Finite Group Databasebeta

← C73×#29174 #32938578

Subgroups — C73×#29174 #32938578

Order 18688.

784 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2628C211yesmaximal, characteristic, complemented
2C73×#2324C211yesmaximal, characteristic
3C73×#2101C211yesmaximal, characteristic, complemented
4C73×#2092C211yesmaximal, characteristic, complemented
5C73×#2058C211yesmaximal, characteristic, complemented
6C73×#2023C211yesmaximal, characteristic, complemented
7C73×#1919C211yesmaximal, characteristic, complemented
8C73×#1918C211yesmaximal, characteristic, complemented
9C73×#1895C211yesmaximal, characteristic
10C73×#1893C211yesmaximal, characteristic
11C73×#1864C211yesmaximal, characteristic, complemented
12C73×#1864C211yesmaximal, characteristic, complemented
13C73×#1809C211yesmaximal, characteristic, complemented
14C73×#1807C211yesmaximal, characteristic, complemented
15C73×#1729C211yesmaximal, characteristic, complemented
16C22×M16×C73C2211yescharacteristic
17C23×C8×C73C2211yescharacteristic
18C2×C4⋊Q8×C73C2211yescharacteristic
19C2×#121×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22C2×#107×C73C2211yescharacteristic
23C2×#106×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×#102×C73C2211yescharacteristic
27C2×#102×C73C2211yescharacteristic
28C2×#102×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30#400×C73—21no—
31#399×C73—21no—
32#395×C73—21no—
33#393×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#382×C73C2211yescharacteristic
43#380×C73C2211yescharacteristic
44#380×C73C2211yescharacteristic
45#380×C73C2211yescharacteristic
46C4×C4⋊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#336×C73C2211yescharacteristic
56#336×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73—21no—
60C22×D4×C73—21no—
61C22×D4×C73C2311yescharacteristic
62C23×C4×C73—21no—
63C23×C4×C73C2311yescharacteristic
64C2×M16×C73—22no—
65C2×M16×C73—22no—
66C2×M16×C73—41no—
67C22×C8×C73—22no—
68C22×C8×C73—22no—
69C22×C8×C73—41no—
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73C22×C8×C73C2311yescharacteristic
74C4⋊Q8×C73—41no—
75C4⋊Q8×C73—41no—
76#121×C73—22no—
77#121×C73Q814yescomplemented
78C4×D4×C73—41no—
79C4×D4×C73—41no—
80#117×C73—41no—
81#117×C73—41no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73D411yescharacteristic
87C2×C4⋊C4×C73D411yescharacteristic
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×C4⋊C4×C73C2311yescharacteristic
95C2×C22⋊C4×C73—21no—
96C2×C22⋊C4×C73—21no—
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×C73D411yescharacteristic
103C2×C22⋊C4×C73D411yescharacteristic
104C2×C42×C73—21no—
105C2×C42×C73C2311yescharacteristic
106C2×C42×C73C2311yescharacteristic
107#107×C73—22no—
108#106×C73—22no—
109#106×C73—41no—
110#106×C73—41no—
111#102×C73—22no—
112#102×C73—22no—
113#102×C73—41no—
114#102×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—
124C24×C73—21no—
125C24×C73C2×D411yescharacteristic
126C2×Q8×C73—42no—
127C2×Q8×C73—81no—
128C2×Q8×C73—81no—
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—81no—
136C2×D4×C73—81no—
137C2×D4×C73C2×Q812yes—
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—21no—
147C22×C4×C73—21no—
148C22×C4×C73—21no—
149C22×C4×C73—42no—
150C22×C4×C73—81no—
151C22×C4×C73—81no—
152C22×C4×C73C2×D411yescharacteristic
153C22×C4×C73C2×D411yescharacteristic
154C22×C4×C73C2×D411yescharacteristic
155C22×C4×C73C2×D411yescharacteristic
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73C2×Q812yes—
158C22×C4×C73#4112yes—
159C22×C4×C73C2411yescharacteristic
160M16×C73—44no—
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—21no—
169C2×C8×C73—21no—
170C2×C8×C73—21no—
171C2×C8×C73—44no—
172C2×C8×C73#4112yes—
173C2×C8×C73#4112yes—
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—21no—
185C4⋊C4×C73—21no—
186C4⋊C4×C73—21no—
187C4⋊C4×C73—41no—
188C4⋊C4×C73—41no—
189C4⋊C4×C73—42no—
190C4⋊C4×C73—81no—
191C4⋊C4×C73—81no—
192C4⋊C4×C73—81no—
193C4⋊C4×C73C2×Q812yes—
194C22⋊C4×C73—24no—
195C22⋊C4×C73—41no—
196C22⋊C4×C73—41no—
197C22⋊C4×C73—42no—
198C22⋊C4×C73—81no—
199C22⋊C4×C73—81no—
200C22⋊C4×C73—81no—
201C22⋊C4×C73—81no—
202C22⋊C4×C73—81no—
203C42×C73—21no—
204C42×C73—21no—
205C42×C73—21no—
206C42×C73—21no—
207C42×C73—81no—
208C23×C73—21no—
209C23×C73—21no—
210C23×C73—21no—
211C23×C73—21no—
212C23×C73—21no—
213C23×C73—21no—
214C23×C73—22no—
215C23×C73—41no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73C22⋊Q812yes—
222C23×C73C22×D411yescharacteristic
223Q8×C73—84no—
224D4×C73—22no—
225D4×C73—22no—
226D4×C73—41no—
227D4×C73—41no—
228D4×C73—84no—
229C2×C4×C73—21no—
230C2×C4×C73—21no—
231C2×C4×C73—22no—
232C2×C4×C73—22no—
233C2×C4×C73—22no—
234C2×C4×C73—22no—
235C2×C4×C73—22no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
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—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—84no—
269C2×C4×C73C22⋊Q812yes—
270C2×C4×C73C22×Q811yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73C2×#4111yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C2×C4×C73H(5,𝔽2)11yescharacteristic
275C2×C4×C73H(5,𝔽2)11yescharacteristic
276C8×C73—22no—
277C8×C73—22no—
278C8×C73—41no—
279C8×C73—41no—
280C22×C73—22no—
281C22×C73—22no—
282C22×C73—22no—
283C22×C73—41no—
284C22×C73—41no—
285C22×C73—41no—
286C22×C73—41no—
287C22×C73—42no—
288C22×C73—42no—
289C22×C73—42no—
290C22×C73—81no—
291C22×C73—81no—
292C22×C73—81no—
293C22×C73—81no—
294C22×C73C2×C22⋊Q811yescharacteristic
295C22×C73#53211yescharacteristic
296C22×C73#53411yescharacteristic
297C22×C73#57611yescharacteristic
298C22×C73#57711yescharacteristic
299C22×C73#57711yescharacteristic
300C22×C73#57711yescharacteristic
301C4×C73—22no—
302C4×C73—42no—
303C4×C73—41no—
304C4×C73—41no—
305C4×C73—41no—
306C4×C73—41no—
307C4×C73—81no—
308C4×C73—81no—
309C4×C73—81no—
310C4×C73—81no—
311C4×C73—81no—
312C4×C73—81no—
313C4×C73#55111yescharacteristic
314C4×C73#55111yescharacteristic
315C4×C73#55411yescharacteristic
316C4×C73#55411yescharacteristic
317#29174C7311yesmaximal, characteristic, direct product factor, Sylow
318C2×C73—42no—
319C2×C73—82no—
320C2×C73#256411yescharacteristic
321C2×C73#308111yescharacteristic
322C2×C73#308411yescharacteristic
323C2×C73#317311yescharacteristic
324C2×C73#317911yescharacteristic
325C2×C73#319811yescharacteristic
326C2×C73#320011yescharacteristic
327#2628C2×C7311yescharacteristic, complemented
328#2324C2×C7311yescharacteristic
329#2101C2×C7311yescharacteristic, complemented
330#2092C2×C7311yescharacteristic, complemented
331#2058C2×C7311yescharacteristic, complemented
332#2023C2×C7311yescharacteristic, complemented
333#1919C2×C7311yescharacteristic, complemented
334#1918C2×C7311yescharacteristic, complemented
335#1895C2×C7311yescharacteristic
336#1893C2×C7311yescharacteristic
337#1864C2×C7311yescharacteristic, complemented
338#1864C2×C7311yescharacteristic, complemented
339#1809C2×C7311yescharacteristic, complemented
340#1807C2×C7311yescharacteristic, complemented
341#1729C2×C7311yescharacteristic, complemented
342C73#2917411yescharacteristic, direct product factor, Sylow
343C22×M16C22×C7311yescharacteristic
344C23×C8C22×C7311yescharacteristic
345C2×C4⋊Q8C22×C7311yescharacteristic
346C2×#121C22×C7311yescharacteristic
347C2×C4×D4C22×C7311yescharacteristic
348C2×#117C22×C7311yescharacteristic
349C2×#107C22×C7311yescharacteristic
350C2×#106C22×C7311yescharacteristic
351C2×#106C22×C7311yescharacteristic
352C2×#106C22×C7311yescharacteristic
353C2×#102C22×C7311yescharacteristic
354C2×#102C22×C7311yescharacteristic
355C2×#102C22×C7311yescharacteristic
356C2×#102C22×C7311yescharacteristic
357#400—21no—
358#399—21no—
359#395—21no—
360#393—21no—
361#390—21no—
362#390C22×C7311yescharacteristic
363#389C22×C7311yescharacteristic
364#389C22×C7311yescharacteristic
365#389C22×C7311yescharacteristic
366#388—21no—
367#386—21no—
368#385—21no—
369#382C22×C7311yescharacteristic
370#380C22×C7311yescharacteristic
371#380C22×C7311yescharacteristic
372#380C22×C7311yescharacteristic
373C4×C4⋊C4C22×C7311yescharacteristic
374#340C22×C7311yescharacteristic
375#340C22×C7311yescharacteristic
376#340C22×C7311yescharacteristic
377#340C22×C7311yescharacteristic
378#340C22×C7311yescharacteristic
379#340C22×C7311yescharacteristic
380#340C22×C7311yescharacteristic
381#340C22×C7311yescharacteristic
382#336C22×C7311yescharacteristic
383#336C22×C7311yescharacteristic
384#336C22×C7311yescharacteristic
385#336C22×C7311yescharacteristic
386C22×Q8—21no—
387C22×D4—21no—
388C22×D4C23×C7311yescharacteristic
389C23×C4—21no—
390C23×C4C23×C7311yescharacteristic
391C2×M16—22no—
392C2×M16—22no—
393C2×M16—41no—
394C22×C8—22no—
395C22×C8—22no—
396C22×C8—41no—
397C22×C8C23×C7311yescharacteristic
398C22×C8C23×C7311yescharacteristic
399C22×C8C23×C7311yescharacteristic
400C22×C8C23×C7311yescharacteristic
401C4⋊Q8—41no—
402C4⋊Q8—41no—
403#121—22no—
404#121Q8×C7314yescomplemented
405C4×D4—41no—
406C4×D4—41no—
407#117—41no—
408#117—41no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4D4×C7311yescharacteristic
414C2×C4⋊C4D4×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×C4⋊C4C23×C7311yescharacteristic
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×C22⋊C4—21no—
429C2×C22⋊C4D4×C7311yescharacteristic
430C2×C22⋊C4D4×C7311yescharacteristic
431C2×C42—21no—
432C2×C42C23×C7311yescharacteristic
433C2×C42C23×C7311yescharacteristic
434#107—22no—
435#106—22no—
436#106—41no—
437#106—41no—
438#102—22no—
439#102—22no—
440#102—41no—
441#102—41no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451C24—21no—
452C24C2×D4×C7311yescharacteristic
453C2×Q8—42no—
454C2×Q8—81no—
455C2×Q8—81no—
456C2×D4—24no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—81no—
463C2×D4—81no—
464C2×D4C2×Q8×C7312yes—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4C2×D4×C7311yescharacteristic
480C22×C4C2×D4×C7311yescharacteristic
481C22×C4C2×D4×C7311yescharacteristic
482C22×C4C2×D4×C7311yescharacteristic
483C22×C4C2×D4×C7311yescharacteristic
484C22×C4C2×Q8×C7312yes—
485C22×C4#41×C7312yes—
486C22×C4C24×C7311yescharacteristic
487M16—44no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—44no—
499C2×C8#41×C7312yes—
500C2×C8#41×C7312yes—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—42no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4C2×Q8×C7312yes—
521C22⋊C4—24no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—42no—
525C22⋊C4—81no—
526C22⋊C4—81no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—81no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23C22⋊Q8×C7312yes—
549C23C22×D4×C7311yescharacteristic
550Q8—84no—
551D4—22no—
552D4—22no—
553D4—41no—
554D4—41no—
555D4—84no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
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—84no—
596C2×C4C22⋊Q8×C7312yes—
597C2×C4C22×Q8×C7311yescharacteristic
598C2×C4C2×#41×C7311yescharacteristic
599C2×C4C2×#41×C7311yescharacteristic
600C2×C4C2×#41×C7311yescharacteristic
601C2×C4H(5,𝔽2)×C7311yescharacteristic
602C2×C4H(5,𝔽2)×C7311yescharacteristic
603C8—22no—
604C8—22no—
605C8—41no—
606C8—41no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22C2×C22⋊Q8×C7311yescharacteristic
622C22#532×C7311yescharacteristic
623C22#534×C7311yescharacteristic
624C22#576×C7311yescharacteristic
625C22#577×C7311yescharacteristic
626C22#577×C7311yescharacteristic
627C22#577×C7311yescharacteristic
628C4—22no—
629C4—42no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4#551×C7311yescharacteristic
641C4#551×C7311yescharacteristic
642C4#554×C7311yescharacteristic
643C4#554×C7311yescharacteristic
644C2—42no—
645C2—82no—
646C2C73×#256411yescharacteristic
647C2C73×#308111yescharacteristic
648C2C73×#308411yescharacteristic
649C2C73×#317311yescharacteristic
650C2C73×#317911yescharacteristic
651C2C73×#319811yescharacteristic
652C2C73×#320011yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#121×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C2×#117×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2628C2semidirect
3. C73×#2101C2semidirect
4. C73×#2092C2semidirect
5. C73×#2058C2semidirect
6. C73×#2023C2semidirect
7. C73×#1919C2semidirect
8. C73×#1918C2semidirect
11. C73×#1864C2semidirect
12. C73×#1864C2semidirect
13. C73×#1809C2semidirect
14. C73×#1807C2semidirect
15. C73×#1729C2semidirect
77. #121×C73Q8semidirect
317. #29174C73direct (N × H)
327. #2628C2×C73semidirect
329. #2101C2×C73semidirect
330. #2092C2×C73semidirect
331. #2058C2×C73semidirect
332. #2023C2×C73semidirect
333. #1919C2×C73semidirect
334. #1918C2×C73semidirect
337. #1864C2×C73semidirect
338. #1864C2×C73semidirect
339. #1809C2×C73semidirect
340. #1807C2×C73semidirect
341. #1729C2×C73semidirect
342. C73#29174direct (N × H)
404. #121Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#26282
C73×#23242
C73×#21012
C73×#20922
C73×#20582
C73×#20232
C73×#19192
C73×#19182
C73×#18952
C73×#18932
C73×#18642
C73×#18092
C73×#18072
C73×#17292
#2917473