Finite Group Databasebeta

← C73×#14766 #32924170

Subgroups — C73×#14766 #32924170

Order 18688.

1938 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#398×C73C211yesmaximal, characteristic, complemented
2C2×#385×C73C211yesmaximal, characteristic
3C2×#380×C73C211yesmaximal, characteristic
4C2×#380×C73C212yesmaximal
5C22×#95×C73C211yesmaximal, characteristic
6C73×#1445C211yesmaximal, characteristic, complemented
7C73×#1444C211yesmaximal, characteristic, complemented
8C73×#1442C212yesmaximal, complemented
9C73×#1441C211yesmaximal, characteristic, complemented
10C73×#1441C212yesmaximal, complemented
11C73×C22⋊#95C212yesmaximal
12C24×C4×C73C2211yescharacteristic
13C24×C4×C73C2212yes—
14C22×C4⋊C4×C73C2211yescharacteristic
15C22×C4⋊C4×C73C2211yescharacteristic
16C22×C4⋊C4×C73C2212yes—
17C22×C4⋊C4×C73C2212yes—
18C22×C4⋊C4×C73C2211yescharacteristic
19C22×C4⋊C4×C73C2211yescharacteristic
20C22×C22⋊C4×C73C2211yescharacteristic
21C22×C22⋊C4×C73C2212yes—
22C22×C22⋊C4×C73C2211yescharacteristic
23#398×C73—24no—
24#385×C73—24no—
25#380×C73—24no—
26#380×C73—28no—
27C2×#95×C73—24no—
28C2×#95×C73C2212yes—
29C2×#95×C73C2212yes—
30C2×#95×C73C2212yes—
31C2×#95×C73C2212yes—
32C2×#95×C73C2212yes—
33C2×#95×C73C2211yescharacteristic
34C2×#95×C73C2212yes—
35C2×#95×C73C2211yescharacteristic
36C2×#95×C73C2211yescharacteristic
37C2×#95×C73C2212yes—
38C2×#95×C73C2212yes—
39C2×#95×C73C2211yescharacteristic
40C25×C73C2311yescharacteristic
41C23×C4×C73—24no—
42C23×C4×C73—24no—
43C23×C4×C73—24no—
44C23×C4×C73—22no—
45C23×C4×C73—24no—
46C23×C4×C73—22no—
47C23×C4×C73—24no—
48C23×C4×C73—42no—
49C23×C4×C73—42no—
50C23×C4×C73—42no—
51C23×C4×C73D414yes—
52C23×C4×C73Q818yes—
53C23×C4×C73C2311yescharacteristic
54C23×C4×C73C2312yes—
55C23×C4×C73C2312yes—
56C23×C4×C73C2311yescharacteristic
57C23×C4×C73C2311yescharacteristic
58C23×C4×C73C2311yescharacteristic
59C23×C4×C73C2311yescharacteristic
60C23×C4×C73C2312yes—
61C23×C4×C73C2311yescharacteristic
62C23×C4×C73C2312yes—
63C2×C4⋊C4×C73—24no—
64C2×C4⋊C4×C73—24no—
65C2×C4⋊C4×C73—22no—
66C2×C4⋊C4×C73—22no—
67C2×C4⋊C4×C73—22no—
68C2×C4⋊C4×C73—22no—
69C2×C4⋊C4×C73—24no—
70C2×C4⋊C4×C73—22no—
71C2×C4⋊C4×C73—22no—
72C2×C4⋊C4×C73—24no—
73C2×C4⋊C4×C73—22no—
74C2×C4⋊C4×C73—22no—
75C2×C4⋊C4×C73—42no—
76C2×C4⋊C4×C73—42no—
77C2×C4⋊C4×C73—42no—
78C2×C4⋊C4×C73—42no—
79C2×C22⋊C4×C73—22no—
80C2×C22⋊C4×C73—22no—
81C2×C22⋊C4×C73—24no—
82C2×C22⋊C4×C73—24no—
83C2×C22⋊C4×C73—22no—
84C2×C22⋊C4×C73—24no—
85C2×C22⋊C4×C73—24no—
86C2×C22⋊C4×C73D414yes—
87#95×C73—24no—
88#95×C73—24no—
89#95×C73—24no—
90#95×C73—22no—
91#95×C73—22no—
92#95×C73—24no—
93#95×C73—22no—
94#95×C73—24no—
95#95×C73—24no—
96#95×C73—42no—
97#95×C73—42no—
98#95×C73D414yes—
99C24×C73—21no—
100C24×C73—21no—
101C24×C73—22no—
102C24×C73—22no—
103C24×C73—21no—
104C24×C73—21no—
105C24×C73C2×D412yes—
106C24×C73C2×D412yes—
107C24×C73C2×Q814yes—
108C24×C73#4112yes—
109C24×C73#4114yes—
110C24×C73C2411yescharacteristic
111C22×C4×C73—22no—
112C22×C4×C73—22no—
113C22×C4×C73—22no—
114C22×C4×C73—22no—
115C22×C4×C73—22no—
116C22×C4×C73—22no—
117C22×C4×C73—216no—
118C22×C4×C73—28no—
119C22×C4×C73—21no—
120C22×C4×C73—22no—
121C22×C4×C73—22no—
122C22×C4×C73—21no—
123C22×C4×C73—21no—
124C22×C4×C73—21no—
125C22×C4×C73—21no—
126C22×C4×C73—21no—
127C22×C4×C73—22no—
128C22×C4×C73—21no—
129C22×C4×C73—21no—
130C22×C4×C73—22no—
131C22×C4×C73—22no—
132C22×C4×C73—22no—
133C22×C4×C73—22no—
134C22×C4×C73—22no—
135C22×C4×C73—21no—
136C22×C4×C73—22no—
137C22×C4×C73—22no—
138C22×C4×C73—21no—
139C22×C4×C73—28no—
140C22×C4×C73—216no—
141C22×C4×C73—21no—
142C22×C4×C73—21no—
143C22×C4×C73—22no—
144C22×C4×C73—22no—
145C22×C4×C73—22no—
146C22×C4×C73—22no—
147C22×C4×C73—22no—
148C22×C4×C73—21no—
149C22×C4×C73—22no—
150C22×C4×C73—22no—
151C22×C4×C73—22no—
152C22×C4×C73—22no—
153C22×C4×C73—22no—
154C22×C4×C73—22no—
155C22×C4×C73—22no—
156C22×C4×C73—21no—
157C22×C4×C73—22no—
158C22×C4×C73—21no—
159C22×C4×C73—22no—
160C22×C4×C73—22no—
161C22×C4×C73—22no—
162C22×C4×C73—22no—
163C22×C4×C73—22no—
164C22×C4×C73—21no—
165C22×C4×C73—44no—
166C22×C4×C73—48no—
167C22×C4×C73—48no—
168C22×C4×C73—48no—
169C22×C4×C73—48no—
170C22×C4×C73—48no—
171C22×C4×C73—48no—
172C22×C4×C73—48no—
173C22×C4×C73C2×D412yes—
174C22×C4×C73C2×D412yes—
175C22×C4×C73C2×D412yes—
176C22×C4×C73C2×D412yes—
177C22×C4×C73C2×D412yes—
178C22×C4×C73C2×D414yes—
179C22×C4×C73C2×Q814yes—
180C22×C4×C73C2×Q814yes—
181C22×C4×C73#4112yes—
182C22×C4×C73#4114yes—
183C4⋊C4×C73—48no—
184C4⋊C4×C73—48no—
185C4⋊C4×C73—44no—
186C4⋊C4×C73—44no—
187C4⋊C4×C73—44no—
188C4⋊C4×C73—44no—
189C22⋊C4×C73—28no—
190C22⋊C4×C73—48no—
191C22⋊C4×C73—44no—
192C23×C73—22no—
193C23×C73—24no—
194C23×C73—22no—
195C23×C73—24no—
196C23×C73—22no—
197C23×C73—22no—
198C23×C73—24no—
199C23×C73—24no—
200C23×C73—22no—
201C23×C73—24no—
202C23×C73—24no—
203C23×C73—22no—
204C23×C73—22no—
205C23×C73—24no—
206C23×C73—24no—
207C23×C73—24no—
208C23×C73—22no—
209C23×C73—24no—
210C23×C73#12114yes—
211C23×C73C22⋊Q818yes—
212C23×C73#12314yes—
213C23×C73#12518yes—
214C23×C73C4⋊Q814yes—
215C23×C73C22×D411yescharacteristic
216C23×C73C22×D411yescharacteristic
217C23×C73C22×D411yescharacteristic
218C23×C73C22×Q812yes—
219C23×C73C2×#4111yescharacteristic
220C23×C73C2×#4111yescharacteristic
221C23×C73C2×#4112yes—
222C23×C73C2×#4112yes—
223C23×C73H(5,𝔽2)12yes—
224C23×C73H(5,𝔽2)11yescharacteristic
225C23×C732−1+411yescharacteristic
226C2×C4×C73—24no—
227C2×C4×C73—22no—
228C2×C4×C73—22no—
229C2×C4×C73—24no—
230C2×C4×C73—24no—
231C2×C4×C73—24no—
232C2×C4×C73—24no—
233C2×C4×C73—24no—
234C2×C4×C73—24no—
235C2×C4×C73—24no—
236C2×C4×C73—22no—
237C2×C4×C73—22no—
238C2×C4×C73—22no—
239C2×C4×C73—24no—
240C2×C4×C73—24no—
241C2×C4×C73—22no—
242C2×C4×C73—22no—
243C2×C4×C73—24no—
244C2×C4×C73—22no—
245C2×C4×C73—24no—
246C2×C4×C73—22no—
247C2×C4×C73—416no—
248C2×C4×C73—432no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—42no—
254C2×C4×C73—42no—
255C2×C4×C73—42no—
256C2×C4×C73—42no—
257C2×C4×C73—41no—
258C2×C4×C73—42no—
259C2×C4×C73—42no—
260C2×C4×C73—41no—
261C2×C4×C73—42no—
262C2×C4×C73—42no—
263C2×C4×C73—42no—
264C2×C4×C73—41no—
265C2×C4×C73—42no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—42no—
270C2×C4×C73—41no—
271C2×C4×C73—42no—
272C2×C4×C73—42no—
273C2×C4×C73—41no—
274C2×C4×C73—42no—
275C2×C4×C73—42no—
276C2×C4×C73—42no—
277C2×C4×C73—42no—
278C2×C4×C73—42no—
279C2×C4×C73—42no—
280C2×C4×C73—42no—
281C2×C4×C73—42no—
282C2×C4×C73—42no—
283C2×C4×C73—42no—
284C2×C4×C73—42no—
285C2×C4×C73—42no—
286C2×C4×C73#12114yes—
287C2×C4×C73C22⋊Q818yes—
288C22×C73—28no—
289C22×C73—24no—
290C22×C73—24no—
291C22×C73—24no—
292C22×C73—24no—
293C22×C73—28no—
294C22×C73—28no—
295C22×C73—28no—
296C22×C73—24no—
297C22×C73—24no—
298C22×C73#39818yescomplemented
299C22×C73C2×#12111yescharacteristic
300C22×C73C2×#12111yescharacteristic
301C22×C73C2×C22⋊Q812yes—
302C22×C73C2×C22⋊Q812yes—
303C22×C73C2×#12311yescharacteristic
304C22×C73C2×#12512yes—
305C22×C73C2×C4⋊Q811yescharacteristic
306C22×C73#53211yescharacteristic
307C22×C73#53312yes—
308C22×C73#53411yescharacteristic
309C22×C73#53711yescharacteristic
310C22×C73#54312yes—
311C22×C73#54412yes—
312C22×C73D4211yescharacteristic
313C22×C73#54612yes—
314C22×C73#54612yes—
315C22×C73#54711yescharacteristic
316C22×C73#54811yescharacteristic
317C22×C73#55112yes—
318C22×C73#55112yes—
319C22×C73#55212yes—
320C22×C73#55311yescharacteristic
321C22×C73#55312yes—
322C4×C73—24no—
323C4×C73—28no—
324C4×C73—42no—
325C4×C73—42no—
326C4×C73—44no—
327C4×C73—42no—
328C4×C73—81no—
329C4×C73—82no—
330C4×C73—81no—
331C4×C73—82no—
332#14766C7311yesmaximal, characteristic, direct product factor, Sylow
333C2×C73—28no—
334C2×C73C2×#39811yescharacteristic
335C2×C73#241211yescharacteristic
336C2×C73#241611yescharacteristic
337C2×C73#243712yes—
338C2×C73#243812yes—
339C2×C73#244212yes—
340C2×C73#249811yescharacteristic
341C2×C73#254311yescharacteristic
342C2×C73#256912yes—
343C2×C73#265911yescharacteristic
344C2×C73#285711yescharacteristic
345C2×#398C2×C7311yescharacteristic, complemented
346C2×#385C2×C7311yescharacteristic
347C2×#380C2×C7311yescharacteristic
348C2×#380C2×C7312yes—
349C22×#95C2×C7311yescharacteristic
350#1445C2×C7311yescharacteristic, complemented
351#1444C2×C7311yescharacteristic, complemented
352#1442C2×C7312yescomplemented
353#1441C2×C7311yescharacteristic, complemented
354#1441C2×C7312yescomplemented
355C22⋊#95C2×C7312yes—
356C73#1476611yescharacteristic, direct product factor, Sylow
357C24×C4C22×C7311yescharacteristic
358C24×C4C22×C7312yes—
359C22×C4⋊C4C22×C7311yescharacteristic
360C22×C4⋊C4C22×C7311yescharacteristic
361C22×C4⋊C4C22×C7312yes—
362C22×C4⋊C4C22×C7312yes—
363C22×C4⋊C4C22×C7311yescharacteristic
364C22×C4⋊C4C22×C7311yescharacteristic
365C22×C22⋊C4C22×C7311yescharacteristic
366C22×C22⋊C4C22×C7312yes—
367C22×C22⋊C4C22×C7311yescharacteristic
368#398—24no—
369#385—24no—
370#380—24no—
371#380—28no—
372C2×#95—24no—
373C2×#95C22×C7312yes—
374C2×#95C22×C7312yes—
375C2×#95C22×C7312yes—
376C2×#95C22×C7312yes—
377C2×#95C22×C7312yes—
378C2×#95C22×C7311yescharacteristic
379C2×#95C22×C7312yes—
380C2×#95C22×C7311yescharacteristic
381C2×#95C22×C7311yescharacteristic
382C2×#95C22×C7312yes—
383C2×#95C22×C7312yes—
384C2×#95C22×C7311yescharacteristic
385C25C23×C7311yescharacteristic
386C23×C4—24no—
387C23×C4—24no—
388C23×C4—24no—
389C23×C4—22no—
390C23×C4—24no—
391C23×C4—22no—
392C23×C4—24no—
393C23×C4—42no—
394C23×C4—42no—
395C23×C4—42no—
396C23×C4D4×C7314yes—
397C23×C4Q8×C7318yes—
398C23×C4C23×C7311yescharacteristic
399C23×C4C23×C7312yes—
400C23×C4C23×C7312yes—
401C23×C4C23×C7311yescharacteristic
402C23×C4C23×C7311yescharacteristic
403C23×C4C23×C7311yescharacteristic
404C23×C4C23×C7311yescharacteristic
405C23×C4C23×C7312yes—
406C23×C4C23×C7311yescharacteristic
407C23×C4C23×C7312yes—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—42no—
421C2×C4⋊C4—42no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—42no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4D4×C7314yes—
432#95—22no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—24no—
437#95—22no—
438#95—22no—
439#95—24no—
440#95—24no—
441#95—42no—
442#95—42no—
443#95D4×C7314yes—
444C24—21no—
445C24—21no—
446C24—22no—
447C24—22no—
448C24—21no—
449C24—21no—
450C24C2×D4×C7312yes—
451C24C2×D4×C7312yes—
452C24C2×Q8×C7314yes—
453C24#41×C7312yes—
454C24#41×C7314yes—
455C24C24×C7311yescharacteristic
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—216no—
463C22×C4—28no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—28no—
485C22×C4—216no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—44no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4C2×D4×C7312yes—
519C22×C4C2×D4×C7312yes—
520C22×C4C2×D4×C7312yes—
521C22×C4C2×D4×C7312yes—
522C22×C4C2×D4×C7312yes—
523C22×C4C2×D4×C7314yes—
524C22×C4C2×Q8×C7314yes—
525C22×C4C2×Q8×C7314yes—
526C22×C4#41×C7312yes—
527C22×C4#41×C7314yes—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C4⋊C4—44no—
534C22⋊C4—28no—
535C22⋊C4—48no—
536C22⋊C4—44no—
537C23—22no—
538C23—24no—
539C23—22no—
540C23—24no—
541C23—22no—
542C23—22no—
543C23—24no—
544C23—24no—
545C23—22no—
546C23—24no—
547C23—24no—
548C23—22no—
549C23—22no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—22no—
555C23#121×C7314yes—
556C23C22⋊Q8×C7318yes—
557C23#123×C7314yes—
558C23#125×C7318yes—
559C23C4⋊Q8×C7314yes—
560C23C22×D4×C7311yescharacteristic
561C23C22×D4×C7311yescharacteristic
562C23C22×D4×C7311yescharacteristic
563C23C22×Q8×C7312yes—
564C23C2×#41×C7311yescharacteristic
565C23C2×#41×C7311yescharacteristic
566C23C2×#41×C7312yes—
567C23C2×#41×C7312yes—
568C23H(5,𝔽2)×C7312yes—
569C23H(5,𝔽2)×C7311yescharacteristic
570C232−1+4×C7311yescharacteristic
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—416no—
593C2×C4—432no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4#121×C7314yes—
632C2×C4C22⋊Q8×C7318yes—
633C22—28no—
634C22—24no—
635C22—24no—
636C22—28no—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—28no—
642C22—28no—
643C22#398×C7318yescomplemented
644C22C2×#121×C7311yescharacteristic
645C22C2×#121×C7311yescharacteristic
646C22C2×C22⋊Q8×C7312yes—
647C22C2×C22⋊Q8×C7312yes—
648C22C2×#123×C7311yescharacteristic
649C22C2×#125×C7312yes—
650C22C2×C4⋊Q8×C7311yescharacteristic
651C22#532×C7311yescharacteristic
652C22#533×C7312yes—
653C22#534×C7311yescharacteristic
654C22#537×C7311yescharacteristic
655C22#543×C7312yes—
656C22#544×C7312yes—
657C22D42×C7311yescharacteristic
658C22#546×C7312yes—
659C22#546×C7312yes—
660C22#547×C7311yescharacteristic
661C22#548×C7311yescharacteristic
662C22#551×C7312yes—
663C22#551×C7312yes—
664C22#552×C7312yes—
665C22#553×C7312yes—
666C22#553×C7311yescharacteristic
667C4—24no—
668C4—28no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—44no—
673C4—81no—
674C4—82no—
675C4—81no—
676C4—82no—
677C2—28no—
678C2C2×#398×C7311yescharacteristic
679C2C73×#241211yescharacteristic
680C2C73×#241611yescharacteristic
681C2C73×#243712yes—
682C2C73×#243812yes—
683C2C73×#244212yes—
684C2C73×#249811yescharacteristic
685C2C73×#254311yescharacteristic
686C2C73×#256912yes—
687C2C73×#265911yescharacteristic
688C2C73×#285711yescharacteristic
subgroupG/H
center, socleC24×C73C24
commutator, Frattini, cosocleC24C24×C73
prime radicalC25×C73C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#398×C73C2semidirect
6. C73×#1445C2semidirect
7. C73×#1444C2semidirect
8. C73×#1442C2semidirect
9. C73×#1441C2semidirect
10. C73×#1441C2semidirect
298. C22×C73#398semidirect
332. #14766C73direct (N × H)
345. C2×#398C2×C73semidirect
350. #1445C2×C73semidirect
351. #1444C2×C73semidirect
352. #1442C2×C73semidirect
353. #1441C2×C73semidirect
354. #1441C2×C73semidirect
356. C73#14766direct (N × H)
643. C22#398×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#398×C732
C2×#385×C732
C2×#380×C732
C22×#95×C732
C73×#14452
C73×#14442
C73×#14422
C73×#14412
C73×C22⋊#952
#1476673