Finite Group Databasebeta

← C73×#25199 #32934603

Subgroups — C73×#25199 #32934603

Order 18688.

990 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3069C211yesmaximal, characteristic, complemented
2C73×#3069C211yesmaximal, characteristic, complemented
3C73×#3019C211yesmaximal, characteristic
4C2×#455×C73C211yesmaximal, characteristic, complemented
5C73×#2956C211yesmaximal, characteristic, complemented
6C73×#2888C211yesmaximal, characteristic, complemented
7C73×#2069C211yesmaximal, characteristic, complemented
8C73×#2050C211yesmaximal, characteristic, complemented
9C73×#2049C211yesmaximal, characteristic, complemented
10C73×#2004C211yesmaximal, characteristic, complemented
11C73×#1967C211yesmaximal, characteristic, complemented
12C73×#1932C211yesmaximal, characteristic, complemented
13C73×#1914C211yesmaximal, characteristic, complemented
14C73×#1902C211yesmaximal, characteristic, complemented
15C73×#1861C211yesmaximal, characteristic, complemented
16C2×H(5,𝔽2)×C73C2211yescharacteristic
17#575×C73C2211yescharacteristic
18#575×C73C2211yescharacteristic
19C2×#137×C73C2211yescharacteristic
20C2×#137×C73C2211yescharacteristic
21C2×#137×C73C2211yescharacteristic, complemented
22#568×C73C2211yescharacteristic
23#568×C73C2211yescharacteristic
24#568×C73C2211yescharacteristic, complemented
25#535×C73C2211yescharacteristic
26C2×#124×C73C2211yescharacteristic
27#473×C73—22no—
28#473×C73—22no—
29#471×C73—22no—
30#471×C73—22no—
31#455×C73—22no—
32#455×C73—22no—
33#455×C73—22no—
34#453×C73—22no—
35#444×C73—22no—
36#443×C73—22no—
37#430×C73C2211yescharacteristic, complemented
38#430×C73C2211yescharacteristic, complemented
39#430×C73C2211yescharacteristic, complemented
40#423×C73C2211yescharacteristic, complemented
41#421×C73C2211yescharacteristic
42#421×C73C2211yescharacteristic
43C2×#104×C73C2211yescharacteristic
44C2×#104×C73C2211yescharacteristic
45C2×#104×C73C2211yescharacteristic, complemented
46#419×C73C2211yescharacteristic, complemented
47#413×C73—22no—
48#413×C73C2211yescharacteristic
49#413×C73C2211yescharacteristic
50#413×C73C2211yescharacteristic, complemented
51C2×#101×C73C2211yescharacteristic, complemented
52C2×#101×C73C2211yescharacteristic, complemented
53C2×#100×C73—22no—
54C2×#100×C73C2211yescharacteristic
55C2×#100×C73C2211yescharacteristic
56C2×#100×C73C2211yescharacteristic
57C2×#100×C73C2211yescharacteristic
58C4×M16×C73C2211yescharacteristic, complemented
59#344×C73C2211yescharacteristic, complemented
60#344×C73C2211yescharacteristic, complemented
61#339×C73C2211yescharacteristic, complemented
62#338×C73C2211yescharacteristic, complemented
63H(5,𝔽2)×C73—22no—
64H(5,𝔽2)×C73—22no—
65H(5,𝔽2)×C73—41no—
66H(5,𝔽2)×C73—41no—
67C2×#41×C73—21no—
68C2×#41×C73—21no—
69C2×#41×C73C2311yescharacteristic
70C2×#41×C73C2311yescharacteristic
71C2×#41×C73C2311yescharacteristic
72C22×Q8×C73C2311yescharacteristic
73C22×D4×C73—22no—
74C22×D4×C73—21no—
75C22×D4×C73—21no—
76C22×D4×C73C2311yescharacteristic
77#137×C73—21no—
78#137×C73—22no—
79#137×C73—22no—
80#137×C73—21no—
81#137×C73—21no—
82#137×C73—22no—
83#137×C73—22no—
84#137×C73—41no—
85#137×C73—41no—
86#137×C73D412yes—
87AGL(1,ℤ/8)×C73—21no—
88AGL(1,ℤ/8)×C73—21no—
89AGL(1,ℤ/8)×C73—21no—
90AGL(1,ℤ/8)×C73D412yes—
91#135×C73—22no—
92#135×C73—41no—
93C2×Q16×C73—21no—
94C2×Q16×C73—21no—
95C2×Q16×C73—21no—
96C2×SD16×C73—21no—
97C2×SD16×C73—21no—
98C2×SD16×C73—21no—
99#131×C73—22no—
100#131×C73—22no—
101#131×C73—22no—
102#131×C73—22no—
103#131×C73—41no—
104#131×C73—41no—
105C2×M16×C73—22no—
106C2×M16×C73—22no—
107C2×M16×C73—41no—
108C2×M16×C73C2311yescharacteristic
109C2×M16×C73C2311yescharacteristic
110C2×M16×C73C2311yescharacteristic
111C2×M16×C73C2311yescharacteristic
112C2×M16×C73C2311yescharacteristic
113C2×M16×C73C2311yescharacteristic
114C2×M16×C73C2311yescharacteristic
115C2×M16×C73C2311yescharacteristic
116#127×C73—21no—
117#124×C73—21no—
118#124×C73—21no—
119#124×C73—21no—
120#124×C73—41no—
121#121×C73—41no—
122#120×C73—22no—
123#117×C73C2311yescharacteristic
124C2×C22⋊C4×C73—22no—
125C2×C42×C73C2311yescharacteristic
126#108×C73—22no—
127#108×C73—22no—
128#108×C73—22no—
129C4⋊C8×C73—41no—
130#104×C73—22no—
131#104×C73—22no—
132#104×C73—21no—
133#104×C73—21no—
134#104×C73—21no—
135#104×C73—21no—
136#104×C73D412yescomplemented
137#104×C73D412yescomplemented
138#103×C73—41no—
139#101×C73—21no—
140#101×C73—21no—
141#101×C73—22no—
142#101×C73—22no—
143#101×C73D412yescomplemented
144#100×C73—21no—
145#100×C73—21no—
146#100×C73—22no—
147#100×C73—22no—
148#100×C73—22no—
149#100×C73—22no—
150#100×C73D412yescomplemented
151#97×C73—21no—
152C4×C8×C73—21no—
153C24×C73—22no—
154C24×C73#4112yes—
155#41×C73—21no—
156#41×C73—21no—
157#41×C73—21no—
158#41×C73—21no—
159#41×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—42no—
166#41×C73—42no—
167#41×C73—42no—
168#41×C73—42no—
169#41×C73C2×D412yes—
170#41×C73C2×D412yes—
171C2×Q8×C73—21no—
172C2×Q8×C73—21no—
173C2×Q8×C73—21no—
174C2×Q8×C73—21no—
175C2×Q8×C73—21no—
176C2×Q8×C73—21no—
177C2×Q8×C73C2×D411yescharacteristic
178C2×Q8×C73C2×D411yescharacteristic
179C2×Q8×C73#4111yescharacteristic
180C2×D4×C73—21no—
181C2×D4×C73—22no—
182C2×D4×C73—22no—
183C2×D4×C73—21no—
184C2×D4×C73—21no—
185C2×D4×C73—21no—
186C2×D4×C73—21no—
187C2×D4×C73—21no—
188C2×D4×C73—21no—
189C2×D4×C73—21no—
190C2×D4×C73—21no—
191C2×D4×C73—42no—
192C2×D4×C73—42no—
193C2×D4×C73—44no—
194C2×D4×C73—44no—
195C2×D4×C73—42no—
196C2×D4×C73—42no—
197C2×D4×C73—42no—
198C2×D4×C73C2×D411yescharacteristic
199C2×D4×C73C2×D411yescharacteristic
200C2×D4×C73#4111yescharacteristic
201C22×C4×C73—21no—
202C22×C4×C73—22no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73C2411yescharacteristic
208Q16×C73—22no—
209Q16×C73—42no—
210Q16×C73—42no—
211Q16×C73—41no—
212Q16×C73—42no—
213SD16×C73—22no—
214SD16×C73—22no—
215SD16×C73—42no—
216SD16×C73—42no—
217SD16×C73—41no—
218SD16×C73—41no—
219SD16×C73—42no—
220D8×C73—22no—
221D8×C73—41no—
222M16×C73—21no—
223M16×C73—21no—
224M16×C73—21no—
225M16×C73—21no—
226M16×C73—21no—
227M16×C73—21no—
228M16×C73—21no—
229M16×C73—21no—
230M16×C73—21no—
231M16×C73—21no—
232M16×C73—21no—
233M16×C73—21no—
234M16×C73—42no—
235M16×C73—42no—
236M16×C73—42no—
237M16×C73C2×D412yes—
238M16×C73C2×D412yes—
239M16×C73C2×D412yes—
240M16×C73C2×D412yes—
241C2×C8×C73—21no—
242C2×C8×C73—21no—
243C2×C8×C73—21no—
244C2×C8×C73—21no—
245C2×C8×C73—21no—
246C2×C8×C73—21no—
247C2×C8×C73—21no—
248C2×C8×C73—21no—
249C2×C8×C73—42no—
250C2×C8×C73—42no—
251C2×C8×C73—42no—
252C4⋊C4×C73—21no—
253C22⋊C4×C73—21no—
254C22⋊C4×C73—42no—
255C22⋊C4×C73—42no—
256C22⋊C4×C73—42no—
257C42×C73—21no—
258C42×C73—21no—
259C42×C73C2×D411yescharacteristic
260C42×C73C2×D411yescharacteristic
261C23×C73—21no—
262C23×C73—22no—
263C23×C73—21no—
264C23×C73—22no—
265C23×C73—22no—
266C23×C73—21no—
267C23×C73—44no—
268C23×C73—82no—
269C23×C73—162no—
270C23×C73C2×#4111yescharacteristic
271Q8×C73—21no—
272Q8×C73—21no—
273Q8×C73—21no—
274Q8×C73—21no—
275Q8×C73—21no—
276Q8×C73—41no—
277Q8×C73—41no—
278Q8×C73—41no—
279Q8×C73—41no—
280Q8×C73#12112yes—
281D4×C73—22no—
282D4×C73—22no—
283D4×C73—21no—
284D4×C73—21no—
285D4×C73—21no—
286D4×C73—21no—
287D4×C73—21no—
288D4×C73—44no—
289D4×C73—44no—
290D4×C73—41no—
291D4×C73—41no—
292D4×C73—41no—
293D4×C73—41no—
294D4×C73—41no—
295D4×C73—41no—
296D4×C73—41no—
297D4×C73—41no—
298D4×C73—162no—
299D4×C73#12112yes—
300C2×C4×C73—21no—
301C2×C4×C73—22no—
302C2×C4×C73—22no—
303C2×C4×C73—21no—
304C2×C4×C73—21no—
305C2×C4×C73—21no—
306C2×C4×C73—21no—
307C2×C4×C73—44no—
308C2×C4×C73—41no—
309C2×C4×C73—41no—
310C2×C4×C73—41no—
311C2×C4×C73—41no—
312C2×C4×C73—41no—
313C2×C4×C73—41no—
314C2×C4×C73—41no—
315C2×C4×C73—41no—
316C2×C4×C73—81no—
317C2×C4×C73C22×D411yescharacteristic
318C2×C4×C73C22×D411yescharacteristic
319C2×C4×C73C22×D411yescharacteristic
320C2×C4×C73C2×#4111yescharacteristic
321C2×C4×C73H(5,𝔽2)11yescharacteristic
322C2×C4×C73H(5,𝔽2)11yescharacteristic
323C8×C73—22no—
324C8×C73—22no—
325C8×C73—22no—
326C8×C73—22no—
327C8×C73—41no—
328C8×C73—41no—
329C8×C73—41no—
330C8×C73—41no—
331C22×C73—22no—
332C22×C73—41no—
333C22×C73—41no—
334C22×C73—41no—
335C22×C73—42no—
336C22×C73—81no—
337C22×C73—81no—
338C22×C73—82no—
339C22×C73—82no—
340C22×C73—82no—
341C22×C73—81no—
342C22×C73—164no—
343C22×C73#52511yescharacteristic
344C22×C73#54611yescharacteristic
345C22×C73#54611yescharacteristic
346C4×C73—22no—
347C4×C73—41no—
348C4×C73—41no—
349C4×C73—41no—
350C4×C73—41no—
351C4×C73—81no—
352C4×C73—81no—
353C4×C73C2×#12111yescharacteristic
354C4×C73#53811yescharacteristic
355C4×C73D4211yescharacteristic
356C4×C73D4211yescharacteristic
357#25199C7311yesmaximal, characteristic, direct product factor, Sylow
358C2×C73—21no—
359C2×C73—21no—
360C2×C73—21no—
361C2×C73—42no—
362C2×C73—81no—
363C2×C73—82no—
364C2×C73—81no—
365C2×C73#242411yescharacteristic
366#3069C2×C7311yescharacteristic, complemented
367#3069C2×C7311yescharacteristic, complemented
368#3019C2×C7311yescharacteristic
369C2×#455C2×C7311yescharacteristic, complemented
370#2956C2×C7311yescharacteristic, complemented
371#2888C2×C7311yescharacteristic, complemented
372#2069C2×C7311yescharacteristic, complemented
373#2050C2×C7311yescharacteristic, complemented
374#2049C2×C7311yescharacteristic, complemented
375#2004C2×C7311yescharacteristic, complemented
376#1967C2×C7311yescharacteristic, complemented
377#1932C2×C7311yescharacteristic, complemented
378#1914C2×C7311yescharacteristic, complemented
379#1902C2×C7311yescharacteristic, complemented
380#1861C2×C7311yescharacteristic, complemented
381C73#2519911yescharacteristic, direct product factor, Sylow
382C2×H(5,𝔽2)C22×C7311yescharacteristic
383#575C22×C7311yescharacteristic
384#575C22×C7311yescharacteristic
385C2×#137C22×C7311yescharacteristic
386C2×#137C22×C7311yescharacteristic
387C2×#137C22×C7311yescharacteristic, complemented
388#568C22×C7311yescharacteristic
389#568C22×C7311yescharacteristic
390#568C22×C7311yescharacteristic, complemented
391#535C22×C7311yescharacteristic
392C2×#124C22×C7311yescharacteristic
393#473—22no—
394#473—22no—
395#471—22no—
396#471—22no—
397#455—22no—
398#455—22no—
399#455—22no—
400#453—22no—
401#444—22no—
402#443—22no—
403#430C22×C7311yescharacteristic, complemented
404#430C22×C7311yescharacteristic, complemented
405#430C22×C7311yescharacteristic, complemented
406#423C22×C7311yescharacteristic, complemented
407#421C22×C7311yescharacteristic
408#421C22×C7311yescharacteristic
409C2×#104C22×C7311yescharacteristic
410C2×#104C22×C7311yescharacteristic
411C2×#104C22×C7311yescharacteristic, complemented
412#419C22×C7311yescharacteristic, complemented
413#413—22no—
414#413C22×C7311yescharacteristic
415#413C22×C7311yescharacteristic
416#413C22×C7311yescharacteristic, complemented
417C2×#101C22×C7311yescharacteristic, complemented
418C2×#101C22×C7311yescharacteristic, complemented
419C2×#100—22no—
420C2×#100C22×C7311yescharacteristic
421C2×#100C22×C7311yescharacteristic
422C2×#100C22×C7311yescharacteristic
423C2×#100C22×C7311yescharacteristic
424C4×M16C22×C7311yescharacteristic, complemented
425#344C22×C7311yescharacteristic, complemented
426#344C22×C7311yescharacteristic, complemented
427#339C22×C7311yescharacteristic, complemented
428#338C22×C7311yescharacteristic, complemented
429H(5,𝔽2)—22no—
430H(5,𝔽2)—22no—
431H(5,𝔽2)—41no—
432H(5,𝔽2)—41no—
433C2×#41—21no—
434C2×#41—21no—
435C2×#41C23×C7311yescharacteristic
436C2×#41C23×C7311yescharacteristic
437C2×#41C23×C7311yescharacteristic
438C22×Q8C23×C7311yescharacteristic
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4C23×C7311yescharacteristic
443#137—21no—
444#137—22no—
445#137—22no—
446#137—21no—
447#137—21no—
448#137—22no—
449#137—22no—
450#137—41no—
451#137—41no—
452#137D4×C7312yes—
453AGL(1,ℤ/8)—21no—
454AGL(1,ℤ/8)—21no—
455AGL(1,ℤ/8)—21no—
456AGL(1,ℤ/8)D4×C7312yes—
457#135—22no—
458#135—41no—
459C2×Q16—21no—
460C2×Q16—21no—
461C2×Q16—21no—
462C2×SD16—21no—
463C2×SD16—21no—
464C2×SD16—21no—
465#131—22no—
466#131—22no—
467#131—22no—
468#131—22no—
469#131—41no—
470#131—41no—
471C2×M16—22no—
472C2×M16—22no—
473C2×M16—41no—
474C2×M16C23×C7311yescharacteristic
475C2×M16C23×C7311yescharacteristic
476C2×M16C23×C7311yescharacteristic
477C2×M16C23×C7311yescharacteristic
478C2×M16C23×C7311yescharacteristic
479C2×M16C23×C7311yescharacteristic
480C2×M16C23×C7311yescharacteristic
481C2×M16C23×C7311yescharacteristic
482#127—21no—
483#124—21no—
484#124—21no—
485#124—21no—
486#124—41no—
487#121—41no—
488#120—22no—
489#117C23×C7311yescharacteristic
490C2×C22⋊C4—22no—
491C2×C42C23×C7311yescharacteristic
492#108—22no—
493#108—22no—
494#108—22no—
495C4⋊C8—41no—
496#104—22no—
497#104—22no—
498#104—21no—
499#104—21no—
500#104—21no—
501#104—21no—
502#104D4×C7312yescomplemented
503#104D4×C7312yescomplemented
504#103—41no—
505#101—21no—
506#101—21no—
507#101—22no—
508#101—22no—
509#101D4×C7312yescomplemented
510#100—21no—
511#100—21no—
512#100—22no—
513#100—22no—
514#100—22no—
515#100—22no—
516#100D4×C7312yescomplemented
517#97—21no—
518C4×C8—21no—
519C24—22no—
520C24#41×C7312yes—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—21no—
528#41—21no—
529#41—21no—
530#41—21no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—42no—
535#41C2×D4×C7312yes—
536#41C2×D4×C7312yes—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8C2×D4×C7311yescharacteristic
544C2×Q8C2×D4×C7311yescharacteristic
545C2×Q8#41×C7311yescharacteristic
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—44no—
560C2×D4—44no—
561C2×D4—42no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4C2×D4×C7311yescharacteristic
565C2×D4C2×D4×C7311yescharacteristic
566C2×D4#41×C7311yescharacteristic
567C22×C4—21no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4C24×C7311yescharacteristic
574Q16—22no—
575Q16—42no—
576Q16—42no—
577Q16—41no—
578Q16—42no—
579SD16—22no—
580SD16—22no—
581SD16—42no—
582SD16—42no—
583SD16—41no—
584SD16—41no—
585SD16—42no—
586D8—22no—
587D8—41no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—42no—
601M16—42no—
602M16—42no—
603M16C2×D4×C7312yes—
604M16C2×D4×C7312yes—
605M16C2×D4×C7312yes—
606M16C2×D4×C7312yes—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—42no—
616C2×C8—42no—
617C2×C8—42no—
618C4⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—42no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C42—21no—
624C42—21no—
625C42C2×D4×C7311yescharacteristic
626C42C2×D4×C7311yescharacteristic
627C23—21no—
628C23—22no—
629C23—21no—
630C23—22no—
631C23—22no—
632C23—21no—
633C23—44no—
634C23—82no—
635C23—162no—
636C23C2×#41×C7311yescharacteristic
637Q8—21no—
638Q8—21no—
639Q8—21no—
640Q8—21no—
641Q8—21no—
642Q8—41no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8#121×C7312yes—
647D4—22no—
648D4—22no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—21no—
653D4—21no—
654D4—44no—
655D4—44no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—41no—
664D4—162no—
665D4#121×C7312yes—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4C22×D4×C7311yescharacteristic
684C2×C4C22×D4×C7311yescharacteristic
685C2×C4C22×D4×C7311yescharacteristic
686C2×C4C2×#41×C7311yescharacteristic
687C2×C4H(5,𝔽2)×C7311yescharacteristic
688C2×C4H(5,𝔽2)×C7311yescharacteristic
689C8—22no—
690C8—22no—
691C8—22no—
692C8—22no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—41no—
697C22—22no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—42no—
702C22—81no—
703C22—81no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—81no—
708C22—164no—
709C22#525×C7311yescharacteristic
710C22#546×C7311yescharacteristic
711C22#546×C7311yescharacteristic
712C4—22no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—81no—
718C4—81no—
719C4C2×#121×C7311yescharacteristic
720C4#538×C7311yescharacteristic
721C4D42×C7311yescharacteristic
722C4D42×C7311yescharacteristic
723C2—21no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—82no—
728C2—81no—
729C2—81no—
730C2C73×#242411yescharacteristic
subgroupG/H
center, socleC2×C73#2424
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC73×#3019C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C73 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3069C2semidirect
2. C73×#3069C2semidirect
4. C2×#455×C73C2semidirect
5. C73×#2956C2semidirect
6. C73×#2888C2semidirect
7. C73×#2069C2semidirect
8. C73×#2050C2semidirect
9. C73×#2049C2semidirect
10. C73×#2004C2semidirect
11. C73×#1967C2semidirect
12. C73×#1932C2semidirect
13. C73×#1914C2semidirect
14. C73×#1902C2semidirect
15. C73×#1861C2semidirect
21. C2×#137×C73C22semidirect
24. #568×C73C22semidirect
37. #430×C73C22semidirect
38. #430×C73C22semidirect
39. #430×C73C22semidirect
40. #423×C73C22semidirect
45. C2×#104×C73C22semidirect
46. #419×C73C22semidirect
50. #413×C73C22semidirect
51. C2×#101×C73C22semidirect
52. C2×#101×C73C22semidirect
58. C4×M16×C73C22semidirect
59. #344×C73C22semidirect
60. #344×C73C22semidirect
61. #339×C73C22semidirect
62. #338×C73C22semidirect
136. #104×C73D4semidirect
137. #104×C73D4semidirect
143. #101×C73D4semidirect
150. #100×C73D4semidirect
357. #25199C73direct (N × H)
366. #3069C2×C73semidirect
367. #3069C2×C73semidirect
369. C2×#455C2×C73semidirect
370. #2956C2×C73semidirect
371. #2888C2×C73semidirect
372. #2069C2×C73semidirect
373. #2050C2×C73semidirect
374. #2049C2×C73semidirect
375. #2004C2×C73semidirect
376. #1967C2×C73semidirect
377. #1932C2×C73semidirect
378. #1914C2×C73semidirect
379. #1902C2×C73semidirect
380. #1861C2×C73semidirect
381. C73#25199direct (N × H)
387. C2×#137C22×C73semidirect
390. #568C22×C73semidirect
403. #430C22×C73semidirect
404. #430C22×C73semidirect
405. #430C22×C73semidirect
406. #423C22×C73semidirect
411. C2×#104C22×C73semidirect
412. #419C22×C73semidirect
416. #413C22×C73semidirect
417. C2×#101C22×C73semidirect
418. C2×#101C22×C73semidirect
424. C4×M16C22×C73semidirect
425. #344C22×C73semidirect
426. #344C22×C73semidirect
427. #339C22×C73semidirect
428. #338C22×C73semidirect
502. #104D4×C73semidirect
503. #104D4×C73semidirect
509. #101D4×C73semidirect
516. #100D4×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#30692
C73×#30192
C2×#455×C732
C73×#29562
C73×#28882
C73×#20692
C73×#20502
C73×#20492
C73×#20042
C73×#19672
C73×#19322
C73×#19142
C73×#19022
C73×#18612
#2519973