Finite Group Databasebeta

← C73×#26480 #32935884

Subgroups — C73×#26480 #32935884

Order 18688.

850 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#498×C73C211yesmaximal, characteristic, complemented
2C2×C4×SD16×C73C211yesmaximal, characteristic
3C73×#2452C211yesmaximal, characteristic
4C73×#2451C211yesmaximal, characteristic, complemented
5C73×#2066C211yesmaximal, characteristic, complemented
6C73×#2065C211yesmaximal, characteristic
7C73×#2024C211yesmaximal, characteristic, complemented
8C73×#2023C211yesmaximal, characteristic
9C73×#1968C211yesmaximal, characteristic
10C73×#1968C211yesmaximal, characteristic
11C73×#1941C211yesmaximal, characteristic, complemented
12C73×#1941C211yesmaximal, characteristic, complemented
13C73×#1865C211yesmaximal, characteristic, complemented
14C73×#1864C211yesmaximal, characteristic
15C8×C4⋊C4×C73C211yesmaximal, characteristic, complemented
16C22×SD16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C4⋊Q8×C73C2211yescharacteristic
19C2×C22⋊Q8×C73—21no—
20C2×C4×Q8×C73C2211yescharacteristic
21C2×C4×D4×C73C2211yescharacteristic
22#498×C73—24no—
23C4×SD16×C73—24no—
24C2×#106×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×#106×C73C2211yescharacteristic
27C2×#106×C73C2211yescharacteristic
28C2×#106×C73C2211yescharacteristic
29C2×C4⋊C8×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#103×C73C2211yescharacteristic
33C2×#102×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×#102×C73C2211yescharacteristic
36C2×C4×C8×C73C2211yescharacteristic
37C2×C4×C8×C73C2211yescharacteristic
38C2×C4×C8×C73C2211yescharacteristic
39#398×C73—21no—
40#396×C73—21no—
41#395×C73—21no—
42#393×C73—21no—
43#391×C73—21no—
44#391×C73C2211yescharacteristic
45#391×C73C2211yescharacteristic
46#390×C73C2211yescharacteristic
47#390×C73C2211yescharacteristic
48#389×C73C2211yescharacteristic
49#389×C73C2211yescharacteristic
50#389×C73C2211yescharacteristic
51#389×C73C2211yescharacteristic
52#387×C73—21no—
53#385×C73—21no—
54C4×C4⋊C4×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#340×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73—21no—
62C22×Q8×C73—21no—
63C22×Q8×C73C2311yescharacteristic
64C22×D4×C73C2311yescharacteristic
65C23×C4×C73—21no—
66C2×SD16×C73—22no—
67C2×SD16×C73—22no—
68C2×SD16×C73Q814yescomplemented
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C22×C8×C73C2311yescharacteristic
73C4⋊Q8×C73—22no—
74C4⋊Q8×C73—22no—
75C4⋊Q8×C73—41no—
76C4⋊Q8×C73—41no—
77C22⋊Q8×C73—44no—
78C4×Q8×C73—22no—
79C4×Q8×C73—41no—
80C4×D4×C73—22no—
81C4×D4×C73—41no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73—21no—
87C2×C4⋊C4×C73—21no—
88C2×C4⋊C4×C73—21no—
89C2×C4⋊C4×C73D411yescharacteristic
90C2×C4⋊C4×C73D411yescharacteristic
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×C42×C73—21no—
103C2×C42×C73C2311yescharacteristic
104C2×C42×C73C2311yescharacteristic
105C2×C42×C73C2311yescharacteristic
106#106×C73—22no—
107#106×C73—22no—
108#106×C73—22no—
109#106×C73—22no—
110#106×C73D414yes—
111C4⋊C8×C73—22no—
112#103×C73—22no—
113#103×C73—22no—
114#103×C73—41no—
115#102×C73—22no—
116#102×C73—22no—
117#102×C73—41no—
118C4×C8×C73—22no—
119C4×C8×C73—22no—
120C4×C8×C73—22no—
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×C73D411yescharacteristic
130#95×C73D411yescharacteristic
131C24×C73—21no—
132C2×Q8×C73—21no—
133C2×Q8×C73—21no—
134C2×Q8×C73—21no—
135C2×Q8×C73—21no—
136C2×Q8×C73—21no—
137C2×Q8×C73—42no—
138C2×Q8×C73—42no—
139C2×Q8×C73—42no—
140C2×Q8×C73—42no—
141C2×Q8×C73—81no—
142C2×Q8×C73—81no—
143C2×Q8×C73C2×Q812yes—
144C2×D4×C73—21no—
145C2×D4×C73—21no—
146C2×D4×C73—21no—
147C2×D4×C73—21no—
148C2×D4×C73—21no—
149C2×D4×C73C2×Q812yes—
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—42no—
158C22×C4×C73—42no—
159C22×C4×C73—81no—
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C22×C4×C73C2×D411yescharacteristic
165C22×C4×C73C2×D411yescharacteristic
166C22×C4×C73C2411yescharacteristic
167SD16×C73—28no—
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×C73C2×D412yes—
177C2×C8×C73C2×Q812yes—
178C2×C8×C73#4112yes—
179C2×C8×C73#4112yes—
180C4⋊C4×C73—22no—
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—21no—
191C4⋊C4×C73—42no—
192C4⋊C4×C73—42no—
193C4⋊C4×C73—42no—
194C4⋊C4×C73—42no—
195C4⋊C4×C73—42no—
196C4⋊C4×C73—81no—
197C4⋊C4×C73—81no—
198C4⋊C4×C73SD1614yescomplemented
199C4⋊C4×C73C2×D412yes—
200C4⋊C4×C73C2×D412yes—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—81no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—42no—
213C23×C73—22no—
214C23×C73—41no—
215C23×C73—41no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73C22×D411yescharacteristic
221Q8×C73—22no—
222Q8×C73—22no—
223Q8×C73—41no—
224Q8×C73—41no—
225Q8×C73—84no—
226Q8×C73—84no—
227D4×C73—22no—
228D4×C73—22no—
229D4×C73—41no—
230D4×C73—41no—
231C2×C4×C73—21no—
232C2×C4×C73—21no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
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—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—41no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
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—84no—
267C2×C4×C73C2×SD1612yes—
268C2×C4×C73C2×SD1612yes—
269C2×C4×C73C2×SD1612yes—
270C2×C4×C73#13512yes—
271C2×C4×C73C22×D411yescharacteristic
272C2×C4×C73C22×Q811yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73H(5,𝔽2)11yescharacteristic
276C2×C4×C732−1+411yescharacteristic
277C8×C73—22no—
278C8×C73—41no—
279C8×C73—41no—
280C8×C73C22⋊Q814yescomplemented
281C22×C73—42no—
282C22×C73—42no—
283C22×C73—42no—
284C22×C73—81no—
285C22×C73—81no—
286C22×C73—81no—
287C22×C73—81no—
288C22×C73#53211yescharacteristic
289C22×C73D4211yescharacteristic
290C22×C73D4×Q811yescharacteristic
291C22×C73C22×SD1611yescharacteristic
292C22×C73C2×#13511yescharacteristic
293C22×C73#57711yescharacteristic
294C22×C73#57711yescharacteristic
295C4×C73—22no—
296C4×C73—22no—
297C4×C73—22no—
298C4×C73—22no—
299C4×C73—41no—
300C4×C73—42no—
301C4×C73—42no—
302C4×C73—41no—
303C4×C73—42no—
304C4×C73—81no—
305C4×C73—81no—
306C4×C73—81no—
307C4×C73—81no—
308C4×C73C2×C22⋊Q811yescharacteristic
309C4×C73#54211yescharacteristic
310C4×C73#54811yescharacteristic
311C4×C73#55411yescharacteristic
312#26480C7311yesmaximal, characteristic, direct product factor, Sylow
313C2×C73—82no—
314C2×C73#245211yescharacteristic
315C2×C73#316711yescharacteristic
316C2×C73#317311yescharacteristic
317C2×C73D4×SD1611yescharacteristic
318C2×C73#328211yescharacteristic
319C2×C73Q8×SD1611yescharacteristic
320C2×C73#338111yescharacteristic
321C2×#498C2×C7311yescharacteristic, complemented
322C2×C4×SD16C2×C7311yescharacteristic
323#2452C2×C7311yescharacteristic
324#2451C2×C7311yescharacteristic, complemented
325#2066C2×C7311yescharacteristic, complemented
326#2065C2×C7311yescharacteristic
327#2024C2×C7311yescharacteristic, complemented
328#2023C2×C7311yescharacteristic
329#1968C2×C7311yescharacteristic
330#1968C2×C7311yescharacteristic
331#1941C2×C7311yescharacteristic, complemented
332#1941C2×C7311yescharacteristic, complemented
333#1865C2×C7311yescharacteristic, complemented
334#1864C2×C7311yescharacteristic
335C8×C4⋊C4C2×C7311yescharacteristic, complemented
336C73#2648011yescharacteristic, direct product factor, Sylow
337C22×SD16C22×C7311yescharacteristic
338C2×C4⋊Q8C22×C7311yescharacteristic
339C2×C4⋊Q8C22×C7311yescharacteristic
340C2×C22⋊Q8—21no—
341C2×C4×Q8C22×C7311yescharacteristic
342C2×C4×D4C22×C7311yescharacteristic
343#498—24no—
344C4×SD16—24no—
345C2×#106C22×C7311yescharacteristic
346C2×#106C22×C7311yescharacteristic
347C2×#106C22×C7311yescharacteristic
348C2×#106C22×C7311yescharacteristic
349C2×#106C22×C7311yescharacteristic
350C2×C4⋊C8C22×C7311yescharacteristic
351C2×#103C22×C7311yescharacteristic
352C2×#103C22×C7311yescharacteristic
353C2×#103C22×C7311yescharacteristic
354C2×#102C22×C7311yescharacteristic
355C2×#102C22×C7311yescharacteristic
356C2×#102C22×C7311yescharacteristic
357C2×C4×C8C22×C7311yescharacteristic
358C2×C4×C8C22×C7311yescharacteristic
359C2×C4×C8C22×C7311yescharacteristic
360#398—21no—
361#396—21no—
362#395—21no—
363#393—21no—
364#391—21no—
365#391C22×C7311yescharacteristic
366#391C22×C7311yescharacteristic
367#390C22×C7311yescharacteristic
368#390C22×C7311yescharacteristic
369#389C22×C7311yescharacteristic
370#389C22×C7311yescharacteristic
371#389C22×C7311yescharacteristic
372#389C22×C7311yescharacteristic
373#387—21no—
374#385—21no—
375C4×C4⋊C4C22×C7311yescharacteristic
376#340C22×C7311yescharacteristic
377#340C22×C7311yescharacteristic
378#340C22×C7311yescharacteristic
379#340C22×C7311yescharacteristic
380#336C22×C7311yescharacteristic
381#336C22×C7311yescharacteristic
382C22×Q8—21no—
383C22×Q8—21no—
384C22×Q8C23×C7311yescharacteristic
385C22×D4C23×C7311yescharacteristic
386C23×C4—21no—
387C2×SD16—22no—
388C2×SD16—22no—
389C2×SD16Q8×C7314yescomplemented
390C22×C8C23×C7311yescharacteristic
391C22×C8C23×C7311yescharacteristic
392C22×C8C23×C7311yescharacteristic
393C22×C8C23×C7311yescharacteristic
394C4⋊Q8—22no—
395C4⋊Q8—22no—
396C4⋊Q8—41no—
397C4⋊Q8—41no—
398C22⋊Q8—44no—
399C4×Q8—22no—
400C4×Q8—41no—
401C4×D4—22no—
402C4×D4—41no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4D4×C7311yescharacteristic
411C2×C4⋊C4D4×C7311yescharacteristic
412C2×C4⋊C4C23×C7311yescharacteristic
413C2×C4⋊C4C23×C7311yescharacteristic
414C2×C4⋊C4C23×C7311yescharacteristic
415C2×C4⋊C4C23×C7311yescharacteristic
416C2×C4⋊C4C23×C7311yescharacteristic
417C2×C4⋊C4C23×C7311yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C42—21no—
424C2×C42C23×C7311yescharacteristic
425C2×C42C23×C7311yescharacteristic
426C2×C42C23×C7311yescharacteristic
427#106—22no—
428#106—22no—
429#106—22no—
430#106—22no—
431#106D4×C7314yes—
432C4⋊C8—22no—
433#103—22no—
434#103—22no—
435#103—41no—
436#102—22no—
437#102—22no—
438#102—41no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—22no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95D4×C7311yescharacteristic
451#95D4×C7311yescharacteristic
452C24—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—81no—
463C2×Q8—81no—
464C2×Q8C2×Q8×C7312yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C2×Q8×C7312yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4C2×D4×C7311yescharacteristic
482C22×C4C2×D4×C7311yescharacteristic
483C22×C4C2×D4×C7311yescharacteristic
484C22×C4C2×D4×C7311yescharacteristic
485C22×C4C2×D4×C7311yescharacteristic
486C22×C4C2×D4×C7311yescharacteristic
487C22×C4C24×C7311yescharacteristic
488SD16—28no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8C2×D4×C7312yes—
498C2×C8C2×Q8×C7312yes—
499C2×C8#41×C7312yes—
500C2×C8#41×C7312yes—
501C4⋊C4—22no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4SD16×C7314yescomplemented
520C4⋊C4C2×D4×C7312yes—
521C4⋊C4C2×D4×C7312yes—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—81no—
527C42—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—42no—
534C23—22no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23C22×D4×C7311yescharacteristic
542Q8—22no—
543Q8—22no—
544Q8—41no—
545Q8—41no—
546Q8—84no—
547Q8—84no—
548D4—22no—
549D4—22no—
550D4—41no—
551D4—41no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4C2×SD16×C7312yes—
589C2×C4C2×SD16×C7312yes—
590C2×C4C2×SD16×C7312yes—
591C2×C4#135×C7312yes—
592C2×C4C22×D4×C7311yescharacteristic
593C2×C4C22×Q8×C7311yescharacteristic
594C2×C4C2×#41×C7311yescharacteristic
595C2×C4C2×#41×C7311yescharacteristic
596C2×C4H(5,𝔽2)×C7311yescharacteristic
597C2×C42−1+4×C7311yescharacteristic
598C8—22no—
599C8—41no—
600C8—41no—
601C8C22⋊Q8×C7314yescomplemented
602C22—42no—
603C22—42no—
604C22—42no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22#532×C7311yescharacteristic
610C22D42×C7311yescharacteristic
611C22D4×Q8×C7311yescharacteristic
612C22C22×SD16×C7311yescharacteristic
613C22C2×#135×C7311yescharacteristic
614C22#577×C7311yescharacteristic
615C22#577×C7311yescharacteristic
616C4—22no—
617C4—22no—
618C4—22no—
619C4—22no—
620C4—42no—
621C4—42no—
622C4—41no—
623C4—42no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4C2×C22⋊Q8×C7311yescharacteristic
630C4#542×C7311yescharacteristic
631C4#548×C7311yescharacteristic
632C4#554×C7311yescharacteristic
633C2—82no—
634C2C73×#245211yescharacteristic
635C2C73×#316711yescharacteristic
636C2C73×#317311yescharacteristic
637C2D4×SD16×C7311yescharacteristic
638C2C73×#328211yescharacteristic
639C2Q8×SD16×C7311yescharacteristic
640C2C73×#338111yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC22×D4×C73C23
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. C2×#498×C73C2semidirect
4. C73×#2451C2semidirect
5. C73×#2066C2semidirect
7. C73×#2024C2semidirect
11. C73×#1941C2semidirect
12. C73×#1941C2semidirect
13. C73×#1865C2semidirect
15. C8×C4⋊C4×C73C2semidirect
68. C2×SD16×C73Q8semidirect
198. C4⋊C4×C73SD16semidirect
280. C8×C73C22⋊Q8semidirect
312. #26480C73direct (N × H)
321. C2×#498C2×C73semidirect
324. #2451C2×C73semidirect
325. #2066C2×C73semidirect
327. #2024C2×C73semidirect
331. #1941C2×C73semidirect
332. #1941C2×C73semidirect
333. #1865C2×C73semidirect
335. C8×C4⋊C4C2×C73semidirect
336. C73#26480direct (N × H)
389. C2×SD16Q8×C73semidirect
519. C4⋊C4SD16×C73semidirect
601. C8C22⋊Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#498×C732
C2×C4×SD16×C732
C73×#24522
C73×#24512
C73×#20662
C73×#20652
C73×#20242
C73×#20232
C73×#19682
C73×#19412
C73×#18652
C73×#18642
C8×C4⋊C4×C732
#2648073