Finite Group Databasebeta

← C73×#24951 #32934355

Subgroups — C73×#24951 #32934355

Order 18688.

800 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2485C211yesmaximal, characteristic
2D4×C4⋊C4×C73C211yesmaximal, characteristic
3C73×#2100C211yesmaximal, characteristic, complemented
4C73×#2083C211yesmaximal, characteristic, complemented
5C73×#2077C211yesmaximal, characteristic, complemented
6C73×#2075C211yesmaximal, characteristic, complemented
7C73×#1921C211yesmaximal, characteristic, complemented
8C73×#1919C211yesmaximal, characteristic, complemented
9C73×#1870C211yesmaximal, characteristic
10C73×#1852C211yesmaximal, characteristic, complemented
11C73×#1852C211yesmaximal, characteristic, complemented
12C73×#1825C211yesmaximal, characteristic, complemented
13C73×#1823C211yesmaximal, characteristic, complemented
14C73×#1809C211yesmaximal, characteristic, complemented
15C73×#1736C211yesmaximal, characteristic, complemented
16C22×M16×C73C2211yescharacteristic
17C2×C4×D4×C73—21no—
18C2×C4×D4×C73C2211yescharacteristic
19C2×#117×C73C2211yescharacteristic
20C22×C4⋊C4×C73C2211yescharacteristic
21C22×C4⋊C4×C73C2211yescharacteristic
22C2×#107×C73C2211yescharacteristic
23C2×#107×C73C2211yescharacteristic
24C2×#107×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×C22⋊C8×C73C2211yescharacteristic
27C2×C22⋊C8×C73C2211yescharacteristic
28C2×C22⋊C8×C73C2211yescharacteristic
29#397×C73—21no—
30#394×C73—21no—
31#389×C73—21no—
32#389×C73C2211yescharacteristic
33#389×C73C2211yescharacteristic
34#388×C73—21no—
35#387×C73—21no—
36#385×C73—21no—
37#385×C73—21no—
38#384×C73C2211yescharacteristic
39#380×C73C2211yescharacteristic
40#380×C73C2211yescharacteristic
41#380×C73C2211yescharacteristic
42#380×C73C2211yescharacteristic
43#380×C73C2211yescharacteristic
44C4×C4⋊C4×C73C2211yescharacteristic
45#340×C73C2211yescharacteristic
46#340×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×D4×C73D411yescharacteristic
60C23×C4×C73—21no—
61C23×C4×C73—21no—
62C23×C4×C73C2311yescharacteristic
63C23×C4×C73C2311yescharacteristic
64C2×M16×C73—22no—
65C2×M16×C73—22no—
66C2×M16×C73—41no—
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C4×D4×C73—22no—
72C4×D4×C73—22no—
73C4×D4×C73—44no—
74#117×C73—22no—
75#117×C73—22no—
76C2×C4⋊C4×C73—22no—
77C2×C4⋊C4×C73—22no—
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×C73—21no—
84C2×C4⋊C4×C73—41no—
85C2×C4⋊C4×C73—41no—
86C2×C4⋊C4×C73D411yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
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×C73D411yescharacteristic
102C2×C22⋊C4×C73D411yescharacteristic
103C2×C42×C73—21no—
104C2×C42×C73—21no—
105C2×C42×C73C2311yescharacteristic
106#107×C73—22no—
107#107×C73—41no—
108#107×C73—41no—
109#106×C73—22no—
110C22⋊C8×C73—22no—
111C22⋊C8×C73—22no—
112C22⋊C8×C73—41no—
113#95×C73—21no—
114#95×C73—21no—
115#95×C73—21no—
116#95×C73—21no—
117#95×C73—21no—
118#95×C73—21no—
119#95×C73—21no—
120#95×C73—21no—
121C24×C73C2×D411yescharacteristic
122C24×C73C2×D411yescharacteristic
123C2×D4×C73—22no—
124C2×D4×C73—22no—
125C2×D4×C73—22no—
126C22×C4×C73—21no—
127C22×C4×C73—21no—
128C22×C4×C73—21no—
129C22×C4×C73—21no—
130C22×C4×C73—21no—
131C22×C4×C73—21no—
132C22×C4×C73—21no—
133C22×C4×C73—21no—
134C22×C4×C73—21no—
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—42no—
145C22×C4×C73—42no—
146C22×C4×C73—42no—
147C22×C4×C73—42no—
148C22×C4×C73—81no—
149C22×C4×C73—81no—
150C22×C4×C73C2×D411yescharacteristic
151C22×C4×C73C2×D411yescharacteristic
152C22×C4×C73C2×D411yescharacteristic
153C22×C4×C73C2×D411yescharacteristic
154C22×C4×C73#4112yes—
155C22×C4×C73#4112yes—
156C22×C4×C73C2411yescharacteristic
157M16×C73—44no—
158C2×C8×C73—21no—
159C2×C8×C73—21no—
160C2×C8×C73—21no—
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#4112yes—
170C4⋊C4×C73—22no—
171C4⋊C4×C73—21no—
172C4⋊C4×C73—21no—
173C4⋊C4×C73—21no—
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—42no—
187C4⋊C4×C73—42no—
188C4⋊C4×C73—42no—
189C4⋊C4×C73—42no—
190C4⋊C4×C73—81no—
191C4⋊C4×C73—81no—
192C4⋊C4×C73#4112yes—
193C22⋊C4×C73—22no—
194C22⋊C4×C73—22no—
195C22⋊C4×C73—42no—
196C22⋊C4×C73—42no—
197C22⋊C4×C73—42no—
198C22⋊C4×C73—42no—
199C22⋊C4×C73—81no—
200C22⋊C4×C73—81no—
201C42×C73—21no—
202C42×C73—21no—
203C42×C73—42no—
204C42×C73—42no—
205C23×C73—21no—
206C23×C73—21no—
207C23×C73—21no—
208C23×C73—21no—
209C23×C73—21no—
210C23×C73—21no—
211C23×C73—21no—
212C23×C73—21no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73#12312yes—
218C23×C73AGL(1,ℤ/8)12yes—
219C23×C73C22×D411yescharacteristic
220D4×C73—28no—
221C2×C4×C73—21no—
222C2×C4×C73—21no—
223C2×C4×C73—21no—
224C2×C4×C73—21no—
225C2×C4×C73—22no—
226C2×C4×C73—22no—
227C2×C4×C73—22no—
228C2×C4×C73—22no—
229C2×C4×C73—21no—
230C2×C4×C73—21no—
231C2×C4×C73—22no—
232C2×C4×C73—21no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—41no—
237C2×C4×C73—41no—
238C2×C4×C73—41no—
239C2×C4×C73—41no—
240C2×C4×C73—41no—
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—41no—
262C2×C4×C73—41no—
263C2×C4×C73—84no—
264C2×C4×C73—84no—
265C2×C4×C73#12312yes—
266C2×C4×C73#13712yes—
267C2×C4×C73C2×#4111yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73C2×#4111yescharacteristic
271C2×C4×C73H(5,𝔽2)11yescharacteristic
272C2×C4×C732−1+411yescharacteristic
273C8×C73—22no—
274C8×C73—41no—
275C8×C73—41no—
276C8×C73—41no—
277C22×C73—22no—
278C22×C73—22no—
279C22×C73—22no—
280C22×C73—22no—
281C22×C73—22no—
282C22×C73—22no—
283C22×C73—41no—
284C22×C73—41no—
285C22×C73—41no—
286C22×C73—41no—
287C22×C73—41no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73C2×#12311yescharacteristic
292C22×C73#54611yescharacteristic
293C22×C73#54711yescharacteristic
294C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
295C22×C73C2×#13711yescharacteristic
296C22×C73#57611yescharacteristic
297C22×C73#57811yescharacteristic
298C4×C73—22no—
299C4×C73—22no—
300C4×C73—41no—
301C4×C73—41no—
302C4×C73—42no—
303C4×C73—81no—
304C4×C73—81no—
305C4×C73—81no—
306C4×C73—81no—
307C4×C73—81no—
308C4×C73—81no—
309C4×C73—81no—
310C4×C73#52911yescharacteristic
311C4×C73#53911yescharacteristic
312C4×C73#55111yescharacteristic
313C4×C73#55211yescharacteristic
314#24951C7311yesmaximal, characteristic, direct product factor, Sylow
315C2×C73—42no—
316C2×C73—42no—
317C2×C73#241911yescharacteristic
318C2×C73#309211yescharacteristic
319C2×C73#309811yescharacteristic
320C2×C73#331811yescharacteristic
321C2×C73#332811yescharacteristic
322C2×C73#334311yescharacteristic
323C2×C73#335711yescharacteristic
324#2485C2×C7311yescharacteristic
325D4×C4⋊C4C2×C7311yescharacteristic
326#2100C2×C7311yescharacteristic, complemented
327#2083C2×C7311yescharacteristic, complemented
328#2077C2×C7311yescharacteristic, complemented
329#2075C2×C7311yescharacteristic, complemented
330#1921C2×C7311yescharacteristic, complemented
331#1919C2×C7311yescharacteristic, complemented
332#1870C2×C7311yescharacteristic
333#1852C2×C7311yescharacteristic, complemented
334#1852C2×C7311yescharacteristic, complemented
335#1825C2×C7311yescharacteristic, complemented
336#1823C2×C7311yescharacteristic, complemented
337#1809C2×C7311yescharacteristic, complemented
338#1736C2×C7311yescharacteristic, complemented
339C73#2495111yescharacteristic, direct product factor, Sylow
340C22×M16C22×C7311yescharacteristic
341C2×C4×D4—21no—
342C2×C4×D4C22×C7311yescharacteristic
343C2×#117C22×C7311yescharacteristic
344C22×C4⋊C4C22×C7311yescharacteristic
345C22×C4⋊C4C22×C7311yescharacteristic
346C2×#107C22×C7311yescharacteristic
347C2×#107C22×C7311yescharacteristic
348C2×#107C22×C7311yescharacteristic
349C2×#106C22×C7311yescharacteristic
350C2×C22⋊C8C22×C7311yescharacteristic
351C2×C22⋊C8C22×C7311yescharacteristic
352C2×C22⋊C8C22×C7311yescharacteristic
353#397—21no—
354#394—21no—
355#389—21no—
356#389C22×C7311yescharacteristic
357#389C22×C7311yescharacteristic
358#388—21no—
359#387—21no—
360#385—21no—
361#385—21no—
362#384C22×C7311yescharacteristic
363#380C22×C7311yescharacteristic
364#380C22×C7311yescharacteristic
365#380C22×C7311yescharacteristic
366#380C22×C7311yescharacteristic
367#380C22×C7311yescharacteristic
368C4×C4⋊C4C22×C7311yescharacteristic
369#340C22×C7311yescharacteristic
370#340C22×C7311yescharacteristic
371#340C22×C7311yescharacteristic
372#340C22×C7311yescharacteristic
373#340C22×C7311yescharacteristic
374#340C22×C7311yescharacteristic
375#340C22×C7311yescharacteristic
376#340C22×C7311yescharacteristic
377#340C22×C7311yescharacteristic
378#340C22×C7311yescharacteristic
379#340C22×C7311yescharacteristic
380#340C22×C7311yescharacteristic
381#336C22×C7311yescharacteristic
382#336C22×C7311yescharacteristic
383C22×D4D4×C7311yescharacteristic
384C23×C4—21no—
385C23×C4—21no—
386C23×C4C23×C7311yescharacteristic
387C23×C4C23×C7311yescharacteristic
388C2×M16—22no—
389C2×M16—22no—
390C2×M16—41no—
391C22×C8C23×C7311yescharacteristic
392C22×C8C23×C7311yescharacteristic
393C22×C8C23×C7311yescharacteristic
394C22×C8C23×C7311yescharacteristic
395C4×D4—22no—
396C4×D4—22no—
397C4×D4—44no—
398#117—22no—
399#117—22no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—41no—
409C2×C4⋊C4—41no—
410C2×C4⋊C4D4×C7311yescharacteristic
411C2×C4⋊C4C23×C7311yescharacteristic
412C2×C4⋊C4C23×C7311yescharacteristic
413C2×C4⋊C4C23×C7311yescharacteristic
414C2×C4⋊C4C23×C7311yescharacteristic
415C2×C4⋊C4C23×C7311yescharacteristic
416C2×C4⋊C4C23×C7311yescharacteristic
417C2×C4⋊C4C23×C7311yescharacteristic
418C2×C4⋊C4C23×C7311yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C7311yescharacteristic
426C2×C22⋊C4D4×C7311yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42C23×C7311yescharacteristic
430#107—22no—
431#107—41no—
432#107—41no—
433#106—22no—
434C22⋊C8—22no—
435C22⋊C8—22no—
436C22⋊C8—41no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445C24C2×D4×C7311yescharacteristic
446C24C2×D4×C7311yescharacteristic
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C22×C4—21no—
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—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4C2×D4×C7311yescharacteristic
475C22×C4C2×D4×C7311yescharacteristic
476C22×C4C2×D4×C7311yescharacteristic
477C22×C4C2×D4×C7311yescharacteristic
478C22×C4#41×C7312yes—
479C22×C4#41×C7312yes—
480C22×C4C24×C7311yescharacteristic
481M16—44no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8#41×C7312yes—
494C4⋊C4—22no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
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—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C4⋊C4#41×C7312yes—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—81no—
524C22⋊C4—81no—
525C42—21no—
526C42—21no—
527C42—42no—
528C42—42no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23#123×C7312yes—
542C23AGL(1,ℤ/8)×C7312yes—
543C23C22×D4×C7311yescharacteristic
544D4—28no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
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—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—84no—
588C2×C4—84no—
589C2×C4#123×C7312yes—
590C2×C4#137×C7312yes—
591C2×C4C2×#41×C7311yescharacteristic
592C2×C4C2×#41×C7311yescharacteristic
593C2×C4C2×#41×C7311yescharacteristic
594C2×C4C2×#41×C7311yescharacteristic
595C2×C4H(5,𝔽2)×C7311yescharacteristic
596C2×C42−1+4×C7311yescharacteristic
597C8—22no—
598C8—41no—
599C8—41no—
600C8—41no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22C2×#123×C7311yescharacteristic
616C22#546×C7311yescharacteristic
617C22#547×C7311yescharacteristic
618C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
619C22C2×#137×C7311yescharacteristic
620C22#576×C7311yescharacteristic
621C22#578×C7311yescharacteristic
622C4—22no—
623C4—22no—
624C4—42no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4#529×C7311yescharacteristic
635C4#539×C7311yescharacteristic
636C4#551×C7311yescharacteristic
637C4#552×C7311yescharacteristic
638C2—42no—
639C2—42no—
640C2C73×#241911yescharacteristic
641C2C73×#309211yescharacteristic
642C2C73×#309811yescharacteristic
643C2C73×#331811yescharacteristic
644C2C73×#332811yescharacteristic
645C2C73×#334311yescharacteristic
646C2C73×#335711yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC22×D4×C73D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C2×C4×D4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
3. C73×#2100C2semidirect
4. C73×#2083C2semidirect
5. C73×#2077C2semidirect
6. C73×#2075C2semidirect
7. C73×#1921C2semidirect
8. C73×#1919C2semidirect
10. C73×#1852C2semidirect
11. C73×#1852C2semidirect
12. C73×#1825C2semidirect
13. C73×#1823C2semidirect
14. C73×#1809C2semidirect
15. C73×#1736C2semidirect
314. #24951C73direct (N × H)
326. #2100C2×C73semidirect
327. #2083C2×C73semidirect
328. #2077C2×C73semidirect
329. #2075C2×C73semidirect
330. #1921C2×C73semidirect
331. #1919C2×C73semidirect
333. #1852C2×C73semidirect
334. #1852C2×C73semidirect
335. #1825C2×C73semidirect
336. #1823C2×C73semidirect
337. #1809C2×C73semidirect
338. #1736C2×C73semidirect
339. C73#24951direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#24852
D4×C4⋊C4×C732
C73×#21002
C73×#20832
C73×#20772
C73×#20752
C73×#19212
C73×#19192
C73×#18702
C73×#18522
C73×#18252
C73×#18232
C73×#18092
C73×#17362
#2495173