Finite Group Databasebeta

← C73×#26790 #32936194

Subgroups — C73×#26790 #32936194

Order 18688.

820 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#484×C73C211yesmaximal, characteristic
2C2×#477×C73C211yesmaximal, characteristic, complemented
3C73×#2492C211yesmaximal, characteristic
4C73×#2360C211yesmaximal, characteristic
5C73×#2068C211yesmaximal, characteristic, complemented
6C73×#2057C211yesmaximal, characteristic, complemented
7C73×#2036C211yesmaximal, characteristic
8C73×#2001C211yesmaximal, characteristic
9C73×#1969C211yesmaximal, characteristic, complemented
10C73×#1928C211yesmaximal, characteristic, complemented
11C73×#1928C211yesmaximal, characteristic, complemented
12C73×#1923C211yesmaximal, characteristic
13C73×#1878C211yesmaximal, characteristic, complemented
14C73×#1852C211yesmaximal, characteristic
15C4×#107×C73C211yesmaximal, characteristic, complemented
16C22×Q16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73C2211yescharacteristic
19C2×C22⋊Q8×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C22×C4⋊C4×C73C2211yescharacteristic
22#484×C73—24no—
23#477×C73—24no—
24C2×#107×C73C2211yescharacteristic
25C2×#107×C73C2211yescharacteristic
26C2×#107×C73C2211yescharacteristic
27C2×#107×C73C2211yescharacteristic
28C2×#107×C73C2211yescharacteristic
29C2×C4⋊C8×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#103×C73C2211yescharacteristic
33C2×#103×C73C2211yescharacteristic
34C2×#103×C73C2211yescharacteristic
35C2×#103×C73C2211yescharacteristic
36C2×C22⋊C8×C73C2211yescharacteristic
37C2×C22⋊C8×C73C2211yescharacteristic
38C2×C4×C8×C73C2211yescharacteristic
39#400×C73—21no—
40#393×C73—21no—
41#391×C73—21no—
42#391×C73C2211yescharacteristic
43#391×C73C2211yescharacteristic
44#391×C73C2211yescharacteristic
45#389×C73—21no—
46#389×C73C2211yescharacteristic
47#388×C73—21no—
48#387×C73—21no—
49#385×C73—21no—
50#380×C73C2211yescharacteristic
51C4×C4⋊C4×C73C2211yescharacteristic
52C4×C4⋊C4×C73C2211yescharacteristic
53C4×C22⋊C4×C73—21no—
54C4×C22⋊C4×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73—21no—
62C22×Q8×C73C2311yescharacteristic
63C22×Q8×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C23×C4×C73C2311yescharacteristic
66C2×Q16×C73—22no—
67C2×Q16×C73—22no—
68C2×Q16×C73—41no—
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73C4⋊Q8×C73—22no—
74C4⋊Q8×C73—41no—
75C22⋊Q8×C73—22no—
76C22⋊Q8×C73—22no—
77C22⋊Q8×C73—22no—
78C22⋊Q8×C73—41no—
79C4×Q8×C73—22no—
80C4×Q8×C73—41no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—22no—
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—41no—
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×C73D411yescharacteristic
99C2×C22⋊C4×C73D411yescharacteristic
100C2×C42×C73—21no—
101C2×C42×C73—21no—
102C2×C42×C73—21no—
103C2×C42×C73C2311yescharacteristic
104C2×C42×C73C2311yescharacteristic
105#107×C73—22no—
106#107×C73—22no—
107#107×C73—22no—
108#107×C73—41no—
109#107×C73D414yes—
110C4⋊C8×C73—22no—
111#103×C73—22no—
112#103×C73—22no—
113#103×C73—22no—
114#103×C73—22no—
115#103×C73—22no—
116#103×C73—22no—
117C22⋊C8×C73—22no—
118C22⋊C8×C73—22no—
119C4×C8×C73—22no—
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—
127#95×C73—21no—
128#95×C73—21no—
129#95×C73—21no—
130#95×C73D411yescharacteristic
131#95×C73D411yescharacteristic
132C24×C73C2×D411yescharacteristic
133C2×Q8×C73—21no—
134C2×Q8×C73—21no—
135C2×Q8×C73—21no—
136C2×Q8×C73—21no—
137C2×Q8×C73—21no—
138C2×Q8×C73—21no—
139C2×Q8×C73—21no—
140C2×Q8×C73—21no—
141C2×Q8×C73—21no—
142C2×Q8×C73—21no—
143C2×Q8×C73—21no—
144C2×Q8×C73—42no—
145C2×Q8×C73—42no—
146C2×Q8×C73—81no—
147C2×Q8×C73#4112yes—
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—21no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—21no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—42no—
163C22×C4×C73—42no—
164C22×C4×C73—81no—
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2×D411yescharacteristic
167C22×C4×C73C2×D411yescharacteristic
168C22×C4×C73C2×D411yescharacteristic
169C22×C4×C73C2×D411yescharacteristic
170C22×C4×C73C2411yescharacteristic
171Q16×C73—44no—
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—21no—
181C2×C8×C73—21no—
182C2×C8×C73C2×D412yes—
183C2×C8×C73#4112yes—
184C4⋊C4×C73—24no—
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—42no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73—42no—
197C4⋊C4×C73—42no—
198C4⋊C4×C73—81no—
199C4⋊C4×C73C2×D412yes—
200C4⋊C4×C73C2×D412yes—
201C4⋊C4×C73#4112yes—
202C22⋊C4×C73—24no—
203C22⋊C4×C73—41no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—81no—
206C22⋊C4×C73Q1614yescomplemented
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—42no—
212C42×C73—81no—
213C42×C73—81no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73C2×Q1612yes—
221C23×C73C22×D411yescharacteristic
222Q8×C73—22no—
223Q8×C73—22no—
224Q8×C73—41no—
225Q8×C73—41no—
226Q8×C73—41no—
227Q8×C73—41no—
228Q8×C73—41no—
229Q8×C73—41no—
230Q8×C73—84no—
231C2×C4×C73—21no—
232C2×C4×C73—21no—
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—22no—
240C2×C4×C73—22no—
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—41no—
269C2×C4×C73—41no—
270C2×C4×C73—41no—
271C2×C4×C73—41no—
272C2×C4×C73—84no—
273C2×C4×C73C2×Q1612yes—
274C2×C4×C73C2×Q1612yes—
275C2×C4×C73C22×D411yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73H(5,𝔽2)11yescharacteristic
280C2×C4×C732−1+411yescharacteristic
281C8×C73—22no—
282C8×C73—22no—
283C8×C73—41no—
284C8×C73—41no—
285C22×C73—22no—
286C22×C73—22no—
287C22×C73—22no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73—41no—
292C22×C73#52511yescharacteristic
293C22×C73D4211yescharacteristic
294C22×C73#54711yescharacteristic
295C22×C73C22×Q1611yescharacteristic
296C22×C73#57511yescharacteristic
297C22×C73#57611yescharacteristic
298C22×C73#57811yescharacteristic
299C4×C73—22no—
300C4×C73—22no—
301C4×C73—41no—
302C4×C73—42no—
303C4×C73—41no—
304C4×C73—42no—
305C4×C73—41no—
306C4×C73—42no—
307C4×C73—42no—
308C4×C73—81no—
309C4×C73—81no—
310C4×C73—81no—
311C4×C73—81no—
312C4×C73#53211yescharacteristic
313C4×C73#54211yescharacteristic
314C4×C73#54811yescharacteristic
315C4×C73#55111yescharacteristic
316#26790C7311yesmaximal, characteristic, direct product factor, Sylow
317C2×C73—42no—
318C2×C73#246111yescharacteristic
319C2×C73#310411yescharacteristic
320C2×C73#312411yescharacteristic
321C2×C73#327311yescharacteristic
322C2×C73D4×Q1611yescharacteristic
323C2×C73#333811yescharacteristic
324C2×C73#334911yescharacteristic
325C2×#484C2×C7311yescharacteristic
326C2×#477C2×C7311yescharacteristic, complemented
327#2492C2×C7311yescharacteristic
328#2360C2×C7311yescharacteristic
329#2068C2×C7311yescharacteristic, complemented
330#2057C2×C7311yescharacteristic, complemented
331#2036C2×C7311yescharacteristic
332#2001C2×C7311yescharacteristic
333#1969C2×C7311yescharacteristic, complemented
334#1928C2×C7311yescharacteristic, complemented
335#1928C2×C7311yescharacteristic, complemented
336#1923C2×C7311yescharacteristic
337#1878C2×C7311yescharacteristic, complemented
338#1852C2×C7311yescharacteristic
339C4×#107C2×C7311yescharacteristic, complemented
340C73#2679011yescharacteristic, direct product factor, Sylow
341C22×Q16C22×C7311yescharacteristic
342C2×C4⋊Q8C22×C7311yescharacteristic
343C2×C22⋊Q8C22×C7311yescharacteristic
344C2×C22⋊Q8C22×C7311yescharacteristic
345C2×C4×Q8C22×C7311yescharacteristic
346C22×C4⋊C4C22×C7311yescharacteristic
347#484—24no—
348#477—24no—
349C2×#107C22×C7311yescharacteristic
350C2×#107C22×C7311yescharacteristic
351C2×#107C22×C7311yescharacteristic
352C2×#107C22×C7311yescharacteristic
353C2×#107C22×C7311yescharacteristic
354C2×C4⋊C8C22×C7311yescharacteristic
355C2×#103C22×C7311yescharacteristic
356C2×#103C22×C7311yescharacteristic
357C2×#103C22×C7311yescharacteristic
358C2×#103C22×C7311yescharacteristic
359C2×#103C22×C7311yescharacteristic
360C2×#103C22×C7311yescharacteristic
361C2×C22⋊C8C22×C7311yescharacteristic
362C2×C22⋊C8C22×C7311yescharacteristic
363C2×C4×C8C22×C7311yescharacteristic
364#400—21no—
365#393—21no—
366#391—21no—
367#391C22×C7311yescharacteristic
368#391C22×C7311yescharacteristic
369#391C22×C7311yescharacteristic
370#389—21no—
371#389C22×C7311yescharacteristic
372#388—21no—
373#387—21no—
374#385—21no—
375#380C22×C7311yescharacteristic
376C4×C4⋊C4C22×C7311yescharacteristic
377C4×C4⋊C4C22×C7311yescharacteristic
378C4×C22⋊C4—21no—
379C4×C22⋊C4C22×C7311yescharacteristic
380#340C22×C7311yescharacteristic
381#340C22×C7311yescharacteristic
382#340C22×C7311yescharacteristic
383#340C22×C7311yescharacteristic
384#336C22×C7311yescharacteristic
385#336C22×C7311yescharacteristic
386C22×Q8—21no—
387C22×Q8C23×C7311yescharacteristic
388C22×Q8C23×C7311yescharacteristic
389C23×C4—21no—
390C23×C4C23×C7311yescharacteristic
391C2×Q16—22no—
392C2×Q16—22no—
393C2×Q16—41no—
394C22×C8C23×C7311yescharacteristic
395C22×C8C23×C7311yescharacteristic
396C22×C8C23×C7311yescharacteristic
397C22×C8C23×C7311yescharacteristic
398C4⋊Q8—22no—
399C4⋊Q8—41no—
400C22⋊Q8—22no—
401C22⋊Q8—22no—
402C22⋊Q8—22no—
403C22⋊Q8—41no—
404C4×Q8—22no—
405C4×Q8—41no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—41no—
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×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4D4×C7311yescharacteristic
424C2×C22⋊C4D4×C7311yescharacteristic
425C2×C42—21no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42C23×C7311yescharacteristic
429C2×C42C23×C7311yescharacteristic
430#107—22no—
431#107—22no—
432#107—22no—
433#107—41no—
434#107D4×C7314yes—
435C4⋊C8—22no—
436#103—22no—
437#103—22no—
438#103—22no—
439#103—22no—
440#103—22no—
441#103—22no—
442C22⋊C8—22no—
443C22⋊C8—22no—
444C4×C8—22no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C7311yescharacteristic
456#95D4×C7311yescharacteristic
457C24C2×D4×C7311yescharacteristic
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×Q8#41×C7312yes—
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—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4C2×D4×C7311yescharacteristic
491C22×C4C2×D4×C7311yescharacteristic
492C22×C4C2×D4×C7311yescharacteristic
493C22×C4C2×D4×C7311yescharacteristic
494C22×C4C2×D4×C7311yescharacteristic
495C22×C4C24×C7311yescharacteristic
496Q16—44no—
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×C8#41×C7312yes—
509C4⋊C4—24no—
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—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4C2×D4×C7312yes—
525C4⋊C4C2×D4×C7312yes—
526C4⋊C4#41×C7312yes—
527C22⋊C4—24no—
528C22⋊C4—41no—
529C22⋊C4—42no—
530C22⋊C4—81no—
531C22⋊C4Q16×C7314yescomplemented
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—42no—
537C42—81no—
538C42—81no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23C2×Q16×C7312yes—
546C23C22×D4×C7311yescharacteristic
547Q8—22no—
548Q8—22no—
549Q8—41no—
550Q8—41no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—84no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
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—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—84no—
598C2×C4C2×Q16×C7312yes—
599C2×C4C2×Q16×C7312yes—
600C2×C4C22×D4×C7311yescharacteristic
601C2×C4C2×#41×C7311yescharacteristic
602C2×C4C2×#41×C7311yescharacteristic
603C2×C4C2×#41×C7311yescharacteristic
604C2×C4H(5,𝔽2)×C7311yescharacteristic
605C2×C42−1+4×C7311yescharacteristic
606C8—22no—
607C8—22no—
608C8—41no—
609C8—41no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22#525×C7311yescharacteristic
618C22D42×C7311yescharacteristic
619C22#547×C7311yescharacteristic
620C22C22×Q16×C7311yescharacteristic
621C22#575×C7311yescharacteristic
622C22#576×C7311yescharacteristic
623C22#578×C7311yescharacteristic
624C4—22no—
625C4—22no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—42no—
630C4—42no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4#532×C7311yescharacteristic
638C4#542×C7311yescharacteristic
639C4#548×C7311yescharacteristic
640C4#551×C7311yescharacteristic
641C2—42no—
642C2C73×#246111yescharacteristic
643C2C73×#310411yescharacteristic
644C2C73×#312411yescharacteristic
645C2C73×#327311yescharacteristic
646C2D4×Q16×C7311yescharacteristic
647C2C73×#333811yescharacteristic
648C2C73×#334911yescharacteristic
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
2. C2×#477×C73C2semidirect
5. C73×#2068C2semidirect
6. C73×#2057C2semidirect
9. C73×#1969C2semidirect
10. C73×#1928C2semidirect
11. C73×#1928C2semidirect
13. C73×#1878C2semidirect
15. C4×#107×C73C2semidirect
206. C22⋊C4×C73Q16semidirect
316. #26790C73direct (N × H)
326. C2×#477C2×C73semidirect
329. #2068C2×C73semidirect
330. #2057C2×C73semidirect
333. #1969C2×C73semidirect
334. #1928C2×C73semidirect
335. #1928C2×C73semidirect
337. #1878C2×C73semidirect
339. C4×#107C2×C73semidirect
340. C73#26790direct (N × H)
531. C22⋊C4Q16×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#484×C732
C2×#477×C732
C73×#24922
C73×#23602
C73×#20682
C73×#20572
C73×#20362
C73×#20012
C73×#19692
C73×#19282
C73×#19232
C73×#18782
C73×#18522
C4×#107×C732
#2679073