Finite Group Databasebeta

← C73×#26414 #32935818

Subgroups — C73×#26414 #32935818

Order 18688.

818 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2440C211yesmaximal, characteristic
2C73×#2360C211yesmaximal, characteristic
3C73×#2100C211yesmaximal, characteristic, complemented
4C73×#2087C211yesmaximal, characteristic, complemented
5C73×#2068C211yesmaximal, characteristic, complemented
6C73×#2024C211yesmaximal, characteristic, complemented
7C73×#1987C211yesmaximal, characteristic, complemented
8C73×#1921C211yesmaximal, characteristic, complemented
9C73×#1892C211yesmaximal, characteristic
10C73×#1872C211yesmaximal, characteristic
11C73×#1863C211yesmaximal, characteristic, complemented
12C73×#1852C211yesmaximal, characteristic
13C73×#1850C211yesmaximal, characteristic
14C73×#1803C211yesmaximal, characteristic, complemented
15C2×#340×C73C211yesmaximal, characteristic
16C23×C8×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73—21no—
19C2×C22⋊Q8×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C22×C4⋊C4×C73C2211yescharacteristic
22C22×C4⋊C4×C73C2211yescharacteristic
23C2×#107×C73C2211yescharacteristic
24C2×#107×C73C2211yescharacteristic
25C2×C4⋊C8×C73C2211yescharacteristic
26C2×C4⋊C8×C73C2211yescharacteristic
27C2×#103×C73C2211yescharacteristic
28C2×#103×C73C2211yescharacteristic
29C2×#103×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×C22⋊C8×C73C2211yescharacteristic
32#398×C73—21no—
33#395×C73—21no—
34#391×C73C2211yescharacteristic
35#389×C73—21no—
36#389×C73C2211yescharacteristic
37#389×C73C2211yescharacteristic
38#389×C73C2211yescharacteristic
39#387×C73—21no—
40#385×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×Q8×C73C2311yescharacteristic
61C23×C4×C73—21no—
62C23×C4×C73—21no—
63C23×C4×C73C2311yescharacteristic
64C22×C8×C73—22no—
65C22×C8×C73—41no—
66C22×C8×C73—41no—
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C4⋊Q8×C73—22no—
72C4⋊Q8×C73—41no—
73C22⋊Q8×C73—22no—
74C22⋊Q8×C73—44no—
75C22⋊Q8×C73Q814yescomplemented
76C4×Q8×C73—22no—
77C4×Q8×C73—41no—
78C2×C4⋊C4×C73—21no—
79C2×C4⋊C4×C73—22no—
80C2×C4⋊C4×C73—22no—
81C2×C4⋊C4×C73—21no—
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—21no—
90C2×C4⋊C4×C73—41no—
91C2×C4⋊C4×C73—41no—
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
97C2×C4⋊C4×C73C2311yescharacteristic
98C2×C4⋊C4×C73C2311yescharacteristic
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73D411yescharacteristic
102C2×C22⋊C4×C73D411yescharacteristic
103C2×C42×C73—21no—
104C2×C42×C73—21no—
105C2×C42×C73C2311yescharacteristic
106C2×C42×C73C2311yescharacteristic
107#107×C73—22no—
108#107×C73—41no—
109C4⋊C8×C73—41no—
110C4⋊C8×C73—41no—
111#103×C73—22no—
112#103×C73—41no—
113#103×C73—41no—
114#103×C73—41no—
115C22⋊C8×C73—22no—
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×C73D411yescharacteristic
124#95×C73D411yescharacteristic
125C24×C73C2×D411yescharacteristic
126C2×Q8×C73—21no—
127C2×Q8×C73—21no—
128C2×Q8×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—42no—
132C2×Q8×C73—42no—
133C2×Q8×C73—81no—
134C2×Q8×C73C2×Q812yes—
135C22×C4×C73—21no—
136C22×C4×C73—21no—
137C22×C4×C73—21no—
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—42no—
148C22×C4×C73—42no—
149C22×C4×C73—42no—
150C22×C4×C73—42no—
151C22×C4×C73—81no—
152C22×C4×C73—81no—
153C22×C4×C73C2×D411yescharacteristic
154C22×C4×C73C2×D411yescharacteristic
155C22×C4×C73C2×D411yescharacteristic
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73C2×D411yescharacteristic
158C22×C4×C73C2×Q812yes—
159C22×C4×C73#4112yes—
160C22×C4×C73C2411yescharacteristic
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—21no—
172C2×C8×C73—21no—
173C2×C8×C73—44no—
174C4⋊C4×C73—24no—
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—42no—
187C4⋊C4×C73—42no—
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—42no—
201C22⋊C4×C73Q1614yes—
202C42×C73—21no—
203C42×C73—21no—
204C42×C73—21no—
205C42×C73—21no—
206C42×C73—42no—
207C42×C73—81no—
208C23×C73—21no—
209C23×C73—21no—
210C23×C73—21no—
211C23×C73—21no—
212C23×C73C22⋊Q812yes—
213C23×C73C2×Q1612yes—
214C23×C73AGL(1,ℤ/8)12yes—
215C23×C73C22×D411yescharacteristic
216Q8×C73—22no—
217Q8×C73—22no—
218Q8×C73—41no—
219Q8×C73—41no—
220Q8×C73—84no—
221C2×C4×C73—21no—
222C2×C4×C73—21no—
223C2×C4×C73—21no—
224C2×C4×C73—21no—
225C2×C4×C73—21no—
226C2×C4×C73—21no—
227C2×C4×C73—22no—
228C2×C4×C73—22no—
229C2×C4×C73—22no—
230C2×C4×C73—22no—
231C2×C4×C73—22no—
232C2×C4×C73—22no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—22no—
236C2×C4×C73—22no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
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—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—84no—
262C2×C4×C73—84no—
263C2×C4×C73C22⋊Q812yes—
264C2×C4×C73C2×Q1612yes—
265C2×C4×C73C2×Q1612yes—
266C2×C4×C73C22×Q811yescharacteristic
267C2×C4×C73C2×#4111yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73H(5,𝔽2)11yescharacteristic
271C2×C4×C73H(5,𝔽2)11yescharacteristic
272C8×C73—41no—
273C8×C73—41no—
274C8×C73—41no—
275C8×C73—41no—
276C22×C73—22no—
277C22×C73—22no—
278C22×C73—22no—
279C22×C73—22no—
280C22×C73—22no—
281C22×C73—22no—
282C22×C73#47714yes—
283C22×C73C2×C22⋊Q811yescharacteristic
284C22×C73#54611yescharacteristic
285C22×C73#54611yescharacteristic
286C22×C73C22×Q1611yescharacteristic
287C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
288C22×C73#57711yescharacteristic
289C22×C73#57711yescharacteristic
290C4×C73—22no—
291C4×C73—22no—
292C4×C73—22no—
293C4×C73—42no—
294C4×C73—42no—
295C4×C73—41no—
296C4×C73—42no—
297C4×C73—41no—
298C4×C73—42no—
299C4×C73—81no—
300C4×C73—81no—
301C4×C73—81no—
302C4×C73—81no—
303C4×C73#52911yescharacteristic
304C4×C73#53811yescharacteristic
305C4×C73#55411yescharacteristic
306C4×C73#55411yescharacteristic
307#26414C7311yesmaximal, characteristic, direct product factor, Sylow
308C2×C73—24no—
309C2×C73#245011yescharacteristic
310C2×C73C2×#47711yescharacteristic
311C2×C73#308411yescharacteristic
312C2×C73#329911yescharacteristic
313C2×C73#329911yescharacteristic
314C2×C73#330611yescharacteristic
315C2×C73#331011yescharacteristic
316#2440C2×C7311yescharacteristic
317#2360C2×C7311yescharacteristic
318#2100C2×C7311yescharacteristic, complemented
319#2087C2×C7311yescharacteristic, complemented
320#2068C2×C7311yescharacteristic, complemented
321#2024C2×C7311yescharacteristic, complemented
322#1987C2×C7311yescharacteristic, complemented
323#1921C2×C7311yescharacteristic, complemented
324#1892C2×C7311yescharacteristic
325#1872C2×C7311yescharacteristic
326#1863C2×C7311yescharacteristic, complemented
327#1852C2×C7311yescharacteristic
328#1850C2×C7311yescharacteristic
329#1803C2×C7311yescharacteristic, complemented
330C2×#340C2×C7311yescharacteristic
331C73#2641411yescharacteristic, direct product factor, Sylow
332C23×C8C22×C7311yescharacteristic
333C2×C4⋊Q8C22×C7311yescharacteristic
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8C22×C7311yescharacteristic
336C2×C4×Q8C22×C7311yescharacteristic
337C22×C4⋊C4C22×C7311yescharacteristic
338C22×C4⋊C4C22×C7311yescharacteristic
339C2×#107C22×C7311yescharacteristic
340C2×#107C22×C7311yescharacteristic
341C2×C4⋊C8C22×C7311yescharacteristic
342C2×C4⋊C8C22×C7311yescharacteristic
343C2×#103C22×C7311yescharacteristic
344C2×#103C22×C7311yescharacteristic
345C2×#103C22×C7311yescharacteristic
346C2×#103C22×C7311yescharacteristic
347C2×C22⋊C8C22×C7311yescharacteristic
348#398—21no—
349#395—21no—
350#391C22×C7311yescharacteristic
351#389—21no—
352#389C22×C7311yescharacteristic
353#389C22×C7311yescharacteristic
354#389C22×C7311yescharacteristic
355#387—21no—
356#385—21no—
357#385—21no—
358#384C22×C7311yescharacteristic
359#380C22×C7311yescharacteristic
360C4×C4⋊C4C22×C7311yescharacteristic
361C4×C22⋊C4—21no—
362C4×C22⋊C4C22×C7311yescharacteristic
363#340C22×C7311yescharacteristic
364#340C22×C7311yescharacteristic
365#340C22×C7311yescharacteristic
366#340C22×C7311yescharacteristic
367#340C22×C7311yescharacteristic
368#340C22×C7311yescharacteristic
369#340C22×C7311yescharacteristic
370#340C22×C7311yescharacteristic
371#340C22×C7311yescharacteristic
372#340C22×C7311yescharacteristic
373#336C22×C7311yescharacteristic
374#336C22×C7311yescharacteristic
375C22×Q8—21no—
376C22×Q8C23×C7311yescharacteristic
377C23×C4—21no—
378C23×C4—21no—
379C23×C4C23×C7311yescharacteristic
380C22×C8—22no—
381C22×C8—41no—
382C22×C8—41no—
383C22×C8C23×C7311yescharacteristic
384C22×C8C23×C7311yescharacteristic
385C22×C8C23×C7311yescharacteristic
386C22×C8C23×C7311yescharacteristic
387C4⋊Q8—22no—
388C4⋊Q8—41no—
389C22⋊Q8—22no—
390C22⋊Q8—44no—
391C22⋊Q8Q8×C7314yescomplemented
392C4×Q8—22no—
393C4×Q8—41no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—41no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4C23×C7311yescharacteristic
409C2×C4⋊C4C23×C7311yescharacteristic
410C2×C4⋊C4C23×C7311yescharacteristic
411C2×C4⋊C4C23×C7311yescharacteristic
412C2×C4⋊C4C23×C7311yescharacteristic
413C2×C4⋊C4C23×C7311yescharacteristic
414C2×C4⋊C4C23×C7311yescharacteristic
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4D4×C7311yescharacteristic
418C2×C22⋊C4D4×C7311yescharacteristic
419C2×C42—21no—
420C2×C42—21no—
421C2×C42C23×C7311yescharacteristic
422C2×C42C23×C7311yescharacteristic
423#107—22no—
424#107—41no—
425C4⋊C8—41no—
426C4⋊C8—41no—
427#103—22no—
428#103—41no—
429#103—41no—
430#103—41no—
431C22⋊C8—22no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95D4×C7311yescharacteristic
440#95D4×C7311yescharacteristic
441C24C2×D4×C7311yescharacteristic
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—21no—
446C2×Q8—21no—
447C2×Q8—42no—
448C2×Q8—42no—
449C2×Q8—81no—
450C2×Q8C2×Q8×C7312yes—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—81no—
468C22×C4—81no—
469C22×C4C2×D4×C7311yescharacteristic
470C22×C4C2×D4×C7311yescharacteristic
471C22×C4C2×D4×C7311yescharacteristic
472C22×C4C2×D4×C7311yescharacteristic
473C22×C4C2×D4×C7311yescharacteristic
474C22×C4C2×Q8×C7312yes—
475C22×C4#41×C7312yes—
476C22×C4C24×C7311yescharacteristic
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—44no—
490C4⋊C4—24no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—42no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4C2×Q8×C7312yes—
512C4⋊C4#41×C7312yes—
513C4⋊C4#41×C7312yes—
514C22⋊C4—24no—
515C22⋊C4—22no—
516C22⋊C4—42no—
517C22⋊C4Q16×C7314yes—
518C42—21no—
519C42—21no—
520C42—21no—
521C42—21no—
522C42—42no—
523C42—81no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23C22⋊Q8×C7312yes—
529C23C2×Q16×C7312yes—
530C23AGL(1,ℤ/8)×C7312yes—
531C23C22×D4×C7311yescharacteristic
532Q8—22no—
533Q8—22no—
534Q8—41no—
535Q8—41no—
536Q8—84no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
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—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—84no—
578C2×C4—84no—
579C2×C4C22⋊Q8×C7312yes—
580C2×C4C2×Q16×C7312yes—
581C2×C4C2×Q16×C7312yes—
582C2×C4C22×Q8×C7311yescharacteristic
583C2×C4C2×#41×C7311yescharacteristic
584C2×C4C2×#41×C7311yescharacteristic
585C2×C4C2×#41×C7311yescharacteristic
586C2×C4H(5,𝔽2)×C7311yescharacteristic
587C2×C4H(5,𝔽2)×C7311yescharacteristic
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22#477×C7314yes—
599C22C2×C22⋊Q8×C7311yescharacteristic
600C22#546×C7311yescharacteristic
601C22#546×C7311yescharacteristic
602C22C22×Q16×C7311yescharacteristic
603C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
604C22#577×C7311yescharacteristic
605C22#577×C7311yescharacteristic
606C4—22no—
607C4—22no—
608C4—22no—
609C4—42no—
610C4—41no—
611C4—42no—
612C4—41no—
613C4—42no—
614C4—42no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4—81no—
619C4#529×C7311yescharacteristic
620C4#538×C7311yescharacteristic
621C4#554×C7311yescharacteristic
622C4#554×C7311yescharacteristic
623C2—24no—
624C2C73×#245011yescharacteristic
625C2C2×#477×C7311yescharacteristic
626C2C73×#308411yescharacteristic
627C2C73×#329911yescharacteristic
628C2C73×#329911yescharacteristic
629C2C73×#330611yescharacteristic
630C2C73×#331011yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC24×C73C2×D4
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
3. C73×#2100C2semidirect
4. C73×#2087C2semidirect
5. C73×#2068C2semidirect
6. C73×#2024C2semidirect
7. C73×#1987C2semidirect
8. C73×#1921C2semidirect
11. C73×#1863C2semidirect
14. C73×#1803C2semidirect
75. C22⋊Q8×C73Q8semidirect
307. #26414C73direct (N × H)
318. #2100C2×C73semidirect
319. #2087C2×C73semidirect
320. #2068C2×C73semidirect
321. #2024C2×C73semidirect
322. #1987C2×C73semidirect
323. #1921C2×C73semidirect
326. #1863C2×C73semidirect
329. #1803C2×C73semidirect
331. C73#26414direct (N × H)
391. C22⋊Q8Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#24402
C73×#23602
C73×#21002
C73×#20872
C73×#20682
C73×#20242
C73×#19872
C73×#19212
C73×#18922
C73×#18722
C73×#18632
C73×#18522
C73×#18502
C73×#18032
C2×#340×C732
#2641473