Finite Group Databasebeta

← C73×#27072 #32936476

Subgroups — C73×#27072 #32936476

Order 18688.

774 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2513C211yesmaximal, characteristic, complemented
2C73×#2367C211yesmaximal, characteristic, complemented
3C73×#2092C211yesmaximal, characteristic, complemented
4C73×#2054C211yesmaximal, characteristic
5C73×#2042C211yesmaximal, characteristic, complemented
6C73×#2012C211yesmaximal, characteristic
7C73×#1968C211yesmaximal, characteristic, complemented
8C73×#1928C211yesmaximal, characteristic, complemented
9C73×#1925C211yesmaximal, characteristic, complemented
10C73×#1919C211yesmaximal, characteristic, complemented
11C73×#1916C211yesmaximal, characteristic, complemented
12C73×#1880C211yesmaximal, characteristic, complemented
13C73×#1879C211yesmaximal, characteristic
14C73×#1805C211yesmaximal, characteristic, complemented
15C4×#102×C73C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C22×D8×C73C2211yescharacteristic
18C2×#124×C73C2211yescharacteristic
19C2×C4×Q8×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21C2×#107×C73C2211yescharacteristic
22C2×#106×C73C2211yescharacteristic
23C2×C4⋊C8×C73C2211yescharacteristic
24C2×#103×C73C2211yescharacteristic
25C2×#103×C73C2211yescharacteristic
26C2×#103×C73C2211yescharacteristic
27C2×#102×C73C2211yescharacteristic
28C2×#102×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30C2×#102×C73C2211yescharacteristic
31C2×#102×C73C2211yescharacteristic
32C2×C4×C8×C73C2211yescharacteristic
33#397×C73—21no—
34#397×C73—21no—
35#391×C73C2211yescharacteristic
36#390×C73C2211yescharacteristic
37#390×C73C2211yescharacteristic
38#390×C73C2211yescharacteristic
39#390×C73C2211yescharacteristic
40#389×C73C2211yescharacteristic
41#388×C73—21no—
42#388×C73—21no—
43#388×C73—21no—
44#388×C73—21no—
45#385×C73—21no—
46#382×C73C2211yescharacteristic
47C4×C4⋊C4×C73C2211yescharacteristic
48C4×C4⋊C4×C73C2211yescharacteristic
49C4×C4⋊C4×C73C2211yescharacteristic
50C4×C22⋊C4×C73—21no—
51#340×C73C2211yescharacteristic
52#340×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#336×C73C2211yescharacteristic
56#336×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73C2311yescharacteristic
60C22×D4×C73C2311yescharacteristic
61C22×D4×C73C2311yescharacteristic
62C23×C4×C73—21no—
63C2×SD16×C73—22no—
64C2×SD16×C73—22no—
65C2×SD16×C73—41no—
66C2×D8×C73—22no—
67C2×D8×C73—41no—
68C2×D8×C73—41no—
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73#124×C73—22no—
74#124×C73—22no—
75C4×Q8×C73—22no—
76C4×Q8×C73—41no—
77C4×D4×C73—22no—
78C4×D4×C73—41no—
79C2×C4⋊C4×C73—21no—
80C2×C4⋊C4×C73—21no—
81C2×C4⋊C4×C73D411yescharacteristic
82C2×C4⋊C4×C73D411yescharacteristic
83C2×C4⋊C4×C73C2311yescharacteristic
84C2×C4⋊C4×C73C2311yescharacteristic
85C2×C4⋊C4×C73C2311yescharacteristic
86C2×C4⋊C4×C73C2311yescharacteristic
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C22⋊C4×C73—21no—
89C2×C22⋊C4×C73—21no—
90C2×C22⋊C4×C73—21no—
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×C73—21no—
99C2×C42×C73—21no—
100C2×C42×C73—21no—
101C2×C42×C73—21no—
102C2×C42×C73C2311yescharacteristic
103C2×C42×C73C2311yescharacteristic
104C2×C42×C73C2311yescharacteristic
105#107×C73—41no—
106#106×C73—22no—
107C4⋊C8×C73—41no—
108#103×C73—22no—
109#103×C73—41no—
110#103×C73—41no—
111#102×C73—22no—
112#102×C73—22no—
113#102×C73—22no—
114#102×C73—41no—
115#102×C73—41no—
116C4×C8×C73—41no—
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×C73—21no—
128C2×Q8×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—21no—
132C2×Q8×C73—21no—
133C2×Q8×C73#4112yes—
134C2×D4×C73—21no—
135C2×D4×C73—21no—
136C2×D4×C73—21no—
137C2×D4×C73—21no—
138C2×D4×C73—21no—
139C2×D4×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—21no—
144C2×D4×C73—21no—
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—42no—
153C22×C4×C73—42no—
154C22×C4×C73—81no—
155C22×C4×C73C2×D411yescharacteristic
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73C2×D411yescharacteristic
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2411yescharacteristic
162SD16×C73—44no—
163D8×C73—44no—
164C2×C8×C73—21no—
165C2×C8×C73—21no—
166C2×C8×C73—21no—
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#4112yes—
176C4⋊C4×C73—22no—
177C4⋊C4×C73—21no—
178C4⋊C4×C73—21no—
179C4⋊C4×C73—21no—
180C4⋊C4×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—41no—
187C4⋊C4×C73—42no—
188C4⋊C4×C73—81no—
189C4⋊C4×C73#4112yes—
190C22⋊C4×C73—24no—
191C22⋊C4×C73—24no—
192C22⋊C4×C73—42no—
193C22⋊C4×C73—42no—
194C22⋊C4×C73—42no—
195C22⋊C4×C73—42no—
196C22⋊C4×C73—81no—
197C22⋊C4×C73—81no—
198C22⋊C4×C73—81no—
199C22⋊C4×C73—81no—
200C22⋊C4×C73—81no—
201C42×C73—21no—
202C42×C73—21no—
203C42×C73—21no—
204C42×C73—21no—
205C42×C73—21no—
206C42×C73—21no—
207C42×C73—42no—
208C42×C73—81no—
209C42×C73—81no—
210C23×C73—22no—
211C23×C73—41no—
212C23×C73—41no—
213C23×C73—41no—
214C23×C73—41no—
215C23×C73—41no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73C22×D411yescharacteristic
225Q8×C73—22no—
226Q8×C73—22no—
227Q8×C73—41no—
228Q8×C73—41no—
229D4×C73—22no—
230D4×C73—22no—
231D4×C73—41no—
232D4×C73—41no—
233D4×C73—41no—
234D4×C73—41no—
235D4×C73—41no—
236D4×C73—41no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—22no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—22no—
246C2×C4×C73—21no—
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—21no—
255C2×C4×C73—21no—
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#13512yes—
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C73H(5,𝔽2)11yescharacteristic
279C2×C4×C73H(5,𝔽2)11yescharacteristic
280C8×C73—22no—
281C8×C73—41no—
282C8×C73—41no—
283C8×C73—41no—
284C22×C73—42no—
285C22×C73—42no—
286C22×C73—42no—
287C22×C73—81no—
288C22×C73—81no—
289C22×C73—81no—
290C22×C73—81no—
291C22×C73—81no—
292C22×C73—81no—
293C22×C73—81no—
294C22×C73—81no—
295C22×C73—81no—
296C22×C73—81no—
297C22×C73—81no—
298C22×C73#52511yescharacteristic
299C22×C73#54611yescharacteristic
300C22×C73#55011yescharacteristic
301C22×C73C2×#13511yescharacteristic
302C22×C73#57511yescharacteristic
303C22×C73#57611yescharacteristic
304C22×C73#57711yescharacteristic
305C4×C73—22no—
306C4×C73—41no—
307C4×C73—41no—
308C4×C73—42no—
309C4×C73—41no—
310C4×C73—42no—
311C4×C73—41no—
312C4×C73—41no—
313C4×C73—81no—
314C4×C73—81no—
315C4×C73—81no—
316C4×C73—81no—
317C4×C73#52911yescharacteristic
318C4×C73#53811yescharacteristic
319C4×C73#55111yescharacteristic
320C4×C73#55311yescharacteristic
321#27072C7311yesmaximal, characteristic, direct product factor, Sylow
322C2×C73—82no—
323C2×C73—161no—
324C2×C73#246711yescharacteristic
325C2×C73#310211yescharacteristic
326C2×C73#311911yescharacteristic
327C2×C73#329711yescharacteristic
328C2×C73#332111yescharacteristic
329C2×C73#339411yescharacteristic
330C2×C73#340311yescharacteristic
331#2513C2×C7311yescharacteristic, complemented
332#2367C2×C7311yescharacteristic, complemented
333#2092C2×C7311yescharacteristic, complemented
334#2054C2×C7311yescharacteristic
335#2042C2×C7311yescharacteristic, complemented
336#2012C2×C7311yescharacteristic
337#1968C2×C7311yescharacteristic, complemented
338#1928C2×C7311yescharacteristic, complemented
339#1925C2×C7311yescharacteristic, complemented
340#1919C2×C7311yescharacteristic, complemented
341#1916C2×C7311yescharacteristic, complemented
342#1880C2×C7311yescharacteristic, complemented
343#1879C2×C7311yescharacteristic
344#1805C2×C7311yescharacteristic, complemented
345C4×#102C2×C7311yescharacteristic, complemented
346C73#2707211yescharacteristic, direct product factor, Sylow
347C22×SD16C22×C7311yescharacteristic
348C22×D8C22×C7311yescharacteristic
349C2×#124C22×C7311yescharacteristic
350C2×C4×Q8C22×C7311yescharacteristic
351C2×C4×D4C22×C7311yescharacteristic
352C2×#107C22×C7311yescharacteristic
353C2×#106C22×C7311yescharacteristic
354C2×C4⋊C8C22×C7311yescharacteristic
355C2×#103C22×C7311yescharacteristic
356C2×#103C22×C7311yescharacteristic
357C2×#103C22×C7311yescharacteristic
358C2×#102C22×C7311yescharacteristic
359C2×#102C22×C7311yescharacteristic
360C2×#102C22×C7311yescharacteristic
361C2×#102C22×C7311yescharacteristic
362C2×#102C22×C7311yescharacteristic
363C2×C4×C8C22×C7311yescharacteristic
364#397—21no—
365#397—21no—
366#391C22×C7311yescharacteristic
367#390C22×C7311yescharacteristic
368#390C22×C7311yescharacteristic
369#390C22×C7311yescharacteristic
370#390C22×C7311yescharacteristic
371#389C22×C7311yescharacteristic
372#388—21no—
373#388—21no—
374#388—21no—
375#388—21no—
376#385—21no—
377#382C22×C7311yescharacteristic
378C4×C4⋊C4C22×C7311yescharacteristic
379C4×C4⋊C4C22×C7311yescharacteristic
380C4×C4⋊C4C22×C7311yescharacteristic
381C4×C22⋊C4—21no—
382#340C22×C7311yescharacteristic
383#340C22×C7311yescharacteristic
384#340C22×C7311yescharacteristic
385#340C22×C7311yescharacteristic
386#336C22×C7311yescharacteristic
387#336C22×C7311yescharacteristic
388#336C22×C7311yescharacteristic
389#336C22×C7311yescharacteristic
390C22×Q8C23×C7311yescharacteristic
391C22×D4C23×C7311yescharacteristic
392C22×D4C23×C7311yescharacteristic
393C23×C4—21no—
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16—41no—
397C2×D8—22no—
398C2×D8—41no—
399C2×D8—41no—
400C22×C8C23×C7311yescharacteristic
401C22×C8C23×C7311yescharacteristic
402C22×C8C23×C7311yescharacteristic
403C22×C8C23×C7311yescharacteristic
404#124—22no—
405#124—22no—
406C4×Q8—22no—
407C4×Q8—41no—
408C4×D4—22no—
409C4×D4—41no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4D4×C7311yescharacteristic
413C2×C4⋊C4D4×C7311yescharacteristic
414C2×C4⋊C4C23×C7311yescharacteristic
415C2×C4⋊C4C23×C7311yescharacteristic
416C2×C4⋊C4C23×C7311yescharacteristic
417C2×C4⋊C4C23×C7311yescharacteristic
418C2×C4⋊C4C23×C7311yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—21no—
433C2×C42C23×C7311yescharacteristic
434C2×C42C23×C7311yescharacteristic
435C2×C42C23×C7311yescharacteristic
436#107—41no—
437#106—22no—
438C4⋊C8—41no—
439#103—22no—
440#103—41no—
441#103—41no—
442#102—22no—
443#102—22no—
444#102—22no—
445#102—41no—
446#102—41no—
447C4×C8—41no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C7311yescharacteristic
456#95D4×C7311yescharacteristic
457C24—21no—
458C24—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8#41×C7312yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4#41×C7312yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4C2×D4×C7311yescharacteristic
487C22×C4C2×D4×C7311yescharacteristic
488C22×C4C2×D4×C7311yescharacteristic
489C22×C4C2×D4×C7311yescharacteristic
490C22×C4C2×D4×C7311yescharacteristic
491C22×C4C2×D4×C7311yescharacteristic
492C22×C4C24×C7311yescharacteristic
493SD16—44no—
494D8—44no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8#41×C7312yes—
507C4⋊C4—22no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—41no—
518C4⋊C4—42no—
519C4⋊C4—81no—
520C4⋊C4#41×C7312yes—
521C22⋊C4—24no—
522C22⋊C4—24no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C42—81no—
540C42—81no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×D4×C7311yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—41no—
559Q8—41no—
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
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—84no—
604C2×C4#135×C7312yes—
605C2×C4C2×#41×C7311yescharacteristic
606C2×C4C2×#41×C7311yescharacteristic
607C2×C4C2×#41×C7311yescharacteristic
608C2×C4C2×#41×C7311yescharacteristic
609C2×C4H(5,𝔽2)×C7311yescharacteristic
610C2×C4H(5,𝔽2)×C7311yescharacteristic
611C8—22no—
612C8—41no—
613C8—41no—
614C8—41no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22#525×C7311yescharacteristic
630C22#546×C7311yescharacteristic
631C22#550×C7311yescharacteristic
632C22C2×#135×C7311yescharacteristic
633C22#575×C7311yescharacteristic
634C22#576×C7311yescharacteristic
635C22#577×C7311yescharacteristic
636C4—22no—
637C4—42no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4#529×C7311yescharacteristic
649C4#538×C7311yescharacteristic
650C4#551×C7311yescharacteristic
651C4#553×C7311yescharacteristic
652C2—82no—
653C2—161no—
654C2C73×#246711yescharacteristic
655C2C73×#310211yescharacteristic
656C2C73×#311911yescharacteristic
657C2C73×#329711yescharacteristic
658C2C73×#332111yescharacteristic
659C2C73×#339411yescharacteristic
660C2C73×#340311yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC22×D8×C73C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C4×C4⋊C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#2513C2semidirect
2. C73×#2367C2semidirect
3. C73×#2092C2semidirect
5. C73×#2042C2semidirect
7. C73×#1968C2semidirect
8. C73×#1928C2semidirect
9. C73×#1925C2semidirect
10. C73×#1919C2semidirect
11. C73×#1916C2semidirect
12. C73×#1880C2semidirect
14. C73×#1805C2semidirect
15. C4×#102×C73C2semidirect
321. #27072C73direct (N × H)
331. #2513C2×C73semidirect
332. #2367C2×C73semidirect
333. #2092C2×C73semidirect
335. #2042C2×C73semidirect
337. #1968C2×C73semidirect
338. #1928C2×C73semidirect
339. #1925C2×C73semidirect
340. #1919C2×C73semidirect
341. #1916C2×C73semidirect
342. #1880C2×C73semidirect
344. #1805C2×C73semidirect
345. C4×#102C2×C73semidirect
346. C73#27072direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#25132
C73×#23672
C73×#20922
C73×#20542
C73×#20422
C73×#20122
C73×#19682
C73×#19282
C73×#19252
C73×#19192
C73×#19162
C73×#18802
C73×#18792
C73×#18052
C4×#102×C732
#2707273