Finite Group Databasebeta

← C73×#26275 #32935679

Subgroups — C73×#26275 #32935679

Order 18688.

772 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3154C211yesmaximal, characteristic
2C73×#3097C211yesmaximal, characteristic, complemented
3C73×#3096C211yesmaximal, characteristic, complemented
4C73×#2951C211yesmaximal, characteristic, complemented
5C73×#2052C211yesmaximal, characteristic, complemented
6C73×#2051C211yesmaximal, characteristic, complemented
7C73×#2038C211yesmaximal, characteristic, complemented
8C73×#2037C211yesmaximal, characteristic, complemented
9C73×#1977C211yesmaximal, characteristic, complemented
10C73×#1975C211yesmaximal, characteristic, complemented
11C73×#1973C211yesmaximal, characteristic, complemented
12C73×#1952C211yesmaximal, characteristic, complemented
13C73×#1883C211yesmaximal, characteristic, complemented
14C73×#1882C211yesmaximal, characteristic, complemented
15C73×#1773C211yesmaximal, characteristic, complemented
16C2×#137×C73C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
18C2×#135×C73C2211yescharacteristic
19C22×SD16×C73C2211yescharacteristic
20#536×C73C2211yescharacteristic
21#535×C73C2211yescharacteristic
22#520×C73C2211yescharacteristic
23#520×C73C2211yescharacteristic
24#497×C73—21no—
25#496×C73—21no—
26#495×C73—21no—
27#492×C73—21no—
28#485×C73—21no—
29#485×C73—21no—
30#484×C73—21no—
31#483×C73—21no—
32#482×C73—21no—
33#482×C73—21no—
34#481×C73—21no—
35#480×C73—21no—
36#440×C73—21no—
37#440×C73—21no—
38C4×Q16×C73—21no—
39C4×D8×C73—21no—
40C2×#108×C73C2211yescharacteristic
41C2×#108×C73C2211yescharacteristic
42#428×C73C2211yescharacteristic
43#428×C73C2211yescharacteristic
44#427×C73C2211yescharacteristic
45C2×#107×C73C2211yescharacteristic
46C2×#104×C73C2211yescharacteristic
47C2×#104×C73C2211yescharacteristic
48#419×C73C2211yescharacteristic
49#418×C73C2211yescharacteristic
50#417×C73C2211yescharacteristic
51#417×C73C2211yescharacteristic
52C2×#103×C73C2211yescharacteristic
53C2×#102×C73C2211yescharacteristic
54C2×#101×C73C2211yescharacteristic
55C2×#100×C73C2211yescharacteristic
56#408×C73C2211yescharacteristic
57#408×C73C2211yescharacteristic
58#405×C73C2211yescharacteristic
59#405×C73C2211yescharacteristic
60C2×#97×C73C2211yescharacteristic
61#391×C73C2211yescharacteristic
62#390×C73C2211yescharacteristic
63#343×C73C2211yescharacteristic
64#343×C73C2211yescharacteristic
65#339×C73C2211yescharacteristic
66#339×C73C2211yescharacteristic
67C2×#41×C73C2311yescharacteristic
68C2×#41×C73C2311yescharacteristic
69C22×Q8×C73C2311yescharacteristic
70C22×D4×C73C2311yescharacteristic
71#137×C73—22no—
72#137×C73—41no—
73AGL(1,ℤ/8)×C73—22no—
74AGL(1,ℤ/8)×C73—41no—
75#135×C73—22no—
76#135×C73—22no—
77C2×Q16×C73—21no—
78C2×Q16×C73D411yescharacteristic
79C2×SD16×C73—21no—
80C2×SD16×C73—21no—
81C2×SD16×C73—21no—
82C2×SD16×C73—21no—
83C2×SD16×C73—22no—
84C2×SD16×C73—22no—
85C2×SD16×C73D411yescharacteristic
86C2×SD16×C73D411yescharacteristic
87C2×D8×C73—21no—
88C2×D8×C73D411yescharacteristic
89C2×M16×C73C2311yescharacteristic
90C2×M16×C73C2311yescharacteristic
91C2×M16×C73C2311yescharacteristic
92C2×M16×C73C2311yescharacteristic
93C22×C8×C73C2311yescharacteristic
94C22×C8×C73C2311yescharacteristic
95C4⋊Q8×C73—21no—
96#127×C73—21no—
97#124×C73—21no—
98#124×C73—21no—
99#123×C73—41no—
100C22⋊Q8×C73—21no—
101C22⋊Q8×C73—21no—
102#121×C73—21no—
103#121×C73—21no—
104#120×C73—41no—
105C4×Q8×C73—21no—
106C4×Q8×C73—21no—
107C4×D4×C73—21no—
108C4×D4×C73—21no—
109C4×D4×C73—41no—
110C4×D4×C73—41no—
111#117×C73—21no—
112#117×C73—21no—
113#117×C73C2311yescharacteristic
114#117×C73C2311yescharacteristic
115C2×C4⋊C4×C73—21no—
116C2×C4⋊C4×C73—21no—
117C2×C4⋊C4×C73C2311yescharacteristic
118C2×C4⋊C4×C73C2311yescharacteristic
119C2×C22⋊C4×C73—41no—
120C2×C42×C73C2311yescharacteristic
121#108×C73—22no—
122#108×C73—22no—
123#107×C73—21no—
124#107×C73—21no—
125#107×C73—21no—
126#107×C73—21no—
127#107×C73D411yescharacteristic
128#107×C73D411yescharacteristic
129#106×C73—21no—
130#106×C73—21no—
131#106×C73D411yescharacteristic
132#106×C73D411yescharacteristic
133#104×C73—41no—
134#104×C73—41no—
135#103×C73—21no—
136#103×C73—21no—
137#103×C73—21no—
138#103×C73—21no—
139#103×C73—21no—
140#103×C73—21no—
141#102×C73—21no—
142#102×C73—21no—
143#102×C73—21no—
144#102×C73—21no—
145#102×C73—21no—
146#102×C73—21no—
147#101×C73—41no—
148#100×C73—41no—
149C22⋊C8×C73—21no—
150C22⋊C8×C73—21no—
151C22⋊C8×C73—21no—
152C22⋊C8×C73—21no—
153#97×C73—21no—
154#97×C73—21no—
155#97×C73—22no—
156C4×C8×C73—21no—
157C4×C8×C73—21no—
158#95×C73—41no—
159C24×C73—21no—
160#41×C73—21no—
161#41×C73—21no—
162#41×C73—21no—
163#41×C73—21no—
164#41×C73—21no—
165#41×C73—21no—
166#41×C73—21no—
167#41×C73—21no—
168C2×Q8×C73—21no—
169C2×Q8×C73—21no—
170C2×Q8×C73—21no—
171C2×Q8×C73—21no—
172C2×Q8×C73—21no—
173C2×Q8×C73—21no—
174C2×Q8×C73C2×D411yescharacteristic
175C2×Q8×C73C2×D411yescharacteristic
176C2×D4×C73—21no—
177C2×D4×C73—21no—
178C2×D4×C73—21no—
179C2×D4×C73—21no—
180C2×D4×C73—21no—
181C2×D4×C73—21no—
182C2×D4×C73—21no—
183C2×D4×C73—21no—
184C2×D4×C73—41no—
185C2×D4×C73—41no—
186C2×D4×C73C2×D411yescharacteristic
187C2×D4×C73C2×D411yescharacteristic
188C22×C4×C73—21no—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—41no—
195C22×C4×C73—41no—
196C22×C4×C73C2411yescharacteristic
197Q16×C73—22no—
198Q16×C73—42no—
199SD16×C73—22no—
200SD16×C73—22no—
201SD16×C73—42no—
202SD16×C73—42no—
203SD16×C73—42no—
204SD16×C73—42no—
205D8×C73—22no—
206D8×C73—42no—
207M16×C73—21no—
208M16×C73—21no—
209M16×C73—21no—
210M16×C73—21no—
211M16×C73—21no—
212M16×C73—21no—
213M16×C73—21no—
214M16×C73#4112yes—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C2×C8×C73—21no—
221C2×C8×C73C2×D411yescharacteristic
222C2×C8×C73C2×D411yescharacteristic
223C2×C8×C73C2×D411yescharacteristic
224C2×C8×C73C2×D411yescharacteristic
225C2×C8×C73#4112yes—
226C2×C8×C73#4112yes—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—21no—
230C4⋊C4×C73—21no—
231C4⋊C4×C73—41no—
232C4⋊C4×C73—41no—
233C4⋊C4×C73—41no—
234C4⋊C4×C73—41no—
235C4⋊C4×C73C2×D411yescharacteristic
236C4⋊C4×C73C2×D411yescharacteristic
237C4⋊C4×C73C2×D411yescharacteristic
238C4⋊C4×C73C2×D411yescharacteristic
239C22⋊C4×C73—21no—
240C22⋊C4×C73—21no—
241C22⋊C4×C73—41no—
242C22⋊C4×C73—41no—
243C22⋊C4×C73—41no—
244C22⋊C4×C73—41no—
245C22⋊C4×C73—41no—
246C22⋊C4×C73—41no—
247C22⋊C4×C73—82no—
248C42×C73—21no—
249C42×C73—21no—
250C42×C73—21no—
251C42×C73—21no—
252C42×C73—41no—
253C42×C73—41no—
254C23×C73—21no—
255C23×C73—21no—
256C23×C73—41no—
257C23×C73—41no—
258C23×C73—41no—
259C23×C73—81no—
260C23×C73—81no—
261C23×C73H(5,𝔽2)11yescharacteristic
262Q8×C73—21no—
263Q8×C73—21no—
264Q8×C73—21no—
265Q8×C73—21no—
266Q8×C73—41no—
267Q8×C73—41no—
268Q8×C73—41no—
269Q8×C73—41no—
270D4×C73—21no—
271D4×C73—21no—
272D4×C73—21no—
273D4×C73—21no—
274D4×C73—41no—
275D4×C73—41no—
276D4×C73—41no—
277D4×C73—41no—
278D4×C73—41no—
279D4×C73—41no—
280D4×C73—41no—
281D4×C73—41no—
282D4×C73—161no—
283D4×C73—161no—
284C2×C4×C73—21no—
285C2×C4×C73—21no—
286C2×C4×C73—21no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—21no—
290C2×C4×C73—41no—
291C2×C4×C73—41no—
292C2×C4×C73—41no—
293C2×C4×C73—41no—
294C2×C4×C73—41no—
295C2×C4×C73—41no—
296C2×C4×C73—41no—
297C2×C4×C73—41no—
298C2×C4×C73—41no—
299C2×C4×C73—41no—
300C2×C4×C73—41no—
301C2×C4×C73—41no—
302C2×C4×C73—81no—
303C2×C4×C73—81no—
304C2×C4×C73—161no—
305C2×C4×C73—161no—
306C2×C4×C73C22×D411yescharacteristic
307C2×C4×C73C22×D411yescharacteristic
308C2×C4×C73C2×#4111yescharacteristic
309C2×C4×C73C2×#4111yescharacteristic
310C2×C4×C73C2×#4111yescharacteristic
311C2×C4×C73H(5,𝔽2)11yescharacteristic
312C8×C73—21no—
313C8×C73—21no—
314C8×C73—22no—
315C8×C73—41no—
316C8×C73—41no—
317C8×C73—41no—
318C8×C73#12312yes—
319C8×C73#12312yes—
320C22×C73—21no—
321C22×C73—21no—
322C22×C73—41no—
323C22×C73—41no—
324C22×C73—41no—
325C22×C73—41no—
326C22×C73—41no—
327C22×C73—41no—
328C22×C73—82no—
329C22×C73—81no—
330C22×C73—81no—
331C22×C73—81no—
332C22×C73—161no—
333C22×C73#54011yescharacteristic
334C22×C73D4211yescharacteristic
335C22×C73#55911yescharacteristic
336C4×C73—41no—
337C4×C73—41no—
338C4×C73—41no—
339C4×C73—41no—
340C4×C73—41no—
341C4×C73—41no—
342C4×C73—81no—
343C4×C73—81no—
344C4×C73—81no—
345C4×C73—81no—
346C4×C73C2×#12311yescharacteristic
347C4×C73#53211yescharacteristic
348C4×C73#54611yescharacteristic
349C4×C73#55011yescharacteristic
350#26275C7311yesmaximal, characteristic, direct product factor, Sylow
351C2×C73—21no—
352C2×C73—21no—
353C2×C73—81no—
354C2×C73—81no—
355C2×C73—161no—
356C2×C73#244511yescharacteristic
357C2×C73#328811yescharacteristic
358C2×C73#328911yescharacteristic
359#3154C2×C7311yescharacteristic
360#3097C2×C7311yescharacteristic, complemented
361#3096C2×C7311yescharacteristic, complemented
362#2951C2×C7311yescharacteristic, complemented
363#2052C2×C7311yescharacteristic, complemented
364#2051C2×C7311yescharacteristic, complemented
365#2038C2×C7311yescharacteristic, complemented
366#2037C2×C7311yescharacteristic, complemented
367#1977C2×C7311yescharacteristic, complemented
368#1975C2×C7311yescharacteristic, complemented
369#1973C2×C7311yescharacteristic, complemented
370#1952C2×C7311yescharacteristic, complemented
371#1883C2×C7311yescharacteristic, complemented
372#1882C2×C7311yescharacteristic, complemented
373#1773C2×C7311yescharacteristic, complemented
374C73#2627511yescharacteristic, direct product factor, Sylow
375C2×#137C22×C7311yescharacteristic
376C2×AGL(1,ℤ/8)C22×C7311yescharacteristic
377C2×#135C22×C7311yescharacteristic
378C22×SD16C22×C7311yescharacteristic
379#536C22×C7311yescharacteristic
380#535C22×C7311yescharacteristic
381#520C22×C7311yescharacteristic
382#520C22×C7311yescharacteristic
383#497—21no—
384#496—21no—
385#495—21no—
386#492—21no—
387#485—21no—
388#485—21no—
389#484—21no—
390#483—21no—
391#482—21no—
392#482—21no—
393#481—21no—
394#480—21no—
395#440—21no—
396#440—21no—
397C4×Q16—21no—
398C4×D8—21no—
399C2×#108C22×C7311yescharacteristic
400C2×#108C22×C7311yescharacteristic
401#428C22×C7311yescharacteristic
402#428C22×C7311yescharacteristic
403#427C22×C7311yescharacteristic
404C2×#107C22×C7311yescharacteristic
405C2×#104C22×C7311yescharacteristic
406C2×#104C22×C7311yescharacteristic
407#419C22×C7311yescharacteristic
408#418C22×C7311yescharacteristic
409#417C22×C7311yescharacteristic
410#417C22×C7311yescharacteristic
411C2×#103C22×C7311yescharacteristic
412C2×#102C22×C7311yescharacteristic
413C2×#101C22×C7311yescharacteristic
414C2×#100C22×C7311yescharacteristic
415#408C22×C7311yescharacteristic
416#408C22×C7311yescharacteristic
417#405C22×C7311yescharacteristic
418#405C22×C7311yescharacteristic
419C2×#97C22×C7311yescharacteristic
420#391C22×C7311yescharacteristic
421#390C22×C7311yescharacteristic
422#343C22×C7311yescharacteristic
423#343C22×C7311yescharacteristic
424#339C22×C7311yescharacteristic
425#339C22×C7311yescharacteristic
426C2×#41C23×C7311yescharacteristic
427C2×#41C23×C7311yescharacteristic
428C22×Q8C23×C7311yescharacteristic
429C22×D4C23×C7311yescharacteristic
430#137—22no—
431#137—41no—
432AGL(1,ℤ/8)—22no—
433AGL(1,ℤ/8)—41no—
434#135—22no—
435#135—22no—
436C2×Q16—21no—
437C2×Q16D4×C7311yescharacteristic
438C2×SD16—21no—
439C2×SD16—21no—
440C2×SD16—21no—
441C2×SD16—21no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16D4×C7311yescharacteristic
445C2×SD16D4×C7311yescharacteristic
446C2×D8—21no—
447C2×D8D4×C7311yescharacteristic
448C2×M16C23×C7311yescharacteristic
449C2×M16C23×C7311yescharacteristic
450C2×M16C23×C7311yescharacteristic
451C2×M16C23×C7311yescharacteristic
452C22×C8C23×C7311yescharacteristic
453C22×C8C23×C7311yescharacteristic
454C4⋊Q8—21no—
455#127—21no—
456#124—21no—
457#124—21no—
458#123—41no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461#121—21no—
462#121—21no—
463#120—41no—
464C4×Q8—21no—
465C4×Q8—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—41no—
469C4×D4—41no—
470#117—21no—
471#117—21no—
472#117C23×C7311yescharacteristic
473#117C23×C7311yescharacteristic
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4C23×C7311yescharacteristic
477C2×C4⋊C4C23×C7311yescharacteristic
478C2×C22⋊C4—41no—
479C2×C42C23×C7311yescharacteristic
480#108—22no—
481#108—22no—
482#107—21no—
483#107—21no—
484#107—21no—
485#107—21no—
486#107D4×C7311yescharacteristic
487#107D4×C7311yescharacteristic
488#106—21no—
489#106—21no—
490#106D4×C7311yescharacteristic
491#106D4×C7311yescharacteristic
492#104—41no—
493#104—41no—
494#103—21no—
495#103—21no—
496#103—21no—
497#103—21no—
498#103—21no—
499#103—21no—
500#102—21no—
501#102—21no—
502#102—21no—
503#102—21no—
504#102—21no—
505#102—21no—
506#101—41no—
507#100—41no—
508C22⋊C8—21no—
509C22⋊C8—21no—
510C22⋊C8—21no—
511C22⋊C8—21no—
512#97—21no—
513#97—21no—
514#97—22no—
515C4×C8—21no—
516C4×C8—21no—
517#95—41no—
518C24—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8C2×D4×C7311yescharacteristic
534C2×Q8C2×D4×C7311yescharacteristic
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—41no—
544C2×D4—41no—
545C2×D4C2×D4×C7311yescharacteristic
546C2×D4C2×D4×C7311yescharacteristic
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4C24×C7311yescharacteristic
556Q16—22no—
557Q16—42no—
558SD16—22no—
559SD16—22no—
560SD16—42no—
561SD16—42no—
562SD16—42no—
563SD16—42no—
564D8—22no—
565D8—42no—
566M16—21no—
567M16—21no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16—21no—
572M16—21no—
573M16#41×C7312yes—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8C2×D4×C7311yescharacteristic
581C2×C8C2×D4×C7311yescharacteristic
582C2×C8C2×D4×C7311yescharacteristic
583C2×C8C2×D4×C7311yescharacteristic
584C2×C8#41×C7312yes—
585C2×C8#41×C7312yes—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—41no—
593C4⋊C4—41no—
594C4⋊C4C2×D4×C7311yescharacteristic
595C4⋊C4C2×D4×C7311yescharacteristic
596C4⋊C4C2×D4×C7311yescharacteristic
597C4⋊C4C2×D4×C7311yescharacteristic
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—41no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—41no—
604C22⋊C4—41no—
605C22⋊C4—41no—
606C22⋊C4—82no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—21no—
611C42—41no—
612C42—41no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—81no—
619C23—81no—
620C23H(5,𝔽2)×C7311yescharacteristic
621Q8—21no—
622Q8—21no—
623Q8—21no—
624Q8—21no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629D4—21no—
630D4—21no—
631D4—21no—
632D4—21no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—41no—
641D4—161no—
642D4—161no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—161no—
664C2×C4—161no—
665C2×C4C22×D4×C7311yescharacteristic
666C2×C4C22×D4×C7311yescharacteristic
667C2×C4C2×#41×C7311yescharacteristic
668C2×C4C2×#41×C7311yescharacteristic
669C2×C4C2×#41×C7311yescharacteristic
670C2×C4H(5,𝔽2)×C7311yescharacteristic
671C8—21no—
672C8—21no—
673C8—22no—
674C8—41no—
675C8—41no—
676C8—41no—
677C8#123×C7312yes—
678C8#123×C7312yes—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—82no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—161no—
692C22#540×C7311yescharacteristic
693C22D42×C7311yescharacteristic
694C22#559×C7311yescharacteristic
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4C2×#123×C7311yescharacteristic
706C4#532×C7311yescharacteristic
707C4#546×C7311yescharacteristic
708C4#550×C7311yescharacteristic
709C2—21no—
710C2—21no—
711C2—81no—
712C2—81no—
713C2—161no—
714C2C73×#244511yescharacteristic
715C2C73×#328811yescharacteristic
716C2C73×#328911yescharacteristic
subgroupG/H
center, socleC22×C73D42
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC73×#3154C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
2. C73×#3097C2semidirect
3. C73×#3096C2semidirect
4. C73×#2951C2semidirect
5. C73×#2052C2semidirect
6. C73×#2051C2semidirect
7. C73×#2038C2semidirect
8. C73×#2037C2semidirect
9. C73×#1977C2semidirect
10. C73×#1975C2semidirect
11. C73×#1973C2semidirect
12. C73×#1952C2semidirect
13. C73×#1883C2semidirect
14. C73×#1882C2semidirect
15. C73×#1773C2semidirect
350. #26275C73direct (N × H)
360. #3097C2×C73semidirect
361. #3096C2×C73semidirect
362. #2951C2×C73semidirect
363. #2052C2×C73semidirect
364. #2051C2×C73semidirect
365. #2038C2×C73semidirect
366. #2037C2×C73semidirect
367. #1977C2×C73semidirect
368. #1975C2×C73semidirect
369. #1973C2×C73semidirect
370. #1952C2×C73semidirect
371. #1883C2×C73semidirect
372. #1882C2×C73semidirect
373. #1773C2×C73semidirect
374. C73#26275direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#31542
C73×#30972
C73×#30962
C73×#29512
C73×#20522
C73×#20512
C73×#20382
C73×#20372
C73×#19772
C73×#19752
C73×#19732
C73×#19522
C73×#18832
C73×#18822
C73×#17732
#2627573