Finite Group Databasebeta

← C73×#26353 #32935757

Subgroups — C73×#26353 #32935757

Order 18688.

848 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#475×C73C211yesmaximal, characteristic, complemented
2C2×#428×C73C211yesmaximal, characteristic
3C73×#2440C211yesmaximal, characteristic
4C73×#2362C211yesmaximal, characteristic
5C73×#2095C211yesmaximal, characteristic, complemented
6C73×#2086C211yesmaximal, characteristic, complemented
7C73×#2068C211yesmaximal, characteristic, complemented
8C73×#2057C211yesmaximal, characteristic, complemented
9C73×#1948C211yesmaximal, characteristic, complemented
10C73×#1920C211yesmaximal, characteristic, complemented
11C73×#1894C211yesmaximal, characteristic
12C73×#1872C211yesmaximal, characteristic
13C73×#1865C211yesmaximal, characteristic, complemented
14C73×#1854C211yesmaximal, characteristic
15C73×#1851C211yesmaximal, characteristic
16C22×M16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73—21no—
19C2×C22⋊Q8×C73C2211yescharacteristic
20C2×C4×Q8×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22C22×C4⋊C4×C73C2211yescharacteristic
23#475×C73—24no—
24#428×C73—24no—
25C2×#107×C73C2211yescharacteristic
26C2×#107×C73C2211yescharacteristic
27C2×#107×C73C2211yescharacteristic
28C2×#106×C73C2211yescharacteristic
29C2×#106×C73C2211yescharacteristic
30C2×#106×C73C2211yescharacteristic
31C2×C4⋊C8×C73C2211yescharacteristic
32C2×C4⋊C8×C73C2211yescharacteristic
33C2×#103×C73C2211yescharacteristic
34C2×#103×C73C2211yescharacteristic
35C2×#103×C73C2211yescharacteristic
36C2×#103×C73C2211yescharacteristic
37C2×C22⋊C8×C73C2211yescharacteristic
38#398×C73—21no—
39#395×C73—21no—
40#391×C73C2211yescharacteristic
41#389×C73C2211yescharacteristic
42#389×C73C2211yescharacteristic
43#389×C73C2211yescharacteristic
44#388×C73—21no—
45#388×C73—21no—
46#387×C73—21no—
47#385×C73—21no—
48#384×C73C2211yescharacteristic
49#380×C73C2211yescharacteristic
50C4×C4⋊C4×C73—21no—
51C4×C4⋊C4×C73C2211yescharacteristic
52C4×C22⋊C4×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×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×C73C2311yescharacteristic
63C23×C4×C73—21no—
64C23×C4×C73C2311yescharacteristic
65C2×M16×C73—22no—
66C2×M16×C73—22no—
67C2×M16×C73—22no—
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C4⋊Q8×C73—22no—
73C4⋊Q8×C73—41no—
74C22⋊Q8×C73—22no—
75C22⋊Q8×C73—44no—
76C22⋊Q8×C73Q814yescomplemented
77C4×Q8×C73—22no—
78C4×Q8×C73—41no—
79#117×C73—22no—
80#117×C73—41no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—22no—
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—41no—
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
97C2×C4⋊C4×C73C2311yescharacteristic
98C2×C4⋊C4×C73C2311yescharacteristic
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73—21no—
102C2×C22⋊C4×C73D411yescharacteristic
103C2×C22⋊C4×C73D411yescharacteristic
104C2×C42×C73—21no—
105C2×C42×C73—21no—
106C2×C42×C73—21no—
107C2×C42×C73C2311yescharacteristic
108C2×C42×C73C2311yescharacteristic
109#107×C73—22no—
110#107×C73—22no—
111#107×C73—41no—
112#106×C73—22no—
113#106×C73—22no—
114#106×C73D414yes—
115C4⋊C8×C73—22no—
116C4⋊C8×C73—22no—
117#103×C73—22no—
118#103×C73—22no—
119#103×C73—22no—
120#103×C73—41no—
121C22⋊C8×C73—22no—
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×C73C2×D411yescharacteristic
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—81no—
140C2×Q8×C73C2×Q812yes—
141C22×C4×C73—21no—
142C22×C4×C73—21no—
143C22×C4×C73—21no—
144C22×C4×C73—21no—
145C22×C4×C73—21no—
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—21no—
153C22×C4×C73—42no—
154C22×C4×C73—42no—
155C22×C4×C73—81no—
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73C2×D411yescharacteristic
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×Q812yes—
162C22×C4×C73#4112yes—
163C22×C4×C73C2411yescharacteristic
164M16×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×C73#4112yes—
177C4⋊C4×C73—24no—
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—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—21no—
189C4⋊C4×C73—42no—
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×C73C2×D412yes—
198C4⋊C4×C73C2×D412yes—
199C4⋊C4×C73C2×Q812yes—
200C22⋊C4×C73—24no—
201C22⋊C4×C73—22no—
202C22⋊C4×C73—22no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C42×C73—21no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—42no—
210C42×C73—42no—
211C42×C73—42no—
212C23×C73—21no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73C22⋊Q812yes—
219C23×C73C22×D411yescharacteristic
220Q8×C73—22no—
221Q8×C73—22no—
222Q8×C73—41no—
223Q8×C73—41no—
224Q8×C73—84no—
225C2×C4×C73—21no—
226C2×C4×C73—21no—
227C2×C4×C73—21no—
228C2×C4×C73—21no—
229C2×C4×C73—21no—
230C2×C4×C73—21no—
231C2×C4×C73—22no—
232C2×C4×C73—22no—
233C2×C4×C73—22no—
234C2×C4×C73—22no—
235C2×C4×C73—22no—
236C2×C4×C73—22no—
237C2×C4×C73—21no—
238C2×C4×C73—22no—
239C2×C4×C73—22no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—41no—
246C2×C4×C73—41no—
247C2×C4×C73—41no—
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—84no—
266C2×C4×C73C22⋊Q812yes—
267C2×C4×C73AGL(1,ℤ/8)12yes—
268C2×C4×C73#13712yes—
269C2×C4×C73C22×D411yescharacteristic
270C2×C4×C73C22×Q811yescharacteristic
271C2×C4×C73C2×#4111yescharacteristic
272C2×C4×C73C2×#4111yescharacteristic
273C2×C4×C73H(5,𝔽2)11yescharacteristic
274C2×C4×C732−1+411yescharacteristic
275C8×C73—22no—
276C8×C73—22no—
277C8×C73—41no—
278C8×C73—41no—
279C22×C73—22no—
280C22×C73—22no—
281C22×C73—22no—
282C22×C73—41no—
283C22×C73—41no—
284C22×C73—41no—
285C22×C73—41no—
286C22×C73C2×C22⋊Q811yescharacteristic
287C22×C73D4211yescharacteristic
288C22×C73#54711yescharacteristic
289C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
290C22×C73C2×#13711yescharacteristic
291C22×C73#57711yescharacteristic
292C22×C73#57811yescharacteristic
293C4×C73—22no—
294C4×C73—22no—
295C4×C73—22no—
296C4×C73—42no—
297C4×C73—41no—
298C4×C73—42no—
299C4×C73—42no—
300C4×C73—41no—
301C4×C73—42no—
302C4×C73—81no—
303C4×C73—81no—
304C4×C73—81no—
305C4×C73—81no—
306C4×C73#52511yescharacteristic
307C4×C73#53911yescharacteristic
308C4×C73D4×Q811yescharacteristic
309C4×C73#55411yescharacteristic
310#26353C7311yesmaximal, characteristic, direct product factor, Sylow
311C2×C73—42no—
312C2×C73#244911yescharacteristic
313C2×C73#307911yescharacteristic
314C2×C73#308211yescharacteristic
315C2×C73#326511yescharacteristic
316C2×C73#327611yescharacteristic
317C2×C73#334411yescharacteristic
318C2×C73#335311yescharacteristic
319C2×#475C2×C7311yescharacteristic, complemented
320C2×#428C2×C7311yescharacteristic
321#2440C2×C7311yescharacteristic
322#2362C2×C7311yescharacteristic
323#2095C2×C7311yescharacteristic, complemented
324#2086C2×C7311yescharacteristic, complemented
325#2068C2×C7311yescharacteristic, complemented
326#2057C2×C7311yescharacteristic, complemented
327#1948C2×C7311yescharacteristic, complemented
328#1920C2×C7311yescharacteristic, complemented
329#1894C2×C7311yescharacteristic
330#1872C2×C7311yescharacteristic
331#1865C2×C7311yescharacteristic, complemented
332#1854C2×C7311yescharacteristic
333#1851C2×C7311yescharacteristic
334C73#2635311yescharacteristic, direct product factor, Sylow
335C22×M16C22×C7311yescharacteristic
336C2×C4⋊Q8C22×C7311yescharacteristic
337C2×C22⋊Q8—21no—
338C2×C22⋊Q8C22×C7311yescharacteristic
339C2×C4×Q8C22×C7311yescharacteristic
340C2×#117C22×C7311yescharacteristic
341C22×C4⋊C4C22×C7311yescharacteristic
342#475—24no—
343#428—24no—
344C2×#107C22×C7311yescharacteristic
345C2×#107C22×C7311yescharacteristic
346C2×#107C22×C7311yescharacteristic
347C2×#106C22×C7311yescharacteristic
348C2×#106C22×C7311yescharacteristic
349C2×#106C22×C7311yescharacteristic
350C2×C4⋊C8C22×C7311yescharacteristic
351C2×C4⋊C8C22×C7311yescharacteristic
352C2×#103C22×C7311yescharacteristic
353C2×#103C22×C7311yescharacteristic
354C2×#103C22×C7311yescharacteristic
355C2×#103C22×C7311yescharacteristic
356C2×C22⋊C8C22×C7311yescharacteristic
357#398—21no—
358#395—21no—
359#391C22×C7311yescharacteristic
360#389C22×C7311yescharacteristic
361#389C22×C7311yescharacteristic
362#389C22×C7311yescharacteristic
363#388—21no—
364#388—21no—
365#387—21no—
366#385—21no—
367#384C22×C7311yescharacteristic
368#380C22×C7311yescharacteristic
369C4×C4⋊C4—21no—
370C4×C4⋊C4C22×C7311yescharacteristic
371C4×C22⋊C4C22×C7311yescharacteristic
372#340C22×C7311yescharacteristic
373#340C22×C7311yescharacteristic
374#340C22×C7311yescharacteristic
375#340C22×C7311yescharacteristic
376#340C22×C7311yescharacteristic
377#340C22×C7311yescharacteristic
378#336C22×C7311yescharacteristic
379#336C22×C7311yescharacteristic
380C22×Q8—21no—
381C22×Q8C23×C7311yescharacteristic
382C23×C4—21no—
383C23×C4C23×C7311yescharacteristic
384C2×M16—22no—
385C2×M16—22no—
386C2×M16—22no—
387C22×C8C23×C7311yescharacteristic
388C22×C8C23×C7311yescharacteristic
389C22×C8C23×C7311yescharacteristic
390C22×C8C23×C7311yescharacteristic
391C4⋊Q8—22no—
392C4⋊Q8—41no—
393C22⋊Q8—22no—
394C22⋊Q8—44no—
395C22⋊Q8Q8×C7314yescomplemented
396C4×Q8—22no—
397C4×Q8—41no—
398#117—22no—
399#117—41no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—21no—
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⋊C4—41no—
411C2×C4⋊C4C23×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⋊C4D4×C7311yescharacteristic
422C2×C22⋊C4D4×C7311yescharacteristic
423C2×C42—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42C23×C7311yescharacteristic
427C2×C42C23×C7311yescharacteristic
428#107—22no—
429#107—22no—
430#107—41no—
431#106—22no—
432#106—22no—
433#106D4×C7314yes—
434C4⋊C8—22no—
435C4⋊C8—22no—
436#103—22no—
437#103—22no—
438#103—22no—
439#103—41no—
440C22⋊C8—22no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95D4×C7311yescharacteristic
449#95D4×C7311yescharacteristic
450C24C2×D4×C7311yescharacteristic
451C2×Q8—21no—
452C2×Q8—21no—
453C2×Q8—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8—81no—
459C2×Q8C2×Q8×C7312yes—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—81no—
475C22×C4C2×D4×C7311yescharacteristic
476C22×C4C2×D4×C7311yescharacteristic
477C22×C4C2×D4×C7311yescharacteristic
478C22×C4C2×D4×C7311yescharacteristic
479C22×C4C2×D4×C7311yescharacteristic
480C22×C4C2×Q8×C7312yes—
481C22×C4#41×C7312yes—
482C22×C4C24×C7311yescharacteristic
483M16—28no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8C2×D4×C7312yes—
495C2×C8#41×C7312yes—
496C4⋊C4—24no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—81no—
516C4⋊C4C2×D4×C7312yes—
517C4⋊C4C2×D4×C7312yes—
518C4⋊C4C2×Q8×C7312yes—
519C22⋊C4—24no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C42—21no—
525C42—21no—
526C42—21no—
527C42—21no—
528C42—42no—
529C42—42no—
530C42—42no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23C22⋊Q8×C7312yes—
538C23C22×D4×C7311yescharacteristic
539Q8—22no—
540Q8—22no—
541Q8—41no—
542Q8—41no—
543Q8—84no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
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—84no—
585C2×C4C22⋊Q8×C7312yes—
586C2×C4AGL(1,ℤ/8)×C7312yes—
587C2×C4#137×C7312yes—
588C2×C4C22×D4×C7311yescharacteristic
589C2×C4C22×Q8×C7311yescharacteristic
590C2×C4C2×#41×C7311yescharacteristic
591C2×C4C2×#41×C7311yescharacteristic
592C2×C4H(5,𝔽2)×C7311yescharacteristic
593C2×C42−1+4×C7311yescharacteristic
594C8—22no—
595C8—22no—
596C8—41no—
597C8—41no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22C2×C22⋊Q8×C7311yescharacteristic
606C22D42×C7311yescharacteristic
607C22#547×C7311yescharacteristic
608C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
609C22C2×#137×C7311yescharacteristic
610C22#577×C7311yescharacteristic
611C22#578×C7311yescharacteristic
612C4—22no—
613C4—22no—
614C4—22no—
615C4—42no—
616C4—42no—
617C4—41no—
618C4—42no—
619C4—42no—
620C4—41no—
621C4—81no—
622C4—81no—
623C4—81no—
624C4—81no—
625C4#525×C7311yescharacteristic
626C4#539×C7311yescharacteristic
627C4D4×Q8×C7311yescharacteristic
628C4#554×C7311yescharacteristic
629C2—42no—
630C2C73×#244911yescharacteristic
631C2C73×#307911yescharacteristic
632C2C73×#308211yescharacteristic
633C2C73×#326511yescharacteristic
634C2C73×#327611yescharacteristic
635C2C73×#334411yescharacteristic
636C2C73×#335311yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC24×C73C2×D4
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
1. C2×#475×C73C2semidirect
5. C73×#2095C2semidirect
6. C73×#2086C2semidirect
7. C73×#2068C2semidirect
8. C73×#2057C2semidirect
9. C73×#1948C2semidirect
10. C73×#1920C2semidirect
13. C73×#1865C2semidirect
76. C22⋊Q8×C73Q8semidirect
310. #26353C73direct (N × H)
319. C2×#475C2×C73semidirect
323. #2095C2×C73semidirect
324. #2086C2×C73semidirect
325. #2068C2×C73semidirect
326. #2057C2×C73semidirect
327. #1948C2×C73semidirect
328. #1920C2×C73semidirect
331. #1865C2×C73semidirect
334. C73#26353direct (N × H)
395. C22⋊Q8Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#475×C732
C2×#428×C732
C73×#24402
C73×#23622
C73×#20952
C73×#20862
C73×#20682
C73×#20572
C73×#19482
C73×#19202
C73×#18942
C73×#18722
C73×#18652
C73×#18542
C73×#18512
#2635373