Finite Group Databasebeta

← C73×#24851 #32934255

Subgroups — C73×#24851 #32934255

Order 18688.

852 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#476×C73C211yesmaximal, characteristic, complemented
2C2×#424×C73C211yesmaximal, characteristic, complemented
3C73×#2628C211yesmaximal, characteristic, complemented
4C73×#2324C211yesmaximal, characteristic
5C73×#2088C211yesmaximal, characteristic, complemented
6C73×#2088C211yesmaximal, characteristic, complemented
7C73×#2067C211yesmaximal, characteristic, complemented
8C73×#2065C211yesmaximal, characteristic, complemented
9C73×#1988C211yesmaximal, characteristic, complemented
10C73×#1949C211yesmaximal, characteristic, complemented
11C73×#1895C211yesmaximal, characteristic
12C73×#1893C211yesmaximal, characteristic
13C73×#1809C211yesmaximal, characteristic, complemented
14C73×#1807C211yesmaximal, characteristic, complemented
15C73×#1804C211yesmaximal, characteristic, complemented
16C22×M16×C73C2211yescharacteristic
17C23×C8×C73C2211yescharacteristic
18C2×C4⋊Q8×C73C2211yescharacteristic
19C2×#121×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22#476×C73—24no—
23C2×#107×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×#106×C73C2211yescharacteristic
27#424×C73—24no—
28C2×C4⋊C8×C73C2211yescharacteristic
29C2×C4⋊C8×C73C2211yescharacteristic
30C2×C4⋊C8×C73C2211yescharacteristic
31C2×C4⋊C8×C73C2211yescharacteristic
32C2×#102×C73C2211yescharacteristic
33C2×#102×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×#102×C73C2211yescharacteristic
36#400×C73—21no—
37#399×C73—21no—
38#395×C73—21no—
39#393×C73—21no—
40#390×C73—21no—
41#390×C73C2211yescharacteristic
42#389×C73C2211yescharacteristic
43#389×C73C2211yescharacteristic
44#389×C73C2211yescharacteristic
45#388×C73—21no—
46#386×C73—21no—
47#385×C73—21no—
48#382×C73C2211yescharacteristic
49#380×C73C2211yescharacteristic
50#380×C73C2211yescharacteristic
51#380×C73C2211yescharacteristic
52C4×C4⋊C4×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#340×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61C22×Q8×C73—21no—
62C22×D4×C73—21no—
63C22×D4×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C23×C4×C73C2311yescharacteristic
66C2×M16×C73—22no—
67C2×M16×C73—22no—
68C2×M16×C73—41no—
69C22×C8×C73—22no—
70C22×C8×C73—22no—
71C22×C8×C73—41no—
72C22×C8×C73C2311yescharacteristic
73C22×C8×C73C2311yescharacteristic
74C22×C8×C73C2311yescharacteristic
75C22×C8×C73C2311yescharacteristic
76C4⋊Q8×C73—22no—
77C4⋊Q8×C73—22no—
78#121×C73—22no—
79#121×C73Q814yescomplemented
80C4×D4×C73—22no—
81C4×D4×C73—22no—
82#117×C73—22no—
83#117×C73—22no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73—21no—
87C2×C4⋊C4×C73—21no—
88C2×C4⋊C4×C73D411yescharacteristic
89C2×C4⋊C4×C73D411yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
97C2×C22⋊C4×C73—21no—
98C2×C22⋊C4×C73—21no—
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73—21no—
102C2×C22⋊C4×C73—21no—
103C2×C22⋊C4×C73—21no—
104C2×C22⋊C4×C73D411yescharacteristic
105C2×C22⋊C4×C73D411yescharacteristic
106C2×C42×C73—21no—
107C2×C42×C73C2311yescharacteristic
108C2×C42×C73C2311yescharacteristic
109#107×C73—41no—
110#106×C73—22no—
111#106×C73—22no—
112#106×C73—41no—
113C4⋊C8×C73—22no—
114C4⋊C8×C73—22no—
115C4⋊C8×C73—22no—
116C4⋊C8×C73D414yescomplemented
117#102×C73—22no—
118#102×C73—22no—
119#102×C73—41no—
120#102×C73—41no—
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—
130C24×C73—21no—
131C24×C73C2×D411yescharacteristic
132C2×Q8×C73—42no—
133C2×Q8×C73—81no—
134C2×Q8×C73—81no—
135C2×D4×C73—24no—
136C2×D4×C73—21no—
137C2×D4×C73—21no—
138C2×D4×C73—21no—
139C2×D4×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—81no—
142C2×D4×C73—81no—
143C2×D4×C73C2×Q812yes—
144C22×C4×C73—21no—
145C22×C4×C73—21no—
146C22×C4×C73—21no—
147C22×C4×C73—21no—
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—42no—
156C22×C4×C73—81no—
157C22×C4×C73—81no—
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×Q812yes—
164C22×C4×C73#4112yes—
165C22×C4×C73C2411yescharacteristic
166M16×C73—44no—
167C2×C8×C73—21no—
168C2×C8×C73—21no—
169C2×C8×C73—21no—
170C2×C8×C73—21no—
171C2×C8×C73—21no—
172C2×C8×C73—21no—
173C2×C8×C73—21no—
174C2×C8×C73—21no—
175C2×C8×C73—21no—
176C2×C8×C73—21no—
177C2×C8×C73—44no—
178C2×C8×C73C2×D412yes—
179C2×C8×C73C2×D412yes—
180C4⋊C4×C73—22no—
181C4⋊C4×C73—22no—
182C4⋊C4×C73—21no—
183C4⋊C4×C73—21no—
184C4⋊C4×C73—21no—
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—21no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73—81no—
197C4⋊C4×C73—81no—
198C4⋊C4×C73—81no—
199C4⋊C4×C73C2×Q812yes—
200C22⋊C4×C73—22no—
201C22⋊C4×C73—22no—
202C22⋊C4×C73—24no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—81no—
205C22⋊C4×C73—81no—
206C22⋊C4×C73—81no—
207C22⋊C4×C73—81no—
208C22⋊C4×C73—81no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—81no—
212C42×C73C2×D412yes—
213C42×C73#4112yes—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—22no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73—41no—
226C23×C73—41no—
227C23×C73C22⋊Q812yes—
228C23×C73C22×D411yescharacteristic
229Q8×C73—84no—
230D4×C73—22no—
231D4×C73—22no—
232D4×C73—41no—
233D4×C73—41no—
234D4×C73—84no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—22no—
242C2×C4×C73—22no—
243C2×C4×C73—22no—
244C2×C4×C73—22no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—22no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
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×C73#12112yes—
274C2×C4×C73#12112yes—
275C2×C4×C73C22⋊Q812yes—
276C2×C4×C73C22×D411yescharacteristic
277C2×C4×C73C22×Q811yescharacteristic
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73H(5,𝔽2)11yescharacteristic
281C2×C4×C732−1+411yescharacteristic
282C8×C73—22no—
283C8×C73—22no—
284C8×C73—41no—
285C8×C73—41no—
286C22×C73—22no—
287C22×C73—22no—
288C22×C73—22no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73—41no—
292C22×C73—41no—
293C22×C73—42no—
294C22×C73—42no—
295C22×C73—42no—
296C22×C73—81no—
297C22×C73—81no—
298C22×C73—81no—
299C22×C73—81no—
300C22×C73C2×#12111yescharacteristic
301C22×C73C2×C22⋊Q811yescharacteristic
302C22×C73#53711yescharacteristic
303C22×C73#57611yescharacteristic
304C22×C73#57711yescharacteristic
305C22×C73#57711yescharacteristic
306C22×C73#57711yescharacteristic
307C4×C73—22no—
308C4×C73—22no—
309C4×C73—22no—
310C4×C73—42no—
311C4×C73—41no—
312C4×C73—41no—
313C4×C73—81no—
314C4×C73—81no—
315C4×C73—81no—
316C4×C73—81no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73#54611yescharacteristic
320C4×C73D4×Q811yescharacteristic
321C4×C73#55211yescharacteristic
322C4×C73#55411yescharacteristic
323#24851C7311yesmaximal, characteristic, direct product factor, Sylow
324C2×C73—42no—
325C2×C73—82no—
326C2×C73#241711yescharacteristic
327C2×C73#305711yescharacteristic
328C2×C73#306211yescharacteristic
329C2×C73#308111yescharacteristic
330C2×C73#308411yescharacteristic
331C2×C73#325711yescharacteristic
332C2×C73#326311yescharacteristic
333C2×#476C2×C7311yescharacteristic, complemented
334C2×#424C2×C7311yescharacteristic, complemented
335#2628C2×C7311yescharacteristic, complemented
336#2324C2×C7311yescharacteristic
337#2088C2×C7311yescharacteristic, complemented
338#2088C2×C7311yescharacteristic, complemented
339#2067C2×C7311yescharacteristic, complemented
340#2065C2×C7311yescharacteristic, complemented
341#1988C2×C7311yescharacteristic, complemented
342#1949C2×C7311yescharacteristic, complemented
343#1895C2×C7311yescharacteristic
344#1893C2×C7311yescharacteristic
345#1809C2×C7311yescharacteristic, complemented
346#1807C2×C7311yescharacteristic, complemented
347#1804C2×C7311yescharacteristic, complemented
348C73#2485111yescharacteristic, direct product factor, Sylow
349C22×M16C22×C7311yescharacteristic
350C23×C8C22×C7311yescharacteristic
351C2×C4⋊Q8C22×C7311yescharacteristic
352C2×#121C22×C7311yescharacteristic
353C2×C4×D4C22×C7311yescharacteristic
354C2×#117C22×C7311yescharacteristic
355#476—24no—
356C2×#107C22×C7311yescharacteristic
357C2×#106C22×C7311yescharacteristic
358C2×#106C22×C7311yescharacteristic
359C2×#106C22×C7311yescharacteristic
360#424—24no—
361C2×C4⋊C8C22×C7311yescharacteristic
362C2×C4⋊C8C22×C7311yescharacteristic
363C2×C4⋊C8C22×C7311yescharacteristic
364C2×C4⋊C8C22×C7311yescharacteristic
365C2×#102C22×C7311yescharacteristic
366C2×#102C22×C7311yescharacteristic
367C2×#102C22×C7311yescharacteristic
368C2×#102C22×C7311yescharacteristic
369#400—21no—
370#399—21no—
371#395—21no—
372#393—21no—
373#390—21no—
374#390C22×C7311yescharacteristic
375#389C22×C7311yescharacteristic
376#389C22×C7311yescharacteristic
377#389C22×C7311yescharacteristic
378#388—21no—
379#386—21no—
380#385—21no—
381#382C22×C7311yescharacteristic
382#380C22×C7311yescharacteristic
383#380C22×C7311yescharacteristic
384#380C22×C7311yescharacteristic
385C4×C4⋊C4C22×C7311yescharacteristic
386#340C22×C7311yescharacteristic
387#340C22×C7311yescharacteristic
388#340C22×C7311yescharacteristic
389#340C22×C7311yescharacteristic
390#340C22×C7311yescharacteristic
391#340C22×C7311yescharacteristic
392#340C22×C7311yescharacteristic
393#340C22×C7311yescharacteristic
394C22×Q8—21no—
395C22×D4—21no—
396C22×D4C23×C7311yescharacteristic
397C23×C4—21no—
398C23×C4C23×C7311yescharacteristic
399C2×M16—22no—
400C2×M16—22no—
401C2×M16—41no—
402C22×C8—22no—
403C22×C8—22no—
404C22×C8—41no—
405C22×C8C23×C7311yescharacteristic
406C22×C8C23×C7311yescharacteristic
407C22×C8C23×C7311yescharacteristic
408C22×C8C23×C7311yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—22no—
411#121—22no—
412#121Q8×C7314yescomplemented
413C4×D4—22no—
414C4×D4—22no—
415#117—22no—
416#117—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4D4×C7311yescharacteristic
422C2×C4⋊C4D4×C7311yescharacteristic
423C2×C4⋊C4C23×C7311yescharacteristic
424C2×C4⋊C4C23×C7311yescharacteristic
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C4⋊C4C23×C7311yescharacteristic
427C2×C4⋊C4C23×C7311yescharacteristic
428C2×C4⋊C4C23×C7311yescharacteristic
429C2×C4⋊C4C23×C7311yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4D4×C7311yescharacteristic
438C2×C22⋊C4D4×C7311yescharacteristic
439C2×C42—21no—
440C2×C42C23×C7311yescharacteristic
441C2×C42C23×C7311yescharacteristic
442#107—41no—
443#106—22no—
444#106—22no—
445#106—41no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448C4⋊C8—22no—
449C4⋊C8D4×C7314yescomplemented
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C24—21no—
464C24C2×D4×C7311yescharacteristic
465C2×Q8—42no—
466C2×Q8—81no—
467C2×Q8—81no—
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C2×Q8×C7312yes—
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—21no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4C2×D4×C7311yescharacteristic
492C22×C4C2×D4×C7311yescharacteristic
493C22×C4C2×D4×C7311yescharacteristic
494C22×C4C2×D4×C7311yescharacteristic
495C22×C4C2×D4×C7311yescharacteristic
496C22×C4C2×Q8×C7312yes—
497C22×C4#41×C7312yes—
498C22×C4C24×C7311yescharacteristic
499M16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—44no—
511C2×C8C2×D4×C7312yes—
512C2×C8C2×D4×C7312yes—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C2×Q8×C7312yes—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—81no—
545C42C2×D4×C7312yes—
546C42#41×C7312yes—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23C22⋊Q8×C7312yes—
561C23C22×D4×C7311yescharacteristic
562Q8—84no—
563D4—22no—
564D4—22no—
565D4—41no—
566D4—41no—
567D4—84no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
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—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—84no—
606C2×C4#121×C7312yes—
607C2×C4#121×C7312yes—
608C2×C4C22⋊Q8×C7312yes—
609C2×C4C22×D4×C7311yescharacteristic
610C2×C4C22×Q8×C7311yescharacteristic
611C2×C4C2×#41×C7311yescharacteristic
612C2×C4C2×#41×C7311yescharacteristic
613C2×C4H(5,𝔽2)×C7311yescharacteristic
614C2×C42−1+4×C7311yescharacteristic
615C8—22no—
616C8—22no—
617C8—41no—
618C8—41no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22C2×#121×C7311yescharacteristic
634C22C2×C22⋊Q8×C7311yescharacteristic
635C22#537×C7311yescharacteristic
636C22#576×C7311yescharacteristic
637C22#577×C7311yescharacteristic
638C22#577×C7311yescharacteristic
639C22#577×C7311yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4#546×C7311yescharacteristic
653C4D4×Q8×C7311yescharacteristic
654C4#552×C7311yescharacteristic
655C4#554×C7311yescharacteristic
656C2—42no—
657C2—82no—
658C2C73×#241711yescharacteristic
659C2C73×#305711yescharacteristic
660C2C73×#306211yescharacteristic
661C2C73×#308111yescharacteristic
662C2C73×#308411yescharacteristic
663C2C73×#325711yescharacteristic
664C2C73×#326311yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#121×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C2×#117×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#476×C73C2semidirect
2. C2×#424×C73C2semidirect
3. C73×#2628C2semidirect
5. C73×#2088C2semidirect
6. C73×#2088C2semidirect
7. C73×#2067C2semidirect
8. C73×#2065C2semidirect
9. C73×#1988C2semidirect
10. C73×#1949C2semidirect
13. C73×#1809C2semidirect
14. C73×#1807C2semidirect
15. C73×#1804C2semidirect
79. #121×C73Q8semidirect
116. C4⋊C8×C73D4semidirect
323. #24851C73direct (N × H)
333. C2×#476C2×C73semidirect
334. C2×#424C2×C73semidirect
335. #2628C2×C73semidirect
337. #2088C2×C73semidirect
338. #2088C2×C73semidirect
339. #2067C2×C73semidirect
340. #2065C2×C73semidirect
341. #1988C2×C73semidirect
342. #1949C2×C73semidirect
345. #1809C2×C73semidirect
346. #1807C2×C73semidirect
347. #1804C2×C73semidirect
348. C73#24851direct (N × H)
412. #121Q8×C73semidirect
449. C4⋊C8D4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#476×C732
C2×#424×C732
C73×#26282
C73×#23242
C73×#20882
C73×#20672
C73×#20652
C73×#19882
C73×#19492
C73×#18952
C73×#18932
C73×#18092
C73×#18072
C73×#18042
#2485173