characteristic, complemented
13C73×#1877C211yesmaximal, characteristic, complemented
14C73×#1771C211yesmaximal, characteristic, complemented
15C73×#1762C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C22×SD16×C73C2211yescharacteristic
18C2×#127×C73C2211yescharacteristic
19C2×#123×C73—21no—
20C2×C4×D4×C73C2211yescharacteristic
21C2×#107×C73C2211yescharacteristic
22C2×#107×C73C2211yescharacteristic
23C2×C4⋊C8×C73C2211yescharacteristic
24C2×#103×C73C2211yescharacteristic
25C2×#103×C73C2211yescharacteristic
26C2×#102×C73C2211yescharacteristic
27C2×#102×C73C2211yescharacteristic
28C2×#102×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30C2×#102×C73C2211yescharacteristic
31C2×#102×C73C2211yescharacteristic
32C2×#97×C73C2211yescharacteristic
33C2×#97×C73C2211yescharacteristic
34C2×C4×C8×C73C2211yescharacteristic
35#400×C73—21no—
36#400×C73—21no—
37#394×C73—21no—
38#394×C73—21no—
39#391×C73C2211yescharacteristic
40#391×C73C2211yescharacteristic
41#391×C73C2211yescharacteristic
42#390×C73C2211yescharacteristic
43#390×C73C2211yescharacteristic
44#390×C73C2211yescharacteristic
45#389×C73C2211yescharacteristic
46#389×C73C2211yescharacteristic
47#387×C73—21no—
48#387×C73—21no—
49#386×C73—21no—
50#384×C73C2211yescharacteristic
51C4×C4⋊C4×C73C2211yescharacteristic
52C4×C4⋊C4×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73C2311yescharacteristic
60C22×D4×C73—21no—
61C22×D4×C73—21no—
62C22×D4×C73C2311yescharacteristic
63C22×D4×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C2×SD16×C73—22no—
66C2×SD16×C73—22no—
67C2×SD16×C73—22no—
68C2×SD16×C73—41no—
69C2×SD16×C73—41no—
70C2×SD16×C73—41no—
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73C22×C8×C73C2311yescharacteristic
74C22×C8×C73C2311yescharacteristic
75#127×C73—22no—
76#127×C73—41no—
77#123×C73—44no—
78C4×D4×C73—22no—
79C4×D4×C73—41no—
80C2×C4⋊C4×C73—21no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73D411yescharacteristic
85C2×C4⋊C4×C73D411yescharacteristic
86C2×C4⋊C4×C73C2311yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C22⋊C4×C73—21no—
92C2×C22⋊C4×C73—21no—
93C2×C22⋊C4×C73—21no—
94C2×C22⋊C4×C73—21no—
95C2×C22⋊C4×C73—21no—
96C2×C22⋊C4×C73—21no—
97C2×C22⋊C4×C73—21no—
98C2×C42×C73—21no—
99C2×C42×C73C2311yescharacteristic
100C2×C42×C73C2311yescharacteristic
101C2×C42×C73C2311yescharacteristic
102#107×C73—41no—
103#107×C73—41no—
104C4⋊C8×C73—22no—
105#103×C73—22no—
106#103×C73—41no—
107#102×C73—22no—
108#102×C73—22no—
109#102×C73—22no—
110#102×C73—22no—
111#102×C73—41no—
112#102×C73—41no—
113#97×C73—22no—
114#97×C73—41no—
115C4×C8×C73—41no—
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×C73—21no—
125#95×C73D411yescharacteristic
126#95×C73D411yescharacteristic
127C24×C73—21no—
128C24×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—21no—
132C2×Q8×C73—21no—
133C2×Q8×C73—21no—
134C2×Q8×C73—21no—
135C2×D4×C73—21no—
136C2×D4×C73—21no—
137C2×D4×C73—21no—
138C2×D4×C73—21no—
139C2×D4×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—21no—
144C2×D4×C73—21no—
145C2×D4×C73—21no—
146C2×D4×C73—42no—
147C2×D4×C73—42no—
148C2×D4×C73—42no—
149C2×D4×C73—42no—
150C2×D4×C73—81no—
151C2×D4×C73—81no—
152C2×D4×C73#4112yes—
153C22×C4×C73—21no—
154C22×C4×C73—21no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—42no—
160C22×C4×C73—42no—
161C22×C4×C73—81no—
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C22×C4×C73C2×D411yescharacteristic
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2×D411yescharacteristic
167C22×C4×C73C2×D411yescharacteristic
168C22×C4×C73C2411yescharacteristic
169SD16×C73—44no—
170SD16×C73—44no—
171C2×C8×C73—21no—
172C2×C8×C73—21no—
173C2×C8×C73—21no—
174C2×C8×C73—21no—
175C2×C8×C73—21no—
176C2×C8×C73—21no—
177C2×C8×C73—21no—
178C2×C8×C73—21no—
179C2×C8×C73—21no—
180C2×C8×C73#4112yes—
181C2×C8×C73#4112yes—
182C2×C8×C73#4112yes—
183C4⋊C4×C73—22no—
184C4⋊C4×C73—22no—
185C4⋊C4×C73—21no—
186C4⋊C4×C73—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—21no—
189C4⋊C4×C73—21no—
190C4⋊C4×C73—21no—
191C4⋊C4×C73—21no—
192C4⋊C4×C73—21no—
193C4⋊C4×C73—21no—
194C4⋊C4×C73—21no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73—42no—
197C4⋊C4×C73—81no—
198C4⋊C4×C73—81no—
199C22⋊C4×C73—42no—
200C22⋊C4×C73—42no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—81no—
204C22⋊C4×C73—81no—
205C22⋊C4×C73—81no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—81no—
213C23×C73—22no—
214C23×C73—41no—
215C23×C73—41no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73—41no—
226C23×C73—41no—
227C23×C73C22×D411yescharacteristic
228Q8×C73—41no—
229Q8×C73—41no—
230Q8×C73—41no—
231Q8×C73—41no—
232D4×C73—22no—
233D4×C73—22no—
234D4×C73—41no—
235D4×C73—41no—
236D4×C73—41no—
237D4×C73—41no—
238D4×C73—41no—
239D4×C73—41no—
240D4×C73—84no—
241D4×C73—84no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—21no—
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—41no—
271C2×C4×C73—41no—
272C2×C4×C73—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—84no—
277C2×C4×C73AGL(1,ℤ/8)12yes—
278C2×C4×C73#13712yes—
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73C2×#4111yescharacteristic
283C2×C4×C73H(5,𝔽2)11yescharacteristic
284C2×C4×C73H(5,𝔽2)11yescharacteristic
285C8×C73—22no—
286C8×C73—22no—
287C8×C73—22no—
288C8×C73—41no—
289C22×C73—42no—
290C22×C73—42no—
291C22×C73—42no—
292C22×C73—81no—
293C22×C73—81no—
294C22×C73—81no—
295C22×C73—81no—
296C22×C73—81no—
297C22×C73—81no—
298C22×C73—81no—
299C22×C73—81no—
300C22×C73—81no—
301C22×C73—81no—
302C22×C73—81no—
303C22×C73#53211yescharacteristic
304C22×C73#54611yescharacteristic
305C22×C73#55011yescharacteristic
306C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C73C2×#13711yescharacteristic
308C22×C73#57611yescharacteristic
309C22×C73#57711yescharacteristic
310C4×C73—22no—
311C4×C73—22no—
312C4×C73—41no—
313C4×C73—41no—
314C4×C73—41no—
315C4×C73—41no—
316C4×C73—81no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73—81no—
322C4×C73#52911yescharacteristic
323C4×C73#53811yescharacteristic
324C4×C73#55111yescharacteristic
325C4×C73#55311yescharacteristic
326#28898C7311yesmaximal, characteristic, direct product factor, Sylow
327C2×C73—82no—
328C2×C73—161no—
329C2×C73#255411yescharacteristic
330C2×C73#317911yescharacteristic
331C2×C73#318211yescharacteristic
332C2×C73#331011yescharacteristic
333C2×C73#331411yescharacteristic
334C2×C73#339911yescharacteristic
335C2×C73#340011yescharacteristic
336#2511C2×C7311yescharacteristic, complemented
337#2445C2×C7311yescharacteristic
338#2083C2×C7311yescharacteristic, complemented
339#2067C2×C7311yescharacteristic, complemented
340#2055C2×C7311yescharacteristic, complemented
341#2014C2×C7311yescharacteristic
342#1973C2×C7311yescharacteristic, complemented
343#1973C2×C7311yescharacteristic, complemented
344#1957C2×C7311yescharacteristic
345#1936C2×C7311yescharacteristic, complemented
346#1933C2×C7311yescharacteristic, complemented
347#1925C2×C7311yescharacteristic, complemented
348#1877C2×C7311yescharacteristic, complemented
349#1771C2×C7311yescharacteristic, complemented
350#1762C2×C7311yescharacteristic, complemented
351C73#2889811yescharacteristic, direct product factor, Sylow
352C22×SD16C22×C7311yescharacteristic
353C22×SD16C22×C7311yescharacteristic
354C2×#127C22×C7311yescharacteristic
355C2×#123—21no—
356C2×C4×D4C22×C7311yescharacteristic
357C2×#107C22×C7311yescharacteristic
358C2×#107C22×C7311yescharacteristic
359C2×C4⋊C8C22×C7311yescharacteristic
360C2×#103C22×C7311yescharacteristic
361C2×#103C22×C7311yescharacteristic
362C2×#102C22×C7311yescharacteristic
363C2×#102C22×C7311yescharacteristic
364C2×#102C22×C7311yescharacteristic
365C2×#102C22×C7311yescharacteristic
366C2×#102C22×C7311yescharacteristic
367C2×#102C22×C7311yescharacteristic
368C2×#97C22×C7311yescharacteristic
369C2×#97C22×C7311yescharacteristic
370C2×C4×C8C22×C7311yescharacteristic
371#400—21no—
372#400—21no—
373#394—21no—
374#394—21no—
375#391C22×C7311yescharacteristic
376#391C22×C7311yescharacteristic
377#391C22×C7311yescharacteristic
378#390C22×C7311yescharacteristic
379#390C22×C7311yescharacteristic
380#390C22×C7311yescharacteristic
381#389C22×C7311yescharacteristic
382#389C22×C7311yescharacteristic
383#387—21no—
384#387—21no—
385#386—21no—
386#384C22×C7311yescharacteristic
387C4×C4⋊C4C22×C7311yescharacteristic
388C4×C4⋊C4C22×C7311yescharacteristic
389#340C22×C7311yescharacteristic
390#340C22×C7311yescharacteristic
391#340C22×C7311yescharacteristic
392#340C22×C7311yescharacteristic
393#336C22×C7311yescharacteristic
394#336C22×C7311yescharacteristic
395C22×Q8C23×C7311yescharacteristic
396C22×D4—21no—
397C22×D4—21no—
398C22×D4C23×C7311yescharacteristic
399C22×D4C23×C7311yescharacteristic
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16—41no—
405C2×SD16—41no—
406C2×SD16—41no—
407C22×C8C23×C7311yescharacteristic
408C22×C8C23×C7311yescharacteristic
409C22×C8C23×C7311yescharacteristic
410C22×C8C23×C7311yescharacteristic
411#127—22no—
412#127—41no—
413#123—44no—
414C4×D4—22no—
415C4×D4—41no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4D4×C7311yescharacteristic
421C2×C4⋊C4D4×C7311yescharacteristic
422C2×C4⋊C4C23×C7311yescharacteristic
423C2×C4⋊C4C23×C7311yescharacteristic
424C2×C4⋊C4C23×C7311yescharacteristic
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C4⋊C4C23×C7311yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42C23×C7311yescharacteristic
436C2×C42C23×C7311yescharacteristic
437C2×C42C23×C7311yescharacteristic
438#107—41no—
439#107—41no—
440C4⋊C8—22no—
441#103—22no—
442#103—41no—
443#102—22no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—41no—
448#102—41no—
449#97—22no—
450#97—41no—
451C4×C8—41no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C7311yescharacteristic
462#95D4×C7311yescharacteristic
463C24—21no—
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4#41×C7312yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4C2×D4×C7311yescharacteristic
499C22×C4C2×D4×C7311yescharacteristic
500C22×C4C2×D4×C7311yescharacteristic
501C22×C4C2×D4×C7311yescharacteristic
502C22×C4C2×D4×C7311yescharacteristic
503C22×C4C2×D4×C7311yescharacteristic
504C22×C4C24×C7311yescharacteristic
505SD16—44no—
506SD16—44no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8#41×C7312yes—
517C2×C8#41×C7312yes—
518C2×C8#41×C7312yes—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—81no—
549C23—22no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C22×D4×C7311yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—22no—
569D4—22no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—84no—
577D4—84no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
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—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4AGL(1,ℤ/8)×C7312yes—
614C2×C4#137×C7312yes—
615C2×C4C2×#41×C7311yescharacteristic
616C2×C4C2×#41×C7311yescharacteristic
617C2×C4C2×#41×C7311yescharacteristic
618C2×C4C2×#41×C7311yescharacteristic
619C2×C4H(5,𝔽2)×C7311yescharacteristic
620C2×C4H(5,𝔽2)×C7311yescharacteristic
621C8—22no—
622C8—22no—
623C8—22no—
624C8—41no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22#532×C7311yescharacteristic
640C22#546×C7311yescharacteristic
641C22#550×C7311yescharacteristic
642C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
643C22C2×#137×C7311yescharacteristic
644C22#576×C7311yescharacteristic
645C22#577×C7311yescharacteristic
646C4—22no—
647C4—22no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4#529×C7311yescharacteristic
659C4#538×C7311yescharacteristic
660C4#551×C7311yescharacteristic
661C4#553×C7311yescharacteristic
662C2—82no—
663C2—161no—
664C2C73×#255411yescharacteristic
665C2C73×#317911yescharacteristic
666C2C73×#318211yescharacteristic
667C2C73×#331011yescharacteristic
668C2C73×#331411yescharacteristic
669C2C73×#339911yescharacteristic
670C2C73×#340011yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#127×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C4×C4⋊C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2511C2semidirect
3. C73×#2083C2semidirect
4. C73×#2067C2semidirect
5. C73×#2055C2semidirect
7. C73×#1973C2semidirect
8. C73×#1973C2semidirect
10. C73×#1936C2semidirect
11. C73×#1933C2semidirect
12. C73×#1925C2semidirect
13. C73×#1877C2semidirect
14. C73×#1771C2semidirect
15. C73×#1762C2semidirect
326. #28898C73direct (N × H)
336. #2511C2×C73semidirect
338. #2083C2×C73semidirect
339. #2067C2×C73semidirect
340. #2055C2×C73semidirect
342. #1973C2×C73semidirect
343. #1973C2×C73semidirect
345. #1936C2×C73semidirect
346. #1933C2×C73semidirect
347. #1925C2×C73semidirect
348. #1877C2×C73semidirect
349. #1771C2×C73semidirect
350. #1762C2×C73semidirect
351. C73#28898direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#25112
C73×#24452
C73×#20832
C73×#20672
C73×#20552
C73×#20142
C73×#19732
C73×#19572
C73×#19362
C73×#19332
C73×#19252
C73×#18772
C73×#17712
C73×#17622
#2889873