Finite Group Databasebeta

← C73×#26746 #32936150

Subgroups — C73×#26746 #32936150

Order 18688.

792 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2492C211yesmaximal, characteristic, complemented
2C73×#2363C211yesmaximal, characteristic
3C73×#2055C211yesmaximal, characteristic, complemented
4C73×#2033C211yesmaximal, characteristic
5C73×#2023C211yesmaximal, characteristic, complemented
6C73×#2000C211yesmaximal, characteristic
7C73×#1987C211yesmaximal, characteristic, complemented
8C73×#1935C211yesmaximal, characteristic, complemented
9C73×#1928C211yesmaximal, characteristic, complemented
10C73×#1924C211yesmaximal, characteristic, complemented
11C73×#1918C211yesmaximal, characteristic, complemented
12C73×#1877C211yesmaximal, characteristic, complemented
13C73×#1873C211yesmaximal, characteristic, complemented
14C73×#1825C211yesmaximal, characteristic, complemented
15C73×#1762C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73C2211yescharacteristic
19C2×#121×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22C2×#107×C73C2211yescharacteristic
23C2×C4⋊C8×C73C2211yescharacteristic
24C2×#103×C73C2211yescharacteristic
25C2×#103×C73C2211yescharacteristic
26C2×#103×C73C2211yescharacteristic
27C2×#102×C73C2211yescharacteristic
28C2×#102×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30C2×C22⋊C8×C73C2211yescharacteristic
31C2×C22⋊C8×C73C2211yescharacteristic
32C2×#97×C73C2211yescharacteristic
33#400×C73—21no—
34#393×C73—21no—
35#391×C73—21no—
36#391×C73C2211yescharacteristic
37#391×C73C2211yescharacteristic
38#390×C73—21no—
39#390×C73C2211yescharacteristic
40#389×C73C2211yescharacteristic
41#388×C73—21no—
42#388×C73—21no—
43#386×C73—21no—
44#380×C73C2211yescharacteristic
45C4×C4⋊C4×C73C2211yescharacteristic
46C4×C4⋊C4×C73C2211yescharacteristic
47C4×C22⋊C4×C73—21no—
48C4×C22⋊C4×C73C2211yescharacteristic
49#340×C73C2211yescharacteristic
50#340×C73C2211yescharacteristic
51#340×C73C2211yescharacteristic
52#340×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73—21no—
60C22×Q8×C73C2311yescharacteristic
61C22×D4×C73—21no—
62C22×D4×C73C2311yescharacteristic
63C23×C4×C73—21no—
64C23×C4×C73C2311yescharacteristic
65C2×SD16×C73—22no—
66C2×SD16×C73—41no—
67C2×SD16×C73—41no—
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C4⋊Q8×C73—22no—
73C4⋊Q8×C73—41no—
74C22⋊Q8×C73—22no—
75C22⋊Q8×C73—41no—
76#121×C73—22no—
77#121×C73—22no—
78C4×D4×C73—22no—
79C4×D4×C73—41no—
80#117×C73—22no—
81#117×C73—41no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73C2311yescharacteristic
86C2×C4⋊C4×C73C2311yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C22⋊C4×C73—21no—
92C2×C22⋊C4×C73—21no—
93C2×C22⋊C4×C73—21no—
94C2×C22⋊C4×C73—21no—
95C2×C22⋊C4×C73—21no—
96C2×C22⋊C4×C73—21no—
97C2×C22⋊C4×C73—21no—
98C2×C22⋊C4×C73D411yescharacteristic
99C2×C22⋊C4×C73D411yescharacteristic
100C2×C42×C73—21no—
101C2×C42×C73—21no—
102C2×C42×C73—21no—
103C2×C42×C73C2311yescharacteristic
104C2×C42×C73C2311yescharacteristic
105#107×C73—22no—
106C4⋊C8×C73—41no—
107#103×C73—22no—
108#103×C73—22no—
109#103×C73—41no—
110#102×C73—22no—
111#102×C73—22no—
112#102×C73—41no—
113C22⋊C8×C73—41no—
114C22⋊C8×C73—41no—
115#97×C73—41no—
116#95×C73—21no—
117#95×C73—21no—
118#95×C73—21no—
119#95×C73—21no—
120#95×C73—21no—
121#95×C73—21no—
122#95×C73—21no—
123#95×C73—21no—
124#95×C73D411yescharacteristic
125#95×C73D411yescharacteristic
126C24×C73—21no—
127C24×C73C2×D411yescharacteristic
128C2×Q8×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—21no—
132C2×Q8×C73—21no—
133C2×Q8×C73—21no—
134C2×Q8×C73—42no—
135C2×Q8×C73—42no—
136C2×Q8×C73—81no—
137C2×D4×C73—24no—
138C2×D4×C73—21no—
139C2×D4×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—81no—
144C2×D4×C73—81no—
145C2×D4×C73#4112yes—
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—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—42no—
160C22×C4×C73—42no—
161C22×C4×C73—81no—
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C22×C4×C73C2×D411yescharacteristic
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2×D411yescharacteristic
167C22×C4×C73C2411yescharacteristic
168SD16×C73—44no—
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—21no—
178C2×C8×C73—21no—
179C2×C8×C73—21no—
180C2×C8×C73—21no—
181C4⋊C4×C73—21no—
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—42no—
191C4⋊C4×C73—42no—
192C4⋊C4×C73—81no—
193C4⋊C4×C73#4112yes—
194C4⋊C4×C73#4112yes—
195C4⋊C4×C73#4112yes—
196C22⋊C4×C73—24no—
197C22⋊C4×C73—22no—
198C22⋊C4×C73—41no—
199C22⋊C4×C73—42no—
200C22⋊C4×C73—42no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—81no—
204C22⋊C4×C73—81no—
205C42×C73—21no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—42no—
210C42×C73—81no—
211C42×C73—81no—
212C23×C73—22no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73—41no—
226C23×C73C22×D411yescharacteristic
227Q8×C73—41no—
228Q8×C73—41no—
229Q8×C73—41no—
230Q8×C73—41no—
231Q8×C73—84no—
232D4×C73—22no—
233D4×C73—22no—
234D4×C73—41no—
235D4×C73—41no—
236D4×C73—84no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—22no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—22no—
246C2×C4×C73—22no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
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—41no—
273C2×C4×C73—41no—
274C2×C4×C73—41no—
275C2×C4×C73—41no—
276C2×C4×C73—84no—
277C2×C4×C73#13712yes—
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73C2×#4111yescharacteristic
280C2×C4×C73C2×#4111yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73H(5,𝔽2)11yescharacteristic
283C2×C4×C73H(5,𝔽2)11yescharacteristic
284C8×C73—41no—
285C8×C73—41no—
286C8×C73—41no—
287C8×C73—41no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—42no—
291C22×C73—41no—
292C22×C73—42no—
293C22×C73—41no—
294C22×C73—42no—
295C22×C73—41no—
296C22×C73—41no—
297C22×C73—41no—
298C22×C73—81no—
299C22×C73—81no—
300C22×C73—81no—
301C22×C73—81no—
302C22×C73#52511yescharacteristic
303C22×C73#54611yescharacteristic
304C22×C73#54611yescharacteristic
305C22×C73C2×#13711yescharacteristic
306C22×C73#57511yescharacteristic
307C22×C73#57611yescharacteristic
308C22×C73#57711yescharacteristic
309C4×C73—22no—
310C4×C73—41no—
311C4×C73—42no—
312C4×C73—41no—
313C4×C73—41no—
314C4×C73—42no—
315C4×C73—41no—
316C4×C73—42no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73#52911yescharacteristic
322C4×C73#53811yescharacteristic
323C4×C73#55511yescharacteristic
324C4×C73#55911yescharacteristic
325#26746C7311yesmaximal, characteristic, direct product factor, Sylow
326C2×C73—81no—
327C2×C73—82no—
328C2×C73#245911yescharacteristic
329C2×C73#311611yescharacteristic
330C2×C73#311811yescharacteristic
331C2×C73#331111yescharacteristic
332C2×C73#331911yescharacteristic
333C2×C73#332011yescharacteristic
334C2×C73#333311yescharacteristic
335#2492C2×C7311yescharacteristic, complemented
336#2363C2×C7311yescharacteristic
337#2055C2×C7311yescharacteristic, complemented
338#2033C2×C7311yescharacteristic
339#2023C2×C7311yescharacteristic, complemented
340#2000C2×C7311yescharacteristic
341#1987C2×C7311yescharacteristic, complemented
342#1935C2×C7311yescharacteristic, complemented
343#1928C2×C7311yescharacteristic, complemented
344#1924C2×C7311yescharacteristic, complemented
345#1918C2×C7311yescharacteristic, complemented
346#1877C2×C7311yescharacteristic, complemented
347#1873C2×C7311yescharacteristic, complemented
348#1825C2×C7311yescharacteristic, complemented
349#1762C2×C7311yescharacteristic, complemented
350C73#2674611yescharacteristic, direct product factor, Sylow
351C22×SD16C22×C7311yescharacteristic
352C2×C4⋊Q8C22×C7311yescharacteristic
353C2×C22⋊Q8C22×C7311yescharacteristic
354C2×#121C22×C7311yescharacteristic
355C2×C4×D4C22×C7311yescharacteristic
356C2×#117C22×C7311yescharacteristic
357C2×#107C22×C7311yescharacteristic
358C2×C4⋊C8C22×C7311yescharacteristic
359C2×#103C22×C7311yescharacteristic
360C2×#103C22×C7311yescharacteristic
361C2×#103C22×C7311yescharacteristic
362C2×#102C22×C7311yescharacteristic
363C2×#102C22×C7311yescharacteristic
364C2×#102C22×C7311yescharacteristic
365C2×C22⋊C8C22×C7311yescharacteristic
366C2×C22⋊C8C22×C7311yescharacteristic
367C2×#97C22×C7311yescharacteristic
368#400—21no—
369#393—21no—
370#391—21no—
371#391C22×C7311yescharacteristic
372#391C22×C7311yescharacteristic
373#390—21no—
374#390C22×C7311yescharacteristic
375#389C22×C7311yescharacteristic
376#388—21no—
377#388—21no—
378#386—21no—
379#380C22×C7311yescharacteristic
380C4×C4⋊C4C22×C7311yescharacteristic
381C4×C4⋊C4C22×C7311yescharacteristic
382C4×C22⋊C4—21no—
383C4×C22⋊C4C22×C7311yescharacteristic
384#340C22×C7311yescharacteristic
385#340C22×C7311yescharacteristic
386#340C22×C7311yescharacteristic
387#340C22×C7311yescharacteristic
388#340C22×C7311yescharacteristic
389#340C22×C7311yescharacteristic
390#340C22×C7311yescharacteristic
391#340C22×C7311yescharacteristic
392#336C22×C7311yescharacteristic
393#336C22×C7311yescharacteristic
394C22×Q8—21no—
395C22×Q8C23×C7311yescharacteristic
396C22×D4—21no—
397C22×D4C23×C7311yescharacteristic
398C23×C4—21no—
399C23×C4C23×C7311yescharacteristic
400C2×SD16—22no—
401C2×SD16—41no—
402C2×SD16—41no—
403C22×C8C23×C7311yescharacteristic
404C22×C8C23×C7311yescharacteristic
405C22×C8C23×C7311yescharacteristic
406C22×C8C23×C7311yescharacteristic
407C4⋊Q8—22no—
408C4⋊Q8—41no—
409C22⋊Q8—22no—
410C22⋊Q8—41no—
411#121—22no—
412#121—22no—
413C4×D4—22no—
414C4×D4—41no—
415#117—22no—
416#117—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4C23×C7311yescharacteristic
421C2×C4⋊C4C23×C7311yescharacteristic
422C2×C4⋊C4C23×C7311yescharacteristic
423C2×C4⋊C4C23×C7311yescharacteristic
424C2×C4⋊C4C23×C7311yescharacteristic
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4D4×C7311yescharacteristic
434C2×C22⋊C4D4×C7311yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C7311yescharacteristic
439C2×C42C23×C7311yescharacteristic
440#107—22no—
441C4⋊C8—41no—
442#103—22no—
443#103—22no—
444#103—41no—
445#102—22no—
446#102—22no—
447#102—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450#97—41no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95D4×C7311yescharacteristic
460#95D4×C7311yescharacteristic
461C24—21no—
462C24C2×D4×C7311yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×D4—24no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—81no—
479C2×D4—81no—
480C2×D4#41×C7312yes—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4C2×D4×C7311yescharacteristic
498C22×C4C2×D4×C7311yescharacteristic
499C22×C4C2×D4×C7311yescharacteristic
500C22×C4C2×D4×C7311yescharacteristic
501C22×C4C2×D4×C7311yescharacteristic
502C22×C4C24×C7311yescharacteristic
503SD16—44no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—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—42no—
526C4⋊C4—42no—
527C4⋊C4—81no—
528C4⋊C4#41×C7312yes—
529C4⋊C4#41×C7312yes—
530C4⋊C4#41×C7312yes—
531C22⋊C4—24no—
532C22⋊C4—22no—
533C22⋊C4—41no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—81no—
546C42—81no—
547C23—22no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×D4×C7311yescharacteristic
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—84no—
567D4—22no—
568D4—22no—
569D4—41no—
570D4—41no—
571D4—84no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
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—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—84no—
612C2×C4#137×C7312yes—
613C2×C4C2×#41×C7311yescharacteristic
614C2×C4C2×#41×C7311yescharacteristic
615C2×C4C2×#41×C7311yescharacteristic
616C2×C4C2×#41×C7311yescharacteristic
617C2×C4H(5,𝔽2)×C7311yescharacteristic
618C2×C4H(5,𝔽2)×C7311yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—41no—
624C22—42no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—42no—
631C22—41no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22#525×C7311yescharacteristic
638C22#546×C7311yescharacteristic
639C22#546×C7311yescharacteristic
640C22C2×#137×C7311yescharacteristic
641C22#575×C7311yescharacteristic
642C22#576×C7311yescharacteristic
643C22#577×C7311yescharacteristic
644C4—22no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—41no—
649C4—42no—
650C4—41no—
651C4—42no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4#529×C7311yescharacteristic
657C4#538×C7311yescharacteristic
658C4#555×C7311yescharacteristic
659C4#559×C7311yescharacteristic
660C2—81no—
661C2—82no—
662C2C73×#245911yescharacteristic
663C2C73×#311611yescharacteristic
664C2C73×#311811yescharacteristic
665C2C73×#331111yescharacteristic
666C2C73×#331911yescharacteristic
667C2C73×#332011yescharacteristic
668C2C73×#333311yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#121×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C4×C22⋊C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2492C2semidirect
3. C73×#2055C2semidirect
5. C73×#2023C2semidirect
7. C73×#1987C2semidirect
8. C73×#1935C2semidirect
9. C73×#1928C2semidirect
10. C73×#1924C2semidirect
11. C73×#1918C2semidirect
12. C73×#1877C2semidirect
13. C73×#1873C2semidirect
14. C73×#1825C2semidirect
15. C73×#1762C2semidirect
325. #26746C73direct (N × H)
335. #2492C2×C73semidirect
337. #2055C2×C73semidirect
339. #2023C2×C73semidirect
341. #1987C2×C73semidirect
342. #1935C2×C73semidirect
343. #1928C2×C73semidirect
344. #1924C2×C73semidirect
345. #1918C2×C73semidirect
346. #1877C2×C73semidirect
347. #1873C2×C73semidirect
348. #1825C2×C73semidirect
349. #1762C2×C73semidirect
350. C73#26746direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#24922
C73×#23632
C73×#20552
C73×#20332
C73×#20232
C73×#20002
C73×#19872
C73×#19352
C73×#19282
C73×#19242
C73×#19182
C73×#18772
C73×#18732
C73×#18252
C73×#17622
#2674673