Finite Group Databasebeta

← C73×#18450 #32927854

Subgroups — C73×#18450 #32927854

Order 18688.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3537C211yesmaximal, characteristic, complemented
2C73×#3194C211yesmaximal, characteristic, complemented
3C73×#3186C211yesmaximal, characteristic, complemented
4C73×#2815C211yesmaximal, characteristic, complemented
5C73×#1612C212yesmaximal, complemented
6C73×#1607C212yesmaximal, complemented
7C73×#1600C212yesmaximal, complemented
8C73×#1595C212yesmaximal, complemented
9C73×#1516C211yesmaximal, characteristic, complemented
10C73×#1510C211yesmaximal, characteristic, complemented
11C73×#1471C211yesmaximal, characteristic, complemented
12#560×C73—22no—
13#553×C73—21no—
14#553×C73—21no—
15D42×C73—22no—
16D42×C73—21no—
17D42×C73—21no—
18#540×C73—21no—
19#538×C73—21no—
20#538×C73C2212yes—
21#535×C73—21no—
22#534×C73—21no—
23#534×C73C2212yes—
24#525×C73C2211yescharacteristic
25C2×#121×C73C2211yescharacteristic
26C2×#121×C73C2211yescharacteristic
27C2×#121×C73C2211yescharacteristic, complemented
28#483×C73C2211yescharacteristic, complemented
29#482×C73—21no—
30#480×C73—21no—
31#480×C73C2211yescharacteristic, complemented
32#480×C73C2212yescomplemented
33#469×C73—21no—
34#468×C73—21no—
35#466×C73—22no—
36#450×C73C2211yescharacteristic, complemented
37#449×C73—21no—
38#447×C73—21no—
39#447×C73C2211yescharacteristic, complemented
40#447×C73C2212yescomplemented
41#407×C73C2211yescharacteristic, complemented
42C2×C22⋊C8×C73C2211yescharacteristic, complemented
43#397×C73—21no—
44#397×C73C2212yescomplemented
45#392×C73—21no—
46#392×C73—22no—
47#392×C73C2212yescomplemented
48#381×C73C2211yescharacteristic, complemented
49#328×C73C2212yescomplemented
50#327×C73C2212yescomplemented
51#327×C73C2212yescomplemented
52#327×C73C2212yescomplemented
53#323×C73C2212yescomplemented
54#323×C73C2212yescomplemented
55C2×#41×C73D411yescharacteristic, complemented
56C22×D4×C73—22no—
57C22×D4×C73—21no—
58C22×D4×C73—21no—
59C22×D4×C73—22no—
60C22×D4×C73—21no—
61C22×D4×C73—22no—
62C22×D4×C73D412yes—
63C22×D4×C73D411yescharacteristic
64C22×D4×C73D411yescharacteristic, complemented
65C22×D4×C73C2311yescharacteristic
66C23×C4×C73C2311yescharacteristic
67C2×SD16×C73—21no—
68C2×D8×C73—22no—
69C2×D8×C73—21no—
70C2×M16×C73—21no—
71C22×C8×C73—21no—
72#127×C73—22no—
73#127×C73—21no—
74#126×C73—22no—
75#126×C73—22no—
76#125×C73—21no—
77#124×C73—22no—
78#123×C73—22no—
79#123×C73—21no—
80#123×C73—22no—
81#123×C73—22no—
82#123×C73—22no—
83C22⋊Q8×C73D411yescharacteristic, complemented
84C22⋊Q8×C73C2311yescharacteristic
85#121×C73—22no—
86#121×C73—21no—
87#121×C73—21no—
88#121×C73—22no—
89#121×C73—22no—
90#121×C73—22no—
91#121×C73—22no—
92#121×C73—21no—
93#121×C73—21no—
94#121×C73—21no—
95#121×C73—21no—
96#121×C73—21no—
97#121×C73—21no—
98#121×C73—22no—
99#121×C73—21no—
100#121×C73—21no—
101#121×C73—21no—
102#121×C73—21no—
103#121×C73D412yescomplemented
104#121×C73D411yescharacteristic, complemented
105#121×C73C2312yes—
106#121×C73C2311yescharacteristic
107#120×C73—22no—
108#120×C73—22no—
109#120×C73—22no—
110#120×C73—21no—
111#120×C73—22no—
112#120×C73—22no—
113#120×C73—22no—
114C4×D4×C73—22no—
115C4×D4×C73—21no—
116C4×D4×C73—21no—
117C4×D4×C73—21no—
118C4×D4×C73—21no—
119C4×D4×C73—22no—
120#117×C73—21no—
121#117×C73D411yescharacteristic, complemented
122C2×C4⋊C4×C73D411yescharacteristic
123C2×C4⋊C4×C73D411yescharacteristic, complemented
124C2×C4⋊C4×C73C2311yescharacteristic
125C2×C22⋊C4×C73—21no—
126C2×C22⋊C4×C73—21no—
127C2×C22⋊C4×C73—21no—
128C2×C22⋊C4×C73—22no—
129C2×C22⋊C4×C73—22no—
130C2×C22⋊C4×C73C2312yes—
131#107×C73—22no—
132#107×C73—21no—
133#106×C73—21no—
134#103×C73—21no—
135#102×C73—22no—
136#102×C73—21no—
137#102×C73—22no—
138#102×C73—21no—
139#102×C73—21no—
140C22⋊C8×C73—21no—
141C22⋊C8×C73—21no—
142C22⋊C8×C73C2312yes—
143C22⋊C8×C73C2311yescharacteristic
144C22⋊C8×C73C2311yescharacteristic
145#95×C73—21no—
146#95×C73—22no—
147#95×C73C2312yes—
148C24×C73—22no—
149C24×C73—21no—
150C24×C73—21no—
151C24×C73C2×D412yes—
152C24×C73C2×D411yescharacteristic
153#41×C73—81no—
154C2×Q8×C73C2×D411yescharacteristic
155C2×D4×C73—22no—
156C2×D4×C73—21no—
157C2×D4×C73—21no—
158C2×D4×C73—22no—
159C2×D4×C73—22no—
160C2×D4×C73—22no—
161C2×D4×C73—22no—
162C2×D4×C73—22no—
163C2×D4×C73—22no—
164C2×D4×C73—21no—
165C2×D4×C73—22no—
166C2×D4×C73—22no—
167C2×D4×C73—21no—
168C2×D4×C73—21no—
169C2×D4×C73—21no—
170C2×D4×C73—21no—
171C2×D4×C73—21no—
172C2×D4×C73—41no—
173C2×D4×C73—41no—
174C2×D4×C73—81no—
175C2×D4×C73—81no—
176C2×D4×C73—82no—
177C2×D4×C73—81no—
178C2×D4×C73—82no—
179C2×D4×C73—82no—
180C2×D4×C73—82no—
181C2×D4×C73—82no—
182C2×D4×C73—82no—
183C2×D4×C73—82no—
184C2×D4×C73—82no—
185C2×D4×C73—82no—
186C2×D4×C73—84no—
187C2×D4×C73C2×D411yescharacteristic
188C2×D4×C73C2×D412yes—
189C22×C4×C73—22no—
190C22×C4×C73—22no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—22no—
194C22×C4×C73—21no—
195C22×C4×C73—81no—
196C22×C4×C73C2×D412yes—
197C22×C4×C73C2×D411yescharacteristic
198C22×C4×C73C2×D411yescharacteristic
199C22×C4×C73C2×D411yescharacteristic
200C22×C4×C73C2×D411yescharacteristic
201C22×C4×C73C2×D411yescharacteristic
202C22×C4×C73C2411yescharacteristic
203SD16×C73—81no—
204D8×C73—82no—
205D8×C73—81no—
206M16×C73—81no—
207C2×C8×C73—22no—
208C2×C8×C73—21no—
209C2×C8×C73—21no—
210C2×C8×C73—81no—
211C4⋊C4×C73—22no—
212C4⋊C4×C73—22no—
213C4⋊C4×C73—21no—
214C4⋊C4×C73—21no—
215C4⋊C4×C73—21no—
216C4⋊C4×C73—21no—
217C4⋊C4×C73—21no—
218C4⋊C4×C73—21no—
219C4⋊C4×C73—21no—
220C4⋊C4×C73C2×D411yescharacteristic
221C4⋊C4×C73C2×D412yes—
222C4⋊C4×C73C2×D411yescharacteristic
223C22⋊C4×C73—22no—
224C22⋊C4×C73—22no—
225C22⋊C4×C73—22no—
226C22⋊C4×C73—22no—
227C22⋊C4×C73—22no—
228C22⋊C4×C73—21no—
229C22⋊C4×C73—21no—
230C22⋊C4×C73—21no—
231C22⋊C4×C73—22no—
232C22⋊C4×C73—21no—
233C22⋊C4×C73—22no—
234C22⋊C4×C73—22no—
235C22⋊C4×C73—22no—
236C22⋊C4×C73—21no—
237C22⋊C4×C73—41no—
238C22⋊C4×C73—41no—
239C22⋊C4×C73—82no—
240C22⋊C4×C73—82no—
241C22⋊C4×C73—81no—
242C42×C73—22no—
243C42×C73—21no—
244C23×C73—22no—
245C23×C73—22no—
246C23×C73—22no—
247C23×C73—21no—
248C23×C73—22no—
249C23×C73—22no—
250C23×C73—41no—
251C23×C73—41no—
252C23×C73—42no—
253C23×C73—42no—
254C23×C73—42no—
255C23×C73—41no—
256C23×C73—41no—
257C23×C73—42no—
258C23×C73—41no—
259C23×C73—42no—
260C23×C73—81no—
261C23×C73—81no—
262C23×C73—82no—
263C23×C73—82no—
264C23×C73—82no—
265C23×C73#12011yescharacteristic
266C23×C73#12011yescharacteristic
267C23×C73C22×D411yescharacteristic
268Q8×C73—41no—
269D4×C73—42no—
270D4×C73—41no—
271D4×C73—42no—
272D4×C73—42no—
273D4×C73—42no—
274D4×C73—41no—
275D4×C73—41no—
276D4×C73—44no—
277D4×C73—42no—
278D4×C73—42no—
279D4×C73—42no—
280D4×C73—42no—
281D4×C73—81no—
282D4×C73—82no—
283D4×C73—82no—
284D4×C73—81no—
285D4×C73—82no—
286D4×C73—82no—
287D4×C73—82no—
288D4×C73—82no—
289D4×C73—82no—
290D4×C73—82no—
291D4×C73—82no—
292D4×C73—88no—
293C2×C4×C73—21no—
294C2×C4×C73—22no—
295C2×C4×C73—22no—
296C2×C4×C73—21no—
297C2×C4×C73—21no—
298C2×C4×C73—41no—
299C2×C4×C73—41no—
300C2×C4×C73—41no—
301C2×C4×C73—41no—
302C2×C4×C73—41no—
303C2×C4×C73—41no—
304C2×C4×C73—42no—
305C2×C4×C73—42no—
306C2×C4×C73—42no—
307C2×C4×C73—42no—
308C2×C4×C73—41no—
309C2×C4×C73—42no—
310C2×C4×C73—42no—
311C2×C4×C73—81no—
312C2×C4×C73—82no—
313C2×C4×C73—82no—
314C2×C4×C73#12011yescharacteristic
315C2×C4×C73#12011yescharacteristic
316C2×C4×C73C22×D411yescharacteristic
317C2×C4×C73C22×D411yescharacteristic
318C8×C73—42no—
319C8×C73—41no—
320C8×C73—41no—
321C22×C73—21no—
322C22×C73—21no—
323C22×C73—21no—
324C22×C73—21no—
325C22×C73—21no—
326C22×C73—21no—
327C22×C73—21no—
328C22×C73—21no—
329C22×C73—42no—
330C22×C73—42no—
331C22×C73—41no—
332C22×C73—42no—
333C22×C73—42no—
334C22×C73—41no—
335C22×C73—41no—
336C22×C73—42no—
337C22×C73—42no—
338C22×C73—82no—
339C22×C73—82no—
340C22×C73—82no—
341C22×C73—82no—
342C22×C73—82no—
343C22×C73—81no—
344C22×C73—81no—
345C22×C73—81no—
346C22×C73—162no—
347C22×C73—164no—
348C22×C73C2×#12011yescharacteristic
349C22×C73#57612yes—
350C4×C73—21no—
351C4×C73—21no—
352C4×C73—21no—
353C4×C73—21no—
354C4×C73—42no—
355C4×C73—41no—
356C4×C73—42no—
357C4×C73—41no—
358C4×C73—41no—
359C4×C73—82no—
360C4×C73—81no—
361#18450C7311yesmaximal, characteristic, direct product factor, Sylow
362C2×C73—22no—
363C2×C73—41no—
364C2×C73—41no—
365C2×C73—82no—
366C2×C73—82no—
367C2×C73—81no—
368C2×C73—161no—
369C2×C73#300811yescharacteristic
370C2×C73#301911yescharacteristic
371C2×C73#302611yescharacteristic
372#3537C2×C7311yescharacteristic, complemented
373#3194C2×C7311yescharacteristic, complemented
374#3186C2×C7311yescharacteristic, complemented
375#2815C2×C7311yescharacteristic, complemented
376#1612C2×C7312yescomplemented
377#1607C2×C7312yescomplemented
378#1600C2×C7312yescomplemented
379#1595C2×C7312yescomplemented
380#1516C2×C7311yescharacteristic, complemented
381#1510C2×C7311yescharacteristic, complemented
382#1471C2×C7311yescharacteristic, complemented
383C73#1845011yescharacteristic, direct product factor, Sylow
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C7312yes—
393#535—21no—
394#534—21no—
395#534C22×C7312yes—
396#525C22×C7311yescharacteristic
397C2×#121C22×C7311yescharacteristic
398C2×#121C22×C7311yescharacteristic
399C2×#121C22×C7311yescharacteristic, complemented
400#483C22×C7311yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C7311yescharacteristic, complemented
404#480C22×C7312yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C7311yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C7311yescharacteristic, complemented
412#447C22×C7312yescomplemented
413#407C22×C7311yescharacteristic, complemented
414C2×C22⋊C8C22×C7311yescharacteristic, complemented
415#397—21no—
416#397C22×C7312yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C7312yescomplemented
420#381C22×C7311yescharacteristic, complemented
421#328C22×C7312yescomplemented
422#327C22×C7312yescomplemented
423#327C22×C7312yescomplemented
424#327C22×C7312yescomplemented
425#323C22×C7312yescomplemented
426#323C22×C7312yescomplemented
427C2×#41D4×C7311yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C7312yes—
435C22×D4D4×C7311yescharacteristic
436C22×D4D4×C7311yescharacteristic, complemented
437C22×D4C23×C7311yescharacteristic
438C23×C4C23×C7311yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C7311yescharacteristic, complemented
456C22⋊Q8C23×C7311yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C7312yescomplemented
476#121D4×C7311yescharacteristic, complemented
477#121C23×C7312yes—
478#121C23×C7311yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C7311yescharacteristic, complemented
494C2×C4⋊C4D4×C7311yescharacteristic
495C2×C4⋊C4D4×C7311yescharacteristic, complemented
496C2×C4⋊C4C23×C7311yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C7312yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C7311yescharacteristic
515C22⋊C8C23×C7311yescharacteristic
516C22⋊C8C23×C7312yes—
517#95—21no—
518#95—22no—
519#95C23×C7312yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C7312yes—
524C24C2×D4×C7311yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C7311yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C7311yescharacteristic
560C2×D4C2×D4×C7312yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C7312yes—
569C22×C4C2×D4×C7311yescharacteristic
570C22×C4C2×D4×C7311yescharacteristic
571C22×C4C2×D4×C7311yescharacteristic
572C22×C4C2×D4×C7311yescharacteristic
573C22×C4C2×D4×C7311yescharacteristic
574C22×C4C24×C7311yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C7311yescharacteristic
593C4⋊C4C2×D4×C7312yes—
594C4⋊C4C2×D4×C7311yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C7311yescharacteristic
638C23#120×C7311yescharacteristic
639C23C22×D4×C7311yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C7311yescharacteristic
687C2×C4#120×C7311yescharacteristic
688C2×C4C22×D4×C7311yescharacteristic
689C2×C4C22×D4×C7311yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C7311yescharacteristic
721C22#576×C7312yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C73×#300811yescharacteristic
741C2C73×#301911yescharacteristic
742C2C73×#302611yescharacteristic
subgroupG/H
center, socleC22×C73C2×#120
commutator, Frattini, cosocleC22×C4C24×C73
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ C23×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3537C2semidirect
2. C73×#3194C2semidirect
3. C73×#3186C2semidirect
4. C73×#2815C2semidirect
5. C73×#1612C2semidirect
6. C73×#1607C2semidirect
7. C73×#1600C2semidirect
8. C73×#1595C2semidirect
9. C73×#1516C2semidirect
10. C73×#1510C2semidirect
11. C73×#1471C2semidirect
27. C2×#121×C73C22semidirect
28. #483×C73C22semidirect
31. #480×C73C22semidirect
32. #480×C73C22semidirect
36. #450×C73C22semidirect
39. #447×C73C22semidirect
40. #447×C73C22semidirect
41. #407×C73C22semidirect
42. C2×C22⋊C8×C73C22semidirect
44. #397×C73C22semidirect
47. #392×C73C22semidirect
48. #381×C73C22semidirect
49. #328×C73C22semidirect
50. #327×C73C22semidirect
51. #327×C73C22semidirect
52. #327×C73C22semidirect
53. #323×C73C22semidirect
54. #323×C73C22semidirect
55. C2×#41×C73D4semidirect
64. C22×D4×C73D4semidirect
83. C22⋊Q8×C73D4semidirect
103. #121×C73D4semidirect
104. #121×C73D4semidirect
121. #117×C73D4semidirect
123. C2×C4⋊C4×C73D4semidirect
361. #18450C73direct (N × H)
372. #3537C2×C73semidirect
373. #3194C2×C73semidirect
374. #3186C2×C73semidirect
375. #2815C2×C73semidirect
376. #1612C2×C73semidirect
377. #1607C2×C73semidirect
378. #1600C2×C73semidirect
379. #1595C2×C73semidirect
380. #1516C2×C73semidirect
381. #1510C2×C73semidirect
382. #1471C2×C73semidirect
383. C73#18450direct (N × H)
399. C2×#121C22×C73semidirect
400. #483C22×C73semidirect
403. #480C22×C73semidirect
404. #480C22×C73semidirect
408. #450C22×C73semidirect
411. #447C22×C73semidirect
412. #447C22×C73semidirect
413. #407C22×C73semidirect
414. C2×C22⋊C8C22×C73semidirect
416. #397C22×C73semidirect
419. #392C22×C73semidirect
420. #381C22×C73semidirect
421. #328C22×C73semidirect
422. #327C22×C73semidirect
423. #327C22×C73semidirect
424. #327C22×C73semidirect
425. #323C22×C73semidirect
426. #323C22×C73semidirect
427. C2×#41D4×C73semidirect
436. C22×D4D4×C73semidirect
455. C22⋊Q8D4×C73semidirect
475. #121D4×C73semidirect
476. #121D4×C73semidirect
493. #117D4×C73semidirect
495. C2×C4⋊C4D4×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35372
C73×#31942
C73×#31862
C73×#28152
C73×#16122
C73×#16072
C73×#16002
C73×#15952
C73×#15162
C73×#15102
C73×#14712
#1845073