Finite Group Databasebeta

← C73×#19009 #32928413

Subgroups — C73×#19009 #32928413

Order 18688.

832 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3531C211yesmaximal, characteristic
2C73×#3238C211yesmaximal, characteristic, complemented
3C73×#3218C211yesmaximal, characteristic, complemented
4C73×#3165C211yesmaximal, characteristic, complemented
5C73×#1664C212yesmaximal, complemented
6C73×#1663C212yesmaximal, complemented
7C73×#1661C212yesmaximal, complemented
8C73×#1660C212yesmaximal, complemented
9C73×#1537C211yesmaximal, characteristic, complemented
10C73×#1529C211yesmaximal, characteristic, complemented
11C73×#1529C211yesmaximal, characteristic, complemented
12#564×C73C2211yescharacteristic
13#563×C73—21no—
14#563×C73—21no—
15#563×C73—21no—
16#563×C73—21no—
17#563×C73C2211yescharacteristic
18#563×C73C2211yescharacteristic
19#562×C73—21no—
20#562×C73—21no—
21#562×C73C2211yescharacteristic
22#533×C73—21no—
23#533×C73—21no—
24#533×C73C2211yescharacteristic
25C2×C4⋊Q8×C73C2211yescharacteristic
26#529×C73—21no—
27#529×C73—21no—
28#529×C73—21no—
29#529×C73—21no—
30#529×C73C2211yescharacteristic
31#529×C73C2211yescharacteristic
32#501×C73C2212yes—
33#501×C73C2212yes—
34#501×C73C2212yes—
35#500×C73—21no—
36#498×C73—21no—
37#497×C73C2212yes—
38#491×C73C2212yes—
39#489×C73C2212yes—
40#483×C73—21no—
41#480×C73—21no—
42#477×C73—21no—
43#476×C73—21no—
44#462×C73—21no—
45#461×C73—21no—
46#451×C73—21no—
47#448×C73—21no—
48#432×C73C2211yescharacteristic
49#432×C73C2211yescharacteristic
50#428×C73—21no—
51#428×C73—21no—
52C4×M16×C73C2211yescharacteristic
53#330×C73C2212yes—
54#330×C73C2212yes—
55#330×C73C2212yes—
56#330×C73C2212yes—
57#329×C73C2212yes—
58#329×C73C2212yes—
59C22×Q8×C73—21no—
60C2×Q16×C73—22no—
61C2×SD16×C73—22no—
62C2×M16×C73—21no—
63C4⋊Q8×C73—21no—
64C4⋊Q8×C73—21no—
65C4⋊Q8×C73—21no—
66C4⋊Q8×C73—21no—
67C4⋊Q8×C73—21no—
68C4⋊Q8×C73—21no—
69C4⋊Q8×C73—21no—
70C4⋊Q8×C73D411yescharacteristic
71C4⋊Q8×C73D411yescharacteristic
72C4⋊Q8×C73C2312yes—
73#126×C73—21no—
74#126×C73—21no—
75#126×C73—21no—
76#126×C73—21no—
77#126×C73—21no—
78#126×C73—21no—
79#126×C73—21no—
80#126×C73—21no—
81#126×C73—21no—
82#126×C73—21no—
83#125×C73—21no—
84#125×C73—21no—
85#125×C73—21no—
86#125×C73—21no—
87#125×C73—21no—
88#125×C73—21no—
89#125×C73—21no—
90#125×C73—21no—
91#125×C73C2311yescharacteristic
92#125×C73C2311yescharacteristic
93#125×C73C2311yescharacteristic
94#125×C73C2311yescharacteristic
95#124×C73—21no—
96#124×C73—21no—
97#124×C73—21no—
98#124×C73—21no—
99#124×C73C2311yescharacteristic
100#124×C73C2311yescharacteristic
101#123×C73—21no—
102#123×C73—21no—
103#123×C73—21no—
104#123×C73—21no—
105#123×C73—21no—
106#123×C73—21no—
107#123×C73—21no—
108#123×C73—21no—
109#123×C73—21no—
110#123×C73—21no—
111C22⋊Q8×C73—21no—
112C22⋊Q8×C73—21no—
113C22⋊Q8×C73—21no—
114C22⋊Q8×C73—21no—
115C22⋊Q8×C73—21no—
116C22⋊Q8×C73—21no—
117C22⋊Q8×C73—21no—
118C22⋊Q8×C73—21no—
119C22⋊Q8×C73—21no—
120C22⋊Q8×C73—21no—
121C22⋊Q8×C73—21no—
122C22⋊Q8×C73—21no—
123C22⋊Q8×C73—21no—
124C22⋊Q8×C73—21no—
125C22⋊Q8×C73D411yescharacteristic
126C22⋊Q8×C73D411yescharacteristic
127#121×C73—21no—
128#121×C73—21no—
129#121×C73—21no—
130#121×C73—21no—
131#121×C73D411yescharacteristic
132#121×C73D411yescharacteristic
133C4×Q8×C73—21no—
134C4×Q8×C73—21no—
135C4×Q8×C73—21no—
136C4×Q8×C73—21no—
137C4×Q8×C73D411yescharacteristic
138C4×Q8×C73D411yescharacteristic
139C4×D4×C73—21no—
140C4×D4×C73—21no—
141C4×D4×C73—21no—
142C4×D4×C73—21no—
143C4×D4×C73D411yescharacteristic
144C4×D4×C73D411yescharacteristic
145#117×C73—21no—
146#117×C73—21no—
147#117×C73—21no—
148#117×C73—21no—
149#117×C73D411yescharacteristic
150#117×C73D411yescharacteristic
151C2×C4⋊C4×C73—21no—
152C2×C4⋊C4×C73—21no—
153C2×C42×C73—21no—
154C2×C42×C73—21no—
155C2×C42×C73C2311yescharacteristic
156#107×C73—22no—
157#107×C73—22no—
158#107×C73—22no—
159#106×C73—22no—
160#106×C73—22no—
161#106×C73—22no—
162C4⋊C8×C73—21no—
163C4⋊C8×C73—21no—
164#103×C73—22no—
165#103×C73—22no—
166#103×C73—22no—
167#102×C73—22no—
168C22⋊C8×C73—21no—
169C22⋊C8×C73—21no—
170#97×C73C2312yes—
171#97×C73C2312yes—
172#97×C73C2312yes—
173C4×C8×C73—21no—
174C2×Q8×C73—21no—
175C2×Q8×C73—21no—
176C2×Q8×C73—21no—
177C2×Q8×C73—21no—
178C2×Q8×C73—22no—
179C2×Q8×C73—41no—
180C2×Q8×C73—82no—
181C2×Q8×C73C2×D411yescharacteristic
182C2×Q8×C73C2×D411yescharacteristic
183C2×D4×C73—21no—
184C2×D4×C73—21no—
185C2×D4×C73—21no—
186C2×D4×C73—21no—
187C2×D4×C73C2×D411yescharacteristic
188C2×D4×C73C2×D411yescharacteristic
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—41no—
196C22×C4×C73C2×D411yescharacteristic
197C22×C4×C73C2×D411yescharacteristic
198C22×C4×C73C2×D411yescharacteristic
199Q16×C73—82no—
200SD16×C73—82no—
201M16×C73—24no—
202C2×C8×C73—22no—
203C2×C8×C73—22no—
204C2×C8×C73—22no—
205C4⋊C4×C73—21no—
206C4⋊C4×C73—21no—
207C4⋊C4×C73—21no—
208C4⋊C4×C73—21no—
209C4⋊C4×C73—21no—
210C4⋊C4×C73—21no—
211C4⋊C4×C73—21no—
212C4⋊C4×C73—21no—
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×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—21no—
230C4⋊C4×C73—21no—
231C4⋊C4×C73—22no—
232C4⋊C4×C73—22no—
233C4⋊C4×C73—41no—
234C4⋊C4×C73—41no—
235C4⋊C4×C73C2×D411yescharacteristic
236C4⋊C4×C73C2×D411yescharacteristic
237C4⋊C4×C73C2×D411yescharacteristic
238C4⋊C4×C73C2×D411yescharacteristic
239C4⋊C4×C73C2×D411yescharacteristic
240C4⋊C4×C73C2×D411yescharacteristic
241C4⋊C4×C73C2×D411yescharacteristic
242C4⋊C4×C73C2×D411yescharacteristic
243C22⋊C4×C73—21no—
244C22⋊C4×C73—21no—
245C22⋊C4×C73—21no—
246C22⋊C4×C73—21no—
247C22⋊C4×C73—21no—
248C22⋊C4×C73—21no—
249C22⋊C4×C73—21no—
250C22⋊C4×C73—21no—
251C22⋊C4×C73—21no—
252C22⋊C4×C73—21no—
253C22⋊C4×C73—21no—
254C22⋊C4×C73—21no—
255C22⋊C4×C73—21no—
256C22⋊C4×C73—21no—
257C22⋊C4×C73—21no—
258C22⋊C4×C73—21no—
259C22⋊C4×C73—21no—
260C22⋊C4×C73—21no—
261C22⋊C4×C73—21no—
262C22⋊C4×C73—21no—
263C42×C73—21no—
264C42×C73—21no—
265C42×C73—21no—
266C42×C73—21no—
267C42×C73—21no—
268C42×C73—21no—
269C42×C73—21no—
270C42×C73—21no—
271C42×C73C2×D411yescharacteristic
272C42×C73C2×D411yescharacteristic
273C42×C73C2×D411yescharacteristic
274C42×C73C2411yescharacteristic
275C23×C73—21no—
276C23×C73—21no—
277C23×C73#12011yescharacteristic
278Q8×C73—41no—
279Q8×C73—41no—
280Q8×C73—42no—
281Q8×C73—42no—
282Q8×C73—81no—
283Q8×C73—81no—
284Q8×C73—82no—
285Q8×C73—81no—
286Q8×C73—81no—
287D4×C73—41no—
288D4×C73—41no—
289D4×C73—81no—
290D4×C73—81no—
291D4×C73—81no—
292D4×C73—81no—
293C2×C4×C73—22no—
294C2×C4×C73—21no—
295C2×C4×C73—21no—
296C2×C4×C73—21no—
297C2×C4×C73—21no—
298C2×C4×C73—21no—
299C2×C4×C73—21no—
300C2×C4×C73—21no—
301C2×C4×C73—21no—
302C2×C4×C73—21no—
303C2×C4×C73—21no—
304C2×C4×C73—41no—
305C2×C4×C73—41no—
306C2×C4×C73—42no—
307C2×C4×C73—42no—
308C2×C4×C73—42no—
309C2×C4×C73—81no—
310C2×C4×C73—81no—
311C2×C4×C73—81no—
312C2×C4×C73—81no—
313C2×C4×C73—82no—
314C2×C4×C73#12011yescharacteristic
315C2×C4×C73#12011yescharacteristic
316C2×C4×C73#12011yescharacteristic
317C2×C4×C73C22×D411yescharacteristic
318C2×C4×C73C22×D411yescharacteristic
319C2×C4×C73C22×D411yescharacteristic
320C8×C73—24no—
321C8×C73—42no—
322C8×C73—42no—
323C22×C73—21no—
324C22×C73—21no—
325C22×C73—21no—
326C22×C73—41no—
327C22×C73—41no—
328C22×C73—41no—
329C22×C73—41no—
330C22×C73—41no—
331C22×C73—41no—
332C22×C73C2×#12011yescharacteristic
333C4×C73—21no—
334C4×C73—21no—
335C4×C73—21no—
336C4×C73—21no—
337C4×C73—21no—
338C4×C73—41no—
339C4×C73—41no—
340C4×C73—41no—
341C4×C73—41no—
342C4×C73—41no—
343C4×C73—41no—
344C4×C73—41no—
345C4×C73—41no—
346C4×C73—41no—
347C4×C73—41no—
348C4×C73—82no—
349C4×C73#45612yes—
350#19009C7311yesmaximal, characteristic, direct product factor, Sylow
351C2×C73—41no—
352C2×C73—81no—
353C2×C73—81no—
354C2×C73C2×#45611yescharacteristic
355C2×C73#302111yescharacteristic
356C2×C73#302211yescharacteristic
357#3531C2×C7311yescharacteristic
358#3238C2×C7311yescharacteristic, complemented
359#3218C2×C7311yescharacteristic, complemented
360#3165C2×C7311yescharacteristic, complemented
361#1664C2×C7312yescomplemented
362#1663C2×C7312yescomplemented
363#1661C2×C7312yescomplemented
364#1660C2×C7312yescomplemented
365#1537C2×C7311yescharacteristic, complemented
366#1529C2×C7311yescharacteristic, complemented
367#1529C2×C7311yescharacteristic, complemented
368C73#1900911yescharacteristic, direct product factor, Sylow
369#564C22×C7311yescharacteristic
370#563—21no—
371#563—21no—
372#563—21no—
373#563—21no—
374#563C22×C7311yescharacteristic
375#563C22×C7311yescharacteristic
376#562—21no—
377#562—21no—
378#562C22×C7311yescharacteristic
379#533—21no—
380#533—21no—
381#533C22×C7311yescharacteristic
382C2×C4⋊Q8C22×C7311yescharacteristic
383#529—21no—
384#529—21no—
385#529—21no—
386#529—21no—
387#529C22×C7311yescharacteristic
388#529C22×C7311yescharacteristic
389#501C22×C7312yes—
390#501C22×C7312yes—
391#501C22×C7312yes—
392#500—21no—
393#498—21no—
394#497C22×C7312yes—
395#491C22×C7312yes—
396#489C22×C7312yes—
397#483—21no—
398#480—21no—
399#477—21no—
400#476—21no—
401#462—21no—
402#461—21no—
403#451—21no—
404#448—21no—
405#432C22×C7311yescharacteristic
406#432C22×C7311yescharacteristic
407#428—21no—
408#428—21no—
409C4×M16C22×C7311yescharacteristic
410#330C22×C7312yes—
411#330C22×C7312yes—
412#330C22×C7312yes—
413#330C22×C7312yes—
414#329C22×C7312yes—
415#329C22×C7312yes—
416C22×Q8—21no—
417C2×Q16—22no—
418C2×SD16—22no—
419C2×M16—21no—
420C4⋊Q8—21no—
421C4⋊Q8—21no—
422C4⋊Q8—21no—
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425C4⋊Q8—21no—
426C4⋊Q8—21no—
427C4⋊Q8D4×C7311yescharacteristic
428C4⋊Q8D4×C7311yescharacteristic
429C4⋊Q8C23×C7312yes—
430#126—21no—
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#126—21no—
440#125—21no—
441#125—21no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125—21no—
448#125C23×C7311yescharacteristic
449#125C23×C7311yescharacteristic
450#125C23×C7311yescharacteristic
451#125C23×C7311yescharacteristic
452#124—21no—
453#124—21no—
454#124—21no—
455#124—21no—
456#124C23×C7311yescharacteristic
457#124C23×C7311yescharacteristic
458#123—21no—
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464#123—21no—
465#123—21no—
466#123—21no—
467#123—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8—21no—
482C22⋊Q8D4×C7311yescharacteristic
483C22⋊Q8D4×C7311yescharacteristic
484#121—21no—
485#121—21no—
486#121—21no—
487#121—21no—
488#121D4×C7311yescharacteristic
489#121D4×C7311yescharacteristic
490C4×Q8—21no—
491C4×Q8—21no—
492C4×Q8—21no—
493C4×Q8—21no—
494C4×Q8D4×C7311yescharacteristic
495C4×Q8D4×C7311yescharacteristic
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4D4×C7311yescharacteristic
501C4×D4D4×C7311yescharacteristic
502#117—21no—
503#117—21no—
504#117—21no—
505#117—21no—
506#117D4×C7311yescharacteristic
507#117D4×C7311yescharacteristic
508C2×C4⋊C4—21no—
509C2×C4⋊C4—21no—
510C2×C42—21no—
511C2×C42—21no—
512C2×C42C23×C7311yescharacteristic
513#107—22no—
514#107—22no—
515#107—22no—
516#106—22no—
517#106—22no—
518#106—22no—
519C4⋊C8—21no—
520C4⋊C8—21no—
521#103—22no—
522#103—22no—
523#103—22no—
524#102—22no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527#97C23×C7312yes—
528#97C23×C7312yes—
529#97C23×C7312yes—
530C4×C8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—22no—
536C2×Q8—41no—
537C2×Q8—82no—
538C2×Q8C2×D4×C7311yescharacteristic
539C2×Q8C2×D4×C7311yescharacteristic
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4C2×D4×C7311yescharacteristic
545C2×D4C2×D4×C7311yescharacteristic
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—41no—
553C22×C4C2×D4×C7311yescharacteristic
554C22×C4C2×D4×C7311yescharacteristic
555C22×C4C2×D4×C7311yescharacteristic
556Q16—82no—
557SD16—82no—
558M16—24no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4C2×D4×C7311yescharacteristic
593C4⋊C4C2×D4×C7311yescharacteristic
594C4⋊C4C2×D4×C7311yescharacteristic
595C4⋊C4C2×D4×C7311yescharacteristic
596C4⋊C4C2×D4×C7311yescharacteristic
597C4⋊C4C2×D4×C7311yescharacteristic
598C4⋊C4C2×D4×C7311yescharacteristic
599C4⋊C4C2×D4×C7311yescharacteristic
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42C2×D4×C7311yescharacteristic
629C42C2×D4×C7311yescharacteristic
630C42C2×D4×C7311yescharacteristic
631C42C24×C7311yescharacteristic
632C23—21no—
633C23—21no—
634C23#120×C7311yescharacteristic
635Q8—41no—
636Q8—41no—
637Q8—42no—
638Q8—42no—
639Q8—81no—
640Q8—81no—
641Q8—82no—
642Q8—81no—
643Q8—81no—
644D4—41no—
645D4—41no—
646D4—81no—
647D4—81no—
648D4—81no—
649D4—81no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—82no—
671C2×C4#120×C7311yescharacteristic
672C2×C4#120×C7311yescharacteristic
673C2×C4#120×C7311yescharacteristic
674C2×C4C22×D4×C7311yescharacteristic
675C2×C4C22×D4×C7311yescharacteristic
676C2×C4C22×D4×C7311yescharacteristic
677C8—24no—
678C8—42no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22C2×#120×C7311yescharacteristic
690C4—21no—
691C4—21no—
692C4—21no—
693C4—21no—
694C4—21no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—82no—
706C4#456×C7312yes—
707C2—41no—
708C2—81no—
709C2—81no—
710C2C2×#456×C7311yescharacteristic
711C2C73×#302111yescharacteristic
712C2C73×#302211yescharacteristic
subgroupG/H
center, socleC22×C73C2×#120
commutator, Frattini, cosocleC42C24×C73
prime radicalC73×#3531C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ C2×C42×C73 ◁ G

Complements

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

NH ≅ G/Ntype
2. C73×#3238C2semidirect
3. C73×#3218C2semidirect
4. C73×#3165C2semidirect
5. C73×#1664C2semidirect
6. C73×#1663C2semidirect
7. C73×#1661C2semidirect
8. C73×#1660C2semidirect
9. C73×#1537C2semidirect
10. C73×#1529C2semidirect
11. C73×#1529C2semidirect
350. #19009C73direct (N × H)
358. #3238C2×C73semidirect
359. #3218C2×C73semidirect
360. #3165C2×C73semidirect
361. #1664C2×C73semidirect
362. #1663C2×C73semidirect
363. #1661C2×C73semidirect
364. #1660C2×C73semidirect
365. #1537C2×C73semidirect
366. #1529C2×C73semidirect
367. #1529C2×C73semidirect
368. C73#19009direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#35312
C73×#32382
C73×#32182
C73×#31652
C73×#16642
C73×#16632
C73×#16612
C73×#16602
C73×#15372
C73×#15292
#1900973