Finite Group Databasebeta

← C73×#26397 #32935801

Subgroups — C73×#26397 #32935801

Order 18688.

858 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#477×C73C211yesmaximal, characteristic, complemented
2C2×#440×C73C211yesmaximal, characteristic
3C73×#2452C211yesmaximal, characteristic
4Q8×C4⋊C4×C73C211yesmaximal, characteristic, complemented
5C73×#2093C211yesmaximal, characteristic
6C73×#2083C211yesmaximal, characteristic, complemented
7C73×#2065C211yesmaximal, characteristic
8C73×#2057C211yesmaximal, characteristic, complemented
9C73×#1944C211yesmaximal, characteristic, complemented
10C73×#1917C211yesmaximal, characteristic, complemented
11C73×#1880C211yesmaximal, characteristic
12C73×#1880C211yesmaximal, characteristic
13C73×#1865C211yesmaximal, characteristic, complemented
14C73×#1863C211yesmaximal, characteristic, complemented
15C73×#1862C211yesmaximal, characteristic
16C22×SD16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73—21no—
19C2×C4×Q8×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C2×C4×Q8×C73C2211yescharacteristic
22C2×C4×D4×C73C2211yescharacteristic
23#477×C73—24no—
24#440×C73—24no—
25C2×#107×C73C2211yescharacteristic
26C2×#107×C73C2211yescharacteristic
27C2×#107×C73C2211yescharacteristic
28C2×#107×C73C2211yescharacteristic
29C2×#106×C73C2211yescharacteristic
30C2×C4⋊C8×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#103×C73C2211yescharacteristic
33C2×#103×C73C2211yescharacteristic
34C2×#102×C73C2211yescharacteristic
35C2×#102×C73C2211yescharacteristic
36C2×#102×C73C2211yescharacteristic
37C2×#97×C73C2211yescharacteristic
38#396×C73—21no—
39#393×C73—21no—
40#390×C73C2211yescharacteristic
41#390×C73C2211yescharacteristic
42#389×C73—21no—
43#389×C73—21no—
44#389×C73C2211yescharacteristic
45#389×C73C2211yescharacteristic
46#389×C73C2211yescharacteristic
47#389×C73C2211yescharacteristic
48#385×C73—21no—
49#384×C73—21no—
50#384×C73C2211yescharacteristic
51C4×C4⋊C4×C73—21no—
52C4×C4⋊C4×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73—21no—
62C22×Q8×C73C2311yescharacteristic
63C22×D4×C73C2311yescharacteristic
64C23×C4×C73—21no—
65C2×SD16×C73—22no—
66C2×SD16×C73—22no—
67C2×SD16×C73Q814yescomplemented
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C4⋊Q8×C73—22no—
73C4⋊Q8×C73—41no—
74C22⋊Q8×C73—44no—
75C4×Q8×C73—22no—
76C4×Q8×C73—22no—
77C4×Q8×C73—22no—
78C4×Q8×C73—22no—
79C4×Q8×C73—41no—
80C4×Q8×C73—41no—
81C4×D4×C73—22no—
82C4×D4×C73—41no—
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×C73—21no—
90C2×C4⋊C4×C73—21no—
91C2×C4⋊C4×C73—21no—
92C2×C4⋊C4×C73—21no—
93C2×C4⋊C4×C73D411yescharacteristic
94C2×C4⋊C4×C73D411yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
97C2×C4⋊C4×C73C2311yescharacteristic
98C2×C4⋊C4×C73C2311yescharacteristic
99C2×C4⋊C4×C73C2311yescharacteristic
100C2×C4⋊C4×C73C2311yescharacteristic
101C2×C22⋊C4×C73—21no—
102C2×C22⋊C4×C73—21no—
103C2×C22⋊C4×C73—21no—
104C2×C22⋊C4×C73—21no—
105C2×C22⋊C4×C73—21no—
106C2×C42×C73—21no—
107C2×C42×C73—21no—
108C2×C42×C73—21no—
109C2×C42×C73C2311yescharacteristic
110C2×C42×C73C2311yescharacteristic
111C2×C42×C73C2311yescharacteristic
112#107×C73—22no—
113#107×C73—22no—
114#107×C73—22no—
115#107×C73—41no—
116#106×C73—22no—
117C4⋊C8×C73—22no—
118#103×C73—22no—
119#103×C73—22no—
120#103×C73D414yes—
121#102×C73—22no—
122#102×C73—22no—
123#102×C73—41no—
124#97×C73—22no—
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—42no—
136C2×Q8×C73—42no—
137C2×Q8×C73—81no—
138C2×Q8×C73C2×D412yes—
139C2×Q8×C73C2×Q812yes—
140C2×Q8×C73#4112yes—
141C2×D4×C73—21no—
142C2×D4×C73—21no—
143C2×D4×C73—21no—
144C2×D4×C73—21no—
145C2×D4×C73—21no—
146C2×D4×C73C2×Q812yes—
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—42no—
155C22×C4×C73—42no—
156C22×C4×C73—81no—
157C22×C4×C73C2×D411yescharacteristic
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2411yescharacteristic
164SD16×C73—28no—
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×C73C2×D412yes—
176C2×C8×C73C2×Q812yes—
177C4⋊C4×C73—24no—
178C4⋊C4×C73—22no—
179C4⋊C4×C73—22no—
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—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—21no—
189C4⋊C4×C73—21no—
190C4⋊C4×C73—42no—
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×C73—81no—
199C4⋊C4×C73C2×D412yes—
200C4⋊C4×C73#4112yes—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—81no—
206C42×C73—24no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—21no—
211C42×C73—21no—
212C42×C73—21no—
213C42×C73—42no—
214C42×C73—42no—
215C23×C73—22no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73C22×D411yescharacteristic
223Q8×C73—22no—
224Q8×C73—22no—
225Q8×C73—22no—
226Q8×C73—84no—
227Q8×C73C22⋊Q814yescomplemented
228D4×C73—22no—
229D4×C73—22no—
230D4×C73—41no—
231D4×C73—41no—
232C2×C4×C73—21no—
233C2×C4×C73—22no—
234C2×C4×C73—21no—
235C2×C4×C73—22no—
236C2×C4×C73—22no—
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—22no—
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—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—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—84no—
270C2×C4×C73AGL(1,ℤ/8)12yes—
271C2×C4×C73#13712yes—
272C2×C4×C73C22×D411yescharacteristic
273C2×C4×C73C22×Q811yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×C4×C73H(5,𝔽2)11yescharacteristic
277C2×C4×C732−1+411yescharacteristic
278C8×C73—22no—
279C8×C73—22no—
280C8×C73—41no—
281C8×C73—41no—
282C22×C73—42no—
283C22×C73—42no—
284C22×C73—42no—
285C22×C73—81no—
286C22×C73—81no—
287C22×C73—81no—
288C22×C73—81no—
289C22×C73#52511yescharacteristic
290C22×C73D4211yescharacteristic
291C22×C73D4×Q811yescharacteristic
292C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
293C22×C73C2×#13711yescharacteristic
294C22×C73#57611yescharacteristic
295C22×C73#57811yescharacteristic
296C4×C73—22no—
297C4×C73—24no—
298C4×C73—22no—
299C4×C73—41no—
300C4×C73—42no—
301C4×C73—41no—
302C4×C73—41no—
303C4×C73—41no—
304C4×C73—42no—
305C4×C73—81no—
306C4×C73—81no—
307C4×C73—81no—
308C4×C73—81no—
309C4×C73C2×C22⋊Q811yescharacteristic
310C4×C73#53911yescharacteristic
311C4×C73#54711yescharacteristic
312C4×C73#55411yescharacteristic
313#26397C7311yesmaximal, characteristic, direct product factor, Sylow
314C2×C73—82no—
315C2×C73#244911yescharacteristic
316C2×C73#311211yescharacteristic
317C2×C73#312411yescharacteristic
318C2×C73#327011yescharacteristic
319C2×C73#327411yescharacteristic
320C2×C73#338511yescharacteristic
321C2×C73#338611yescharacteristic
322C2×#477C2×C7311yescharacteristic, complemented
323C2×#440C2×C7311yescharacteristic
324#2452C2×C7311yescharacteristic
325Q8×C4⋊C4C2×C7311yescharacteristic, complemented
326#2093C2×C7311yescharacteristic
327#2083C2×C7311yescharacteristic, complemented
328#2065C2×C7311yescharacteristic
329#2057C2×C7311yescharacteristic, complemented
330#1944C2×C7311yescharacteristic, complemented
331#1917C2×C7311yescharacteristic, complemented
332#1880C2×C7311yescharacteristic
333#1880C2×C7311yescharacteristic
334#1865C2×C7311yescharacteristic, complemented
335#1863C2×C7311yescharacteristic, complemented
336#1862C2×C7311yescharacteristic
337C73#2639711yescharacteristic, direct product factor, Sylow
338C22×SD16C22×C7311yescharacteristic
339C2×C4⋊Q8C22×C7311yescharacteristic
340C2×C22⋊Q8—21no—
341C2×C4×Q8C22×C7311yescharacteristic
342C2×C4×Q8C22×C7311yescharacteristic
343C2×C4×Q8C22×C7311yescharacteristic
344C2×C4×D4C22×C7311yescharacteristic
345#477—24no—
346#440—24no—
347C2×#107C22×C7311yescharacteristic
348C2×#107C22×C7311yescharacteristic
349C2×#107C22×C7311yescharacteristic
350C2×#107C22×C7311yescharacteristic
351C2×#106C22×C7311yescharacteristic
352C2×C4⋊C8C22×C7311yescharacteristic
353C2×#103C22×C7311yescharacteristic
354C2×#103C22×C7311yescharacteristic
355C2×#103C22×C7311yescharacteristic
356C2×#102C22×C7311yescharacteristic
357C2×#102C22×C7311yescharacteristic
358C2×#102C22×C7311yescharacteristic
359C2×#97C22×C7311yescharacteristic
360#396—21no—
361#393—21no—
362#390C22×C7311yescharacteristic
363#390C22×C7311yescharacteristic
364#389—21no—
365#389—21no—
366#389C22×C7311yescharacteristic
367#389C22×C7311yescharacteristic
368#389C22×C7311yescharacteristic
369#389C22×C7311yescharacteristic
370#385—21no—
371#384—21no—
372#384C22×C7311yescharacteristic
373C4×C4⋊C4—21no—
374C4×C4⋊C4C22×C7311yescharacteristic
375#340C22×C7311yescharacteristic
376#340C22×C7311yescharacteristic
377#340C22×C7311yescharacteristic
378#340C22×C7311yescharacteristic
379#336C22×C7311yescharacteristic
380#336C22×C7311yescharacteristic
381#336C22×C7311yescharacteristic
382#336C22×C7311yescharacteristic
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—41no—
396C22⋊Q8—44no—
397C4×Q8—22no—
398C4×Q8—22no—
399C4×Q8—22no—
400C4×Q8—22no—
401C4×Q8—41no—
402C4×Q8—41no—
403C4×D4—22no—
404C4×D4—41no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4D4×C7311yescharacteristic
416C2×C4⋊C4D4×C7311yescharacteristic
417C2×C4⋊C4C23×C7311yescharacteristic
418C2×C4⋊C4C23×C7311yescharacteristic
419C2×C4⋊C4C23×C7311yescharacteristic
420C2×C4⋊C4C23×C7311yescharacteristic
421C2×C4⋊C4C23×C7311yescharacteristic
422C2×C4⋊C4C23×C7311yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42C23×C7311yescharacteristic
432C2×C42C23×C7311yescharacteristic
433C2×C42C23×C7311yescharacteristic
434#107—22no—
435#107—22no—
436#107—22no—
437#107—41no—
438#106—22no—
439C4⋊C8—22no—
440#103—22no—
441#103—22no—
442#103D4×C7314yes—
443#102—22no—
444#102—22no—
445#102—41no—
446#97—22no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95D4×C7311yescharacteristic
452#95D4×C7311yescharacteristic
453C24—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—81no—
460C2×Q8C2×D4×C7312yes—
461C2×Q8C2×Q8×C7312yes—
462C2×Q8#41×C7312yes—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×Q8×C7312yes—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—81no—
479C22×C4C2×D4×C7311yescharacteristic
480C22×C4C2×D4×C7311yescharacteristic
481C22×C4C2×D4×C7311yescharacteristic
482C22×C4C2×D4×C7311yescharacteristic
483C22×C4C2×D4×C7311yescharacteristic
484C22×C4C2×D4×C7311yescharacteristic
485C22×C4C24×C7311yescharacteristic
486SD16—28no—
487C2×C8—21no—
488C2×C8—21no—
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—
499C4⋊C4—24no—
500C4⋊C4—22no—
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—42no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4—81no—
521C4⋊C4C2×D4×C7312yes—
522C4⋊C4#41×C7312yes—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—81no—
528C42—24no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—42no—
536C42—42no—
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23C22×D4×C7311yescharacteristic
545Q8—22no—
546Q8—22no—
547Q8—22no—
548Q8—84no—
549Q8C22⋊Q8×C7314yescomplemented
550D4—22no—
551D4—22no—
552D4—41no—
553D4—41no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
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—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—84no—
592C2×C4AGL(1,ℤ/8)×C7312yes—
593C2×C4#137×C7312yes—
594C2×C4C22×D4×C7311yescharacteristic
595C2×C4C22×Q8×C7311yescharacteristic
596C2×C4C2×#41×C7311yescharacteristic
597C2×C4C2×#41×C7311yescharacteristic
598C2×C4H(5,𝔽2)×C7311yescharacteristic
599C2×C42−1+4×C7311yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22#525×C7311yescharacteristic
612C22D42×C7311yescharacteristic
613C22D4×Q8×C7311yescharacteristic
614C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
615C22C2×#137×C7311yescharacteristic
616C22#576×C7311yescharacteristic
617C22#578×C7311yescharacteristic
618C4—24no—
619C4—22no—
620C4—22no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—42no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×C22⋊Q8×C7311yescharacteristic
632C4#539×C7311yescharacteristic
633C4#547×C7311yescharacteristic
634C4#554×C7311yescharacteristic
635C2—82no—
636C2C73×#244911yescharacteristic
637C2C73×#311211yescharacteristic
638C2C73×#312411yescharacteristic
639C2C73×#327011yescharacteristic
640C2C73×#327411yescharacteristic
641C2C73×#338511yescharacteristic
642C2C73×#338611yescharacteristic
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×#477×C73C2semidirect
4. Q8×C4⋊C4×C73C2semidirect
6. C73×#2083C2semidirect
8. C73×#2057C2semidirect
9. C73×#1944C2semidirect
10. C73×#1917C2semidirect
13. C73×#1865C2semidirect
14. C73×#1863C2semidirect
67. C2×SD16×C73Q8semidirect
227. Q8×C73C22⋊Q8semidirect
313. #26397C73direct (N × H)
322. C2×#477C2×C73semidirect
325. Q8×C4⋊C4C2×C73semidirect
327. #2083C2×C73semidirect
329. #2057C2×C73semidirect
330. #1944C2×C73semidirect
331. #1917C2×C73semidirect
334. #1865C2×C73semidirect
335. #1863C2×C73semidirect
337. C73#26397direct (N × H)
389. C2×SD16Q8×C73semidirect
549. Q8C22⋊Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#477×C732
C2×#440×C732
C73×#24522
Q8×C4⋊C4×C732
C73×#20932
C73×#20832
C73×#20652
C73×#20572
C73×#19442
C73×#19172
C73×#18802
C73×#18652
C73×#18632
C73×#18622
#2639773