Finite Group Databasebeta

← C73×#24706 #32934110

Subgroups — C73×#24706 #32934110

Order 18688.

868 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#478×C73C211yesmaximal, characteristic, complemented
2C2×#432×C73C211yesmaximal, characteristic, complemented
3C73×#2851C211yesmaximal, characteristic, complemented
4C4×#121×C73C211yesmaximal, characteristic
5C73×#2077C211yesmaximal, characteristic, complemented
6C73×#2075C211yesmaximal, characteristic, complemented
7C73×#2034C211yesmaximal, characteristic
8C73×#2033C211yesmaximal, characteristic
9C73×#1989C211yesmaximal, characteristic, complemented
10C73×#1949C211yesmaximal, characteristic, complemented
11C73×#1944C211yesmaximal, characteristic, complemented
12C73×#1943C211yesmaximal, characteristic, complemented
13C73×#1936C211yesmaximal, characteristic, complemented
14C73×#1936C211yesmaximal, characteristic, complemented
15C73×#1804C211yesmaximal, characteristic, complemented
16C2×#125×C73C2211yescharacteristic
17C2×#121×C73C2211yescharacteristic
18C2×C4×D4×C73—21no—
19C2×C4×D4×C73C2211yescharacteristic
20C22×C42×C73C2211yescharacteristic
21#478×C73—24no—
22#432×C73—24no—
23C2×#107×C73C2211yescharacteristic
24C2×#107×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×#106×C73C2211yescharacteristic
27C2×C4⋊C8×C73C2211yescharacteristic
28C2×C4⋊C8×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30C2×#102×C73C2211yescharacteristic
31C2×#102×C73C2211yescharacteristic
32C2×#102×C73C2211yescharacteristic
33C2×C22⋊C8×C73C2211yescharacteristic
34C2×C22⋊C8×C73C2211yescharacteristic
35C2×#97×C73C2211yescharacteristic
36C2×#97×C73C2211yescharacteristic
37#390×C73C2211yescharacteristic
38#389×C73C2211yescharacteristic
39#389×C73C2211yescharacteristic
40#389×C73C2211yescharacteristic
41#388×C73—21no—
42#387×C73—21no—
43#387×C73—21no—
44#386×C73—21no—
45#385×C73—21no—
46#385×C73—21no—
47#382×C73C2211yescharacteristic
48#380×C73C2211yescharacteristic
49#380×C73C2211yescharacteristic
50#380×C73C2211yescharacteristic
51C4×C4⋊C4×C73C2211yescharacteristic
52C4×C22⋊C4×C73—21no—
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#340×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61C22×D4×C73—21no—
62C22×D4×C73C2311yescharacteristic
63C23×C4×C73—21no—
64C23×C4×C73D411yescharacteristic
65C23×C4×C73D411yescharacteristic
66C23×C4×C73C2311yescharacteristic
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71#125×C73—22no—
72#125×C73—22no—
73#121×C73—22no—
74#121×C73—22no—
75C4×D4×C73—22no—
76C4×D4×C73—22no—
77C4×D4×C73—44no—
78C2×C4⋊C4×C73—21no—
79C2×C4⋊C4×C73—21no—
80C2×C4⋊C4×C73—21no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73C2311yescharacteristic
84C2×C4⋊C4×C73C2311yescharacteristic
85C2×C4⋊C4×C73C2311yescharacteristic
86C2×C4⋊C4×C73C2311yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C22⋊C4×C73—21no—
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×C42×C73—22no—
98C2×C42×C73—22no—
99C2×C42×C73—21no—
100C2×C42×C73D411yescharacteristic
101C2×C42×C73D411yescharacteristic
102C2×C42×C73C2311yescharacteristic
103C2×C42×C73C2311yescharacteristic
104#107×C73—22no—
105#107×C73—22no—
106#106×C73—22no—
107#106×C73—22no—
108C4⋊C8×C73—22no—
109C4⋊C8×C73D414yescomplemented
110#102×C73—22no—
111#102×C73—22no—
112#102×C73—22no—
113#102×C73—22no—
114C22⋊C8×C73—22no—
115C22⋊C8×C73—22no—
116#97×C73—22no—
117#97×C73—22no—
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×C73—21no—
126#95×C73—21no—
127C24×C73—21no—
128C24×C73C2×D411yescharacteristic
129C2×D4×C73—24no—
130C2×D4×C73—21no—
131C2×D4×C73—21no—
132C2×D4×C73—21no—
133C2×D4×C73—21no—
134C2×D4×C73—21no—
135C2×D4×C73—42no—
136C2×D4×C73—42no—
137C2×D4×C73#4112yes—
138C22×C4×C73—22no—
139C22×C4×C73—21no—
140C22×C4×C73—22no—
141C22×C4×C73—22no—
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—21no—
151C22×C4×C73—21no—
152C22×C4×C73—21no—
153C22×C4×C73—21no—
154C22×C4×C73—41no—
155C22×C4×C73—41no—
156C22×C4×C73—41no—
157C22×C4×C73—42no—
158C22×C4×C73—42no—
159C22×C4×C73—42no—
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C22×C4×C73C2×D411yescharacteristic
165C22×C4×C73C2411yescharacteristic
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×C73C2×D412yes—
177C2×C8×C73C2×D412yes—
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—21no—
189C4⋊C4×C73—21no—
190C4⋊C4×C73—21no—
191C4⋊C4×C73—42no—
192C4⋊C4×C73—42no—
193C4⋊C4×C73—42no—
194C4⋊C4×C73—42no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73#4112yes—
197C22⋊C4×C73—24no—
198C22⋊C4×C73—42no—
199C22⋊C4×C73—42no—
200C22⋊C4×C73—42no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C42×C73—22no—
205C42×C73—22no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—42no—
209C42×C73C2×D412yes—
210C42×C73#4112yes—
211C23×C73—21no—
212C23×C73—21no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—22no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73AGL(1,ℤ/8)12yes—
225C23×C73C22×D411yescharacteristic
226D4×C73—22no—
227D4×C73—22no—
228D4×C73—48no—
229D4×C73—41no—
230D4×C73—41no—
231C2×C4×C73—21no—
232C2×C4×C73—21no—
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—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—44no—
246C2×C4×C73—44no—
247C2×C4×C73—41no—
248C2×C4×C73—41no—
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—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—84no—
272C2×C4×C73#12112yes—
273C2×C4×C73#12112yes—
274C2×C4×C73C22×D411yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C732−1+411yescharacteristic
279C2×C4×C732−1+411yescharacteristic
280C8×C73—22no—
281C8×C73—22no—
282C8×C73—41no—
283C8×C73—41no—
284C22×C73—22no—
285C22×C73—22no—
286C22×C73—22no—
287C22×C73—41no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73—42no—
292C22×C73—42no—
293C22×C73—42no—
294C22×C73—81no—
295C22×C73—81no—
296C22×C73—81no—
297C22×C73—81no—
298C22×C73C2×#12111yescharacteristic
299C22×C73#52511yescharacteristic
300C22×C73#53611yescharacteristic
301C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
302C22×C73#57511yescharacteristic
303C22×C73#57511yescharacteristic
304C22×C73#57511yescharacteristic
305C4×C73—22no—
306C4×C73—22no—
307C4×C73—42no—
308C4×C73—41no—
309C4×C73—41no—
310C4×C73—41no—
311C4×C73—81no—
312C4×C73—81no—
313C4×C73—81no—
314C4×C73—81no—
315C4×C73—81no—
316C4×C73—81no—
317C4×C73#54711yescharacteristic
318C4×C73#54811yescharacteristic
319C4×C73#55211yescharacteristic
320C4×C73#55611yescharacteristic
321#24706C7311yesmaximal, characteristic, direct product factor, Sylow
322C2×C73—42no—
323C2×C73—82no—
324C2×C73#241511yescharacteristic
325C2×C73#305411yescharacteristic
326C2×C73#305511yescharacteristic
327C2×C73#311111yescharacteristic
328C2×C73#311411yescharacteristic
329C2×C73#323411yescharacteristic
330C2×C73#324011yescharacteristic
331C2×#478C2×C7311yescharacteristic, complemented
332C2×#432C2×C7311yescharacteristic, complemented
333#2851C2×C7311yescharacteristic, complemented
334C4×#121C2×C7311yescharacteristic
335#2077C2×C7311yescharacteristic, complemented
336#2075C2×C7311yescharacteristic, complemented
337#2034C2×C7311yescharacteristic
338#2033C2×C7311yescharacteristic
339#1989C2×C7311yescharacteristic, complemented
340#1949C2×C7311yescharacteristic, complemented
341#1944C2×C7311yescharacteristic, complemented
342#1943C2×C7311yescharacteristic, complemented
343#1936C2×C7311yescharacteristic, complemented
344#1936C2×C7311yescharacteristic, complemented
345#1804C2×C7311yescharacteristic, complemented
346C73#2470611yescharacteristic, direct product factor, Sylow
347C2×#125C22×C7311yescharacteristic
348C2×#121C22×C7311yescharacteristic
349C2×C4×D4—21no—
350C2×C4×D4C22×C7311yescharacteristic
351C22×C42C22×C7311yescharacteristic
352#478—24no—
353#432—24no—
354C2×#107C22×C7311yescharacteristic
355C2×#107C22×C7311yescharacteristic
356C2×#106C22×C7311yescharacteristic
357C2×#106C22×C7311yescharacteristic
358C2×C4⋊C8C22×C7311yescharacteristic
359C2×C4⋊C8C22×C7311yescharacteristic
360C2×#102C22×C7311yescharacteristic
361C2×#102C22×C7311yescharacteristic
362C2×#102C22×C7311yescharacteristic
363C2×#102C22×C7311yescharacteristic
364C2×C22⋊C8C22×C7311yescharacteristic
365C2×C22⋊C8C22×C7311yescharacteristic
366C2×#97C22×C7311yescharacteristic
367C2×#97C22×C7311yescharacteristic
368#390C22×C7311yescharacteristic
369#389C22×C7311yescharacteristic
370#389C22×C7311yescharacteristic
371#389C22×C7311yescharacteristic
372#388—21no—
373#387—21no—
374#387—21no—
375#386—21no—
376#385—21no—
377#385—21no—
378#382C22×C7311yescharacteristic
379#380C22×C7311yescharacteristic
380#380C22×C7311yescharacteristic
381#380C22×C7311yescharacteristic
382C4×C4⋊C4C22×C7311yescharacteristic
383C4×C22⋊C4—21no—
384#340C22×C7311yescharacteristic
385#340C22×C7311yescharacteristic
386#340C22×C7311yescharacteristic
387#340C22×C7311yescharacteristic
388#340C22×C7311yescharacteristic
389#340C22×C7311yescharacteristic
390#340C22×C7311yescharacteristic
391#340C22×C7311yescharacteristic
392C22×D4—21no—
393C22×D4C23×C7311yescharacteristic
394C23×C4—21no—
395C23×C4D4×C7311yescharacteristic
396C23×C4D4×C7311yescharacteristic
397C23×C4C23×C7311yescharacteristic
398C22×C8C23×C7311yescharacteristic
399C22×C8C23×C7311yescharacteristic
400C22×C8C23×C7311yescharacteristic
401C22×C8C23×C7311yescharacteristic
402#125—22no—
403#125—22no—
404#121—22no—
405#121—22no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—44no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4C23×C7311yescharacteristic
415C2×C4⋊C4C23×C7311yescharacteristic
416C2×C4⋊C4C23×C7311yescharacteristic
417C2×C4⋊C4C23×C7311yescharacteristic
418C2×C4⋊C4C23×C7311yescharacteristic
419C2×C4⋊C4C23×C7311yescharacteristic
420C2×C4⋊C4C23×C7311yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42D4×C7311yescharacteristic
432C2×C42D4×C7311yescharacteristic
433C2×C42C23×C7311yescharacteristic
434C2×C42C23×C7311yescharacteristic
435#107—22no—
436#107—22no—
437#106—22no—
438#106—22no—
439C4⋊C8—22no—
440C4⋊C8D4×C7314yescomplemented
441#102—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445C22⋊C8—22no—
446C22⋊C8—22no—
447#97—22no—
448#97—22no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458C24—21no—
459C24C2×D4×C7311yescharacteristic
460C2×D4—24no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4#41×C7312yes—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
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—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4C2×D4×C7311yescharacteristic
492C22×C4C2×D4×C7311yescharacteristic
493C22×C4C2×D4×C7311yescharacteristic
494C22×C4C2×D4×C7311yescharacteristic
495C22×C4C2×D4×C7311yescharacteristic
496C22×C4C24×C7311yescharacteristic
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×C8C2×D4×C7312yes—
508C2×C8C2×D4×C7312yes—
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—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4#41×C7312yes—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C42—22no—
536C42—22no—
537C42—21no—
538C42—21no—
539C42—42no—
540C42C2×D4×C7312yes—
541C42#41×C7312yes—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—22no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23AGL(1,ℤ/8)×C7312yes—
556C23C22×D4×C7311yescharacteristic
557D4—22no—
558D4—22no—
559D4—48no—
560D4—41no—
561D4—41no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—44no—
577C2×C4—44no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
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#121×C7312yes—
604C2×C4#121×C7312yes—
605C2×C4C22×D4×C7311yescharacteristic
606C2×C4C2×#41×C7311yescharacteristic
607C2×C4C2×#41×C7311yescharacteristic
608C2×C4C2×#41×C7311yescharacteristic
609C2×C42−1+4×C7311yescharacteristic
610C2×C42−1+4×C7311yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×#121×C7311yescharacteristic
630C22#525×C7311yescharacteristic
631C22#536×C7311yescharacteristic
632C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
633C22#575×C7311yescharacteristic
634C22#575×C7311yescharacteristic
635C22#575×C7311yescharacteristic
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—41no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4#547×C7311yescharacteristic
649C4#548×C7311yescharacteristic
650C4#552×C7311yescharacteristic
651C4#556×C7311yescharacteristic
652C2—42no—
653C2—82no—
654C2C73×#241511yescharacteristic
655C2C73×#305411yescharacteristic
656C2C73×#305511yescharacteristic
657C2C73×#311111yescharacteristic
658C2C73×#311411yescharacteristic
659C2C73×#323411yescharacteristic
660C2C73×#324011yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#121×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C22×C42×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#478×C73C2semidirect
2. C2×#432×C73C2semidirect
3. C73×#2851C2semidirect
5. C73×#2077C2semidirect
6. C73×#2075C2semidirect
9. C73×#1989C2semidirect
10. C73×#1949C2semidirect
11. C73×#1944C2semidirect
12. C73×#1943C2semidirect
13. C73×#1936C2semidirect
14. C73×#1936C2semidirect
15. C73×#1804C2semidirect
109. C4⋊C8×C73D4semidirect
321. #24706C73direct (N × H)
331. C2×#478C2×C73semidirect
332. C2×#432C2×C73semidirect
333. #2851C2×C73semidirect
335. #2077C2×C73semidirect
336. #2075C2×C73semidirect
339. #1989C2×C73semidirect
340. #1949C2×C73semidirect
341. #1944C2×C73semidirect
342. #1943C2×C73semidirect
343. #1936C2×C73semidirect
344. #1936C2×C73semidirect
345. #1804C2×C73semidirect
346. C73#24706direct (N × H)
440. C4⋊C8D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#478×C732
C2×#432×C732
C73×#28512
C4×#121×C732
C73×#20772
C73×#20752
C73×#20342
C73×#20332
C73×#19892
C73×#19492
C73×#19442
C73×#19432
C73×#19362
C73×#18042
#2470673