Finite Group Databasebeta

← C73×#25031 #32934435

Subgroups — C73×#25031 #32934435

Order 18688.

850 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#465×C73C211yesmaximal, characteristic
2C2×C4×SD16×C73C211yesmaximal, characteristic, complemented
3C73×#2421C211yesmaximal, characteristic, complemented
4C73×#2420C211yesmaximal, characteristic
5C73×#2074C211yesmaximal, characteristic, complemented
6C73×#2073C211yesmaximal, characteristic, complemented
7C73×#2036C211yesmaximal, characteristic, complemented
8C73×#2033C211yesmaximal, characteristic
9C73×#1968C211yesmaximal, characteristic, complemented
10C73×#1941C211yesmaximal, characteristic, complemented
11C73×#1863C211yesmaximal, characteristic, complemented
12C73×#1862C211yesmaximal, characteristic, complemented
13C73×#1846C211yesmaximal, characteristic, complemented
14C73×#1807C211yesmaximal, characteristic, complemented
15C8×C22⋊C4×C73C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C23×C8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73C2211yescharacteristic
19C2×#121×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C2×C4×D4×C73C2211yescharacteristic
22#465×C73—24no—
23C4×SD16×C73—24no—
24C2×#107×C73C2211yescharacteristic
25C2×#107×C73C2211yescharacteristic
26C2×#106×C73C2211yescharacteristic
27C2×#106×C73C2211yescharacteristic
28C2×#106×C73C2211yescharacteristic
29C2×#103×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#102×C73C2211yescharacteristic
33C2×#102×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×C22⋊C8×C73C2211yescharacteristic
36C2×C4×C8×C73C2211yescharacteristic
37C2×C4×C8×C73C2211yescharacteristic
38#400×C73—21no—
39#397×C73—21no—
40#397×C73—21no—
41#394×C73—21no—
42#391×C73C2211yescharacteristic
43#390×C73C2211yescharacteristic
44#389×C73C2211yescharacteristic
45#389×C73C2211yescharacteristic
46#388×C73—21no—
47#387×C73—21no—
48#386×C73—21no—
49#382×C73C2211yescharacteristic
50#382×C73C2211yescharacteristic
51#381×C73—21no—
52#380×C73C2211yescharacteristic
53#380×C73C2211yescharacteristic
54C4×C22⋊C4×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73C2311yescharacteristic
62C22×D4×C73—21no—
63C22×D4×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C23×C4×C73C2311yescharacteristic
66C2×SD16×C73—22no—
67C2×SD16×C73—22no—
68C2×SD16×C73D414yes—
69C22×C8×C73—22no—
70C22×C8×C73—22no—
71C22×C8×C73—22no—
72C22×C8×C73C2311yescharacteristic
73C22×C8×C73C2311yescharacteristic
74C22×C8×C73C2311yescharacteristic
75C22×C8×C73C2311yescharacteristic
76C22⋊Q8×C73—22no—
77C22⋊Q8×C73—41no—
78#121×C73—22no—
79#121×C73—41no—
80C4×Q8×C73—22no—
81C4×Q8×C73—41no—
82C4×D4×C73—22no—
83C4×D4×C73—41no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73—21no—
87C2×C4⋊C4×C73—21no—
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73D411yescharacteristic
102C2×C22⋊C4×C73D411yescharacteristic
103C2×C42×C73—21no—
104C2×C42×C73C2311yescharacteristic
105C2×C42×C73C2311yescharacteristic
106#107×C73—41no—
107#107×C73—41no—
108#106×C73—22no—
109#106×C73—22no—
110#106×C73—22no—
111#103×C73—22no—
112#103×C73—22no—
113#103×C73—22no—
114#102×C73—22no—
115#102×C73—22no—
116#102×C73—22no—
117C22⋊C8×C73—22no—
118C4×C8×C73—22no—
119C4×C8×C73—22no—
120#95×C73—21no—
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—
130#95×C73D411yescharacteristic
131#95×C73D411yescharacteristic
132C24×C73—21no—
133C24×C73C2×D411yescharacteristic
134C2×Q8×C73—21no—
135C2×Q8×C73—21no—
136C2×Q8×C73—21no—
137C2×Q8×C73—21no—
138C2×Q8×C73—21no—
139C2×Q8×C73C2×D412yes—
140C2×D4×C73—21no—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—21no—
144C2×D4×C73—21no—
145C2×D4×C73—42no—
146C2×D4×C73—42no—
147C2×D4×C73—81no—
148C2×D4×C73C2×D412yes—
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—21no—
160C22×C4×C73—21no—
161C22×C4×C73—21no—
162C22×C4×C73—42no—
163C22×C4×C73—42no—
164C22×C4×C73—81no—
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2×D411yescharacteristic
167C22×C4×C73C2×D411yescharacteristic
168C22×C4×C73C2×D411yescharacteristic
169C22×C4×C73C2×D411yescharacteristic
170C22×C4×C73C2411yescharacteristic
171SD16×C73—28no—
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—44no—
181C2×C8×C73C2×D412yes—
182C2×C8×C73#4112yes—
183C2×C8×C73#4112yes—
184C2×C8×C73#4112yes—
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—21no—
196C4⋊C4×C73—21no—
197C4⋊C4×C73—42no—
198C4⋊C4×C73—42no—
199C4⋊C4×C73—42no—
200C4⋊C4×C73—81no—
201C22⋊C4×C73—22no—
202C22⋊C4×C73—22no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—42no—
206C22⋊C4×C73—42no—
207C22⋊C4×C73—81no—
208C22⋊C4×C73—81no—
209C22⋊C4×C73—81no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—21no—
213C42×C73—21no—
214C42×C73—42no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73—21no—
220C23×C73—21no—
221C23×C73—22no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73—41no—
226C23×C73—41no—
227C23×C73—41no—
228C23×C73#13512yes—
229C23×C73C22×D411yescharacteristic
230Q8×C73—22no—
231Q8×C73—22no—
232Q8×C73—41no—
233Q8×C73—41no—
234D4×C73—22no—
235D4×C73—22no—
236D4×C73—41no—
237D4×C73—41no—
238D4×C73—84no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—22no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
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—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—41no—
277C2×C4×C73—41no—
278C2×C4×C73—84no—
279C2×C4×C73#13512yes—
280C2×C4×C73C22×D411yescharacteristic
281C2×C4×C73C2×#4111yescharacteristic
282C2×C4×C73C2×#4111yescharacteristic
283C2×C4×C73C2×#4111yescharacteristic
284C2×C4×C73H(5,𝔽2)11yescharacteristic
285C2×C4×C732−1+411yescharacteristic
286C8×C73—22no—
287C8×C73—41no—
288C8×C73—41no—
289C8×C73#12314yes—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—22no—
293C22×C73—41no—
294C22×C73—41no—
295C22×C73—41no—
296C22×C73—41no—
297C22×C73—42no—
298C22×C73—42no—
299C22×C73—42no—
300C22×C73—81no—
301C22×C73—81no—
302C22×C73—81no—
303C22×C73—81no—
304C22×C73#53211yescharacteristic
305C22×C73D4211yescharacteristic
306C22×C73#54711yescharacteristic
307C22×C73C2×#13511yescharacteristic
308C22×C73C2×#13511yescharacteristic
309C22×C73#57711yescharacteristic
310C22×C73#57711yescharacteristic
311C4×C73—22no—
312C4×C73—41no—
313C4×C73—41no—
314C4×C73—41no—
315C4×C73—42no—
316C4×C73—41no—
317C4×C73—81no—
318C4×C73—81no—
319C4×C73—81no—
320C4×C73—81no—
321C4×C73—81no—
322C4×C73—81no—
323C4×C73C2×#12311yescharacteristic
324C4×C73#54211yescharacteristic
325C4×C73#54711yescharacteristic
326C4×C73#55311yescharacteristic
327#25031C7311yesmaximal, characteristic, direct product factor, Sylow
328C2×C73—42no—
329C2×C73—82no—
330C2×C73#242211yescharacteristic
331C2×C73#316811yescharacteristic
332C2×C73#317411yescharacteristic
333C2×C73#328211yescharacteristic
334C2×C73#328211yescharacteristic
335C2×C73#333711yescharacteristic
336C2×C73#334011yescharacteristic
337C2×#465C2×C7311yescharacteristic
338C2×C4×SD16C2×C7311yescharacteristic, complemented
339#2421C2×C7311yescharacteristic, complemented
340#2420C2×C7311yescharacteristic
341#2074C2×C7311yescharacteristic, complemented
342#2073C2×C7311yescharacteristic, complemented
343#2036C2×C7311yescharacteristic, complemented
344#2033C2×C7311yescharacteristic
345#1968C2×C7311yescharacteristic, complemented
346#1941C2×C7311yescharacteristic, complemented
347#1863C2×C7311yescharacteristic, complemented
348#1862C2×C7311yescharacteristic, complemented
349#1846C2×C7311yescharacteristic, complemented
350#1807C2×C7311yescharacteristic, complemented
351C8×C22⋊C4C2×C7311yescharacteristic, complemented
352C73#2503111yescharacteristic, direct product factor, Sylow
353C22×SD16C22×C7311yescharacteristic
354C23×C8C22×C7311yescharacteristic
355C2×C22⋊Q8C22×C7311yescharacteristic
356C2×#121C22×C7311yescharacteristic
357C2×C4×Q8C22×C7311yescharacteristic
358C2×C4×D4C22×C7311yescharacteristic
359#465—24no—
360C4×SD16—24no—
361C2×#107C22×C7311yescharacteristic
362C2×#107C22×C7311yescharacteristic
363C2×#106C22×C7311yescharacteristic
364C2×#106C22×C7311yescharacteristic
365C2×#106C22×C7311yescharacteristic
366C2×#103C22×C7311yescharacteristic
367C2×#103C22×C7311yescharacteristic
368C2×#103C22×C7311yescharacteristic
369C2×#102C22×C7311yescharacteristic
370C2×#102C22×C7311yescharacteristic
371C2×#102C22×C7311yescharacteristic
372C2×C22⋊C8C22×C7311yescharacteristic
373C2×C4×C8C22×C7311yescharacteristic
374C2×C4×C8C22×C7311yescharacteristic
375#400—21no—
376#397—21no—
377#397—21no—
378#394—21no—
379#391C22×C7311yescharacteristic
380#390C22×C7311yescharacteristic
381#389C22×C7311yescharacteristic
382#389C22×C7311yescharacteristic
383#388—21no—
384#387—21no—
385#386—21no—
386#382C22×C7311yescharacteristic
387#382C22×C7311yescharacteristic
388#381—21no—
389#380C22×C7311yescharacteristic
390#380C22×C7311yescharacteristic
391C4×C22⋊C4C22×C7311yescharacteristic
392#340C22×C7311yescharacteristic
393#340C22×C7311yescharacteristic
394#340C22×C7311yescharacteristic
395#340C22×C7311yescharacteristic
396#336C22×C7311yescharacteristic
397#336C22×C7311yescharacteristic
398C22×Q8C23×C7311yescharacteristic
399C22×D4—21no—
400C22×D4C23×C7311yescharacteristic
401C23×C4—21no—
402C23×C4C23×C7311yescharacteristic
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16D4×C7314yes—
406C22×C8—22no—
407C22×C8—22no—
408C22×C8—22no—
409C22×C8C23×C7311yescharacteristic
410C22×C8C23×C7311yescharacteristic
411C22×C8C23×C7311yescharacteristic
412C22×C8C23×C7311yescharacteristic
413C22⋊Q8—22no—
414C22⋊Q8—41no—
415#121—22no—
416#121—41no—
417C4×Q8—22no—
418C4×Q8—41no—
419C4×D4—22no—
420C4×D4—41no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C4⋊C4C23×C7311yescharacteristic
427C2×C4⋊C4C23×C7311yescharacteristic
428C2×C4⋊C4C23×C7311yescharacteristic
429C2×C4⋊C4C23×C7311yescharacteristic
430C2×C4⋊C4C23×C7311yescharacteristic
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⋊C4—21no—
438C2×C22⋊C4D4×C7311yescharacteristic
439C2×C22⋊C4D4×C7311yescharacteristic
440C2×C42—21no—
441C2×C42C23×C7311yescharacteristic
442C2×C42C23×C7311yescharacteristic
443#107—41no—
444#107—41no—
445#106—22no—
446#106—22no—
447#106—22no—
448#103—22no—
449#103—22no—
450#103—22no—
451#102—22no—
452#102—22no—
453#102—22no—
454C22⋊C8—22no—
455C4×C8—22no—
456C4×C8—22no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95D4×C7311yescharacteristic
468#95D4×C7311yescharacteristic
469C24—21no—
470C24C2×D4×C7311yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C7312yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—81no—
485C2×D4C2×D4×C7312yes—
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—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—81no—
502C22×C4C2×D4×C7311yescharacteristic
503C22×C4C2×D4×C7311yescharacteristic
504C22×C4C2×D4×C7311yescharacteristic
505C22×C4C2×D4×C7311yescharacteristic
506C22×C4C2×D4×C7311yescharacteristic
507C22×C4C24×C7311yescharacteristic
508SD16—28no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—44no—
518C2×C8C2×D4×C7312yes—
519C2×C8#41×C7312yes—
520C2×C8#41×C7312yes—
521C2×C8#41×C7312yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—42no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—22no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23#135×C7312yes—
566C23C22×D4×C7311yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—41no—
574D4—41no—
575D4—84no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
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—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4#135×C7312yes—
617C2×C4C22×D4×C7311yescharacteristic
618C2×C4C2×#41×C7311yescharacteristic
619C2×C4C2×#41×C7311yescharacteristic
620C2×C4C2×#41×C7311yescharacteristic
621C2×C4H(5,𝔽2)×C7311yescharacteristic
622C2×C42−1+4×C7311yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8#123×C7314yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22#532×C7311yescharacteristic
642C22D42×C7311yescharacteristic
643C22#547×C7311yescharacteristic
644C22C2×#135×C7311yescharacteristic
645C22C2×#135×C7311yescharacteristic
646C22#577×C7311yescharacteristic
647C22#577×C7311yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C2×#123×C7311yescharacteristic
661C4#542×C7311yescharacteristic
662C4#547×C7311yescharacteristic
663C4#553×C7311yescharacteristic
664C2—42no—
665C2—82no—
666C2C73×#242211yescharacteristic
667C2C73×#316811yescharacteristic
668C2C73×#317411yescharacteristic
669C2C73×#328211yescharacteristic
670C2C73×#328211yescharacteristic
671C2C73×#333711yescharacteristic
672C2C73×#334011yescharacteristic
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
2. C2×C4×SD16×C73C2semidirect
3. C73×#2421C2semidirect
5. C73×#2074C2semidirect
6. C73×#2073C2semidirect
7. C73×#2036C2semidirect
9. C73×#1968C2semidirect
10. C73×#1941C2semidirect
11. C73×#1863C2semidirect
12. C73×#1862C2semidirect
13. C73×#1846C2semidirect
14. C73×#1807C2semidirect
15. C8×C22⋊C4×C73C2semidirect
327. #25031C73direct (N × H)
338. C2×C4×SD16C2×C73semidirect
339. #2421C2×C73semidirect
341. #2074C2×C73semidirect
342. #2073C2×C73semidirect
343. #2036C2×C73semidirect
345. #1968C2×C73semidirect
346. #1941C2×C73semidirect
347. #1863C2×C73semidirect
348. #1862C2×C73semidirect
349. #1846C2×C73semidirect
350. #1807C2×C73semidirect
351. C8×C22⋊C4C2×C73semidirect
352. C73#25031direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#465×C732
C2×C4×SD16×C732
C73×#24212
C73×#24202
C73×#20742
C73×#20732
C73×#20362
C73×#20332
C73×#19682
C73×#19412
C73×#18632
C73×#18622
C73×#18462
C73×#18072
C8×C22⋊C4×C732
#2503173