Finite Group Databasebeta

← C73×#26614 #32936018

Subgroups — C73×#26614 #32936018

Order 18688.

866 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#461×C73C211yesmaximal, characteristic
2C2×#441×C73C211yesmaximal, characteristic, complemented
3C73×#2446C211yesmaximal, characteristic, complemented
4C73×#2367C211yesmaximal, characteristic
5C73×#2068C211yesmaximal, characteristic, complemented
6C73×#2016C211yesmaximal, characteristic, complemented
7C73×#2015C211yesmaximal, characteristic
8C73×#2015C211yesmaximal, characteristic
9C73×#1973C211yesmaximal, characteristic
10C73×#1928C211yesmaximal, characteristic, complemented
11C73×#1927C211yesmaximal, characteristic, complemented
12C73×#1917C211yesmaximal, characteristic, complemented
13C73×#1880C211yesmaximal, characteristic
14C73×#1878C211yesmaximal, characteristic, complemented
15C73×#1864C211yesmaximal, characteristic
16C22×Q16×C73C2211yescharacteristic
17C22×Q16×C73C2211yescharacteristic
18C22×SD16×C73C2211yescharacteristic
19C22×SD16×C73C2211yescharacteristic
20C2×C4⋊Q8×C73C2211yescharacteristic
21C2×#124×C73C2211yescharacteristic
22C2×C4×Q8×C73C2211yescharacteristic
23C2×C4×Q8×C73C2211yescharacteristic
24C2×C4×D4×C73C2211yescharacteristic
25#461×C73—24no—
26#441×C73—24no—
27C2×#107×C73C2211yescharacteristic
28C2×#106×C73C2211yescharacteristic
29C2×C4⋊C8×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×#103×C73C2211yescharacteristic
32C2×#103×C73C2211yescharacteristic
33C2×#103×C73C2211yescharacteristic
34C2×#103×C73C2211yescharacteristic
35C2×#103×C73C2211yescharacteristic
36C2×#102×C73C2211yescharacteristic
37C2×#102×C73C2211yescharacteristic
38C2×#97×C73C2211yescharacteristic
39#400×C73—21no—
40#398×C73—21no—
41#391×C73C2211yescharacteristic
42#391×C73C2211yescharacteristic
43#391×C73C2211yescharacteristic
44#391×C73C2211yescharacteristic
45#390×C73C2211yescharacteristic
46#389×C73C2211yescharacteristic
47#388×C73—21no—
48#388×C73—21no—
49#387×C73—21no—
50#387×C73—21no—
51#385×C73—21no—
52C4×C4⋊C4×C73C2211yescharacteristic
53C4×C4⋊C4×C73C2211yescharacteristic
54C4×C22⋊C4×C73—21no—
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60#336×C73C2211yescharacteristic
61C22×Q8×C73C2311yescharacteristic
62C22×Q8×C73C2311yescharacteristic
63C22×Q8×C73C2311yescharacteristic
64C22×D4×C73C2311yescharacteristic
65C23×C4×C73—21no—
66C2×Q16×C73—22no—
67C2×Q16×C73—22no—
68C2×Q16×C73—22no—
69C2×Q16×C73—22no—
70C2×Q16×C73—41no—
71C2×Q16×C73—41no—
72C2×SD16×C73—22no—
73C2×SD16×C73—22no—
74C2×SD16×C73—22no—
75C2×SD16×C73—22no—
76C2×SD16×C73—41no—
77C2×SD16×C73—41no—
78C22×C8×C73C2311yescharacteristic
79C22×C8×C73C2311yescharacteristic
80C22×C8×C73C2311yescharacteristic
81C22×C8×C73C2311yescharacteristic
82C4⋊Q8×C73—22no—
83C4⋊Q8×C73—41no—
84#124×C73—22no—
85#124×C73—22no—
86C4×Q8×C73—22no—
87C4×Q8×C73—22no—
88C4×Q8×C73—41no—
89C4×Q8×C73—41no—
90C4×D4×C73—22no—
91C4×D4×C73—41no—
92C2×C4⋊C4×C73—21no—
93C2×C4⋊C4×C73—21no—
94C2×C4⋊C4×C73—21no—
95C2×C4⋊C4×C73—21no—
96C2×C4⋊C4×C73—21no—
97C2×C4⋊C4×C73D411yescharacteristic
98C2×C4⋊C4×C73D411yescharacteristic
99C2×C4⋊C4×C73C2311yescharacteristic
100C2×C4⋊C4×C73C2311yescharacteristic
101C2×C4⋊C4×C73C2311yescharacteristic
102C2×C4⋊C4×C73C2311yescharacteristic
103C2×C22⋊C4×C73—21no—
104C2×C22⋊C4×C73—21no—
105C2×C22⋊C4×C73—21no—
106C2×C22⋊C4×C73—21no—
107C2×C22⋊C4×C73—21no—
108C2×C42×C73—21no—
109C2×C42×C73—21no—
110C2×C42×C73—21no—
111C2×C42×C73C2311yescharacteristic
112C2×C42×C73C2311yescharacteristic
113C2×C42×C73C2311yescharacteristic
114#107×C73—41no—
115#106×C73—22no—
116C4⋊C8×C73—22no—
117#103×C73—22no—
118#103×C73—22no—
119#103×C73—22no—
120#103×C73—41no—
121#103×C73—41no—
122#103×C73D414yes—
123#102×C73—22no—
124#102×C73—41no—
125#97×C73—22no—
126#95×C73—21no—
127#95×C73—21no—
128#95×C73—21no—
129#95×C73—21no—
130#95×C73—21no—
131#95×C73—21no—
132#95×C73—21no—
133#95×C73—21no—
134#95×C73—21no—
135#95×C73—21no—
136#95×C73D411yescharacteristic
137#95×C73D411yescharacteristic
138C24×C73—21no—
139C2×Q8×C73—21no—
140C2×Q8×C73—21no—
141C2×Q8×C73—21no—
142C2×Q8×C73—21no—
143C2×Q8×C73—21no—
144C2×Q8×C73—21no—
145C2×Q8×C73—21no—
146C2×Q8×C73—21no—
147C2×Q8×C73—21no—
148C2×Q8×C73—21no—
149C2×Q8×C73—21no—
150C2×Q8×C73—21no—
151C2×Q8×C73—21no—
152C2×Q8×C73—21no—
153C2×Q8×C73—21no—
154C2×Q8×C73—21no—
155C2×Q8×C73C2×D412yes—
156C2×Q8×C73#4112yes—
157C2×D4×C73—21no—
158C2×D4×C73—21no—
159C2×D4×C73—21no—
160C2×D4×C73—21no—
161C2×D4×C73—21no—
162C2×D4×C73#4112yes—
163C22×C4×C73—21no—
164C22×C4×C73—21no—
165C22×C4×C73—21no—
166C22×C4×C73—21no—
167C22×C4×C73—21no—
168C22×C4×C73—21no—
169C22×C4×C73—21no—
170C22×C4×C73—42no—
171C22×C4×C73—42no—
172C22×C4×C73—81no—
173C22×C4×C73C2×D411yescharacteristic
174C22×C4×C73C2×D411yescharacteristic
175C22×C4×C73C2×D411yescharacteristic
176C22×C4×C73C2×D411yescharacteristic
177C22×C4×C73C2×D411yescharacteristic
178C22×C4×C73C2×D411yescharacteristic
179C22×C4×C73C2411yescharacteristic
180Q16×C73—28no—
181Q16×C73—44no—
182SD16×C73—44no—
183SD16×C73—44no—
184C2×C8×C73—21no—
185C2×C8×C73—21no—
186C2×C8×C73—21no—
187C2×C8×C73—21no—
188C2×C8×C73—21no—
189C2×C8×C73—21no—
190C2×C8×C73—21no—
191C2×C8×C73—21no—
192C2×C8×C73—21no—
193C2×C8×C73—21no—
194C2×C8×C73C2×D412yes—
195C2×C8×C73#4112yes—
196C4⋊C4×C73—22no—
197C4⋊C4×C73—21no—
198C4⋊C4×C73—21no—
199C4⋊C4×C73—21no—
200C4⋊C4×C73—21no—
201C4⋊C4×C73—21no—
202C4⋊C4×C73—21no—
203C4⋊C4×C73—21no—
204C4⋊C4×C73—41no—
205C4⋊C4×C73—42no—
206C4⋊C4×C73—42no—
207C4⋊C4×C73—42no—
208C4⋊C4×C73—42no—
209C4⋊C4×C73—42no—
210C4⋊C4×C73C2×D412yes—
211C22⋊C4×C73—24no—
212C22⋊C4×C73—24no—
213C22⋊C4×C73—42no—
214C22⋊C4×C73—42no—
215C22⋊C4×C73—81no—
216C42×C73—21no—
217C42×C73—21no—
218C42×C73—21no—
219C42×C73—21no—
220C42×C73—21no—
221C42×C73—21no—
222C42×C73—42no—
223C42×C73—42no—
224C42×C73—81no—
225C23×C73—22no—
226C23×C73—41no—
227C23×C73—41no—
228C23×C73—41no—
229C23×C73—41no—
230C23×C73—41no—
231C23×C73—41no—
232C23×C73C22×D411yescharacteristic
233Q8×C73—22no—
234Q8×C73—22no—
235Q8×C73—22no—
236Q8×C73—22no—
237Q8×C73—41no—
238Q8×C73—41no—
239Q8×C73—41no—
240Q8×C73—41no—
241Q8×C73—41no—
242Q8×C73—41no—
243Q8×C73—41no—
244Q8×C73—41no—
245D4×C73—22no—
246D4×C73—22no—
247D4×C73—41no—
248D4×C73—41no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
252C2×C4×C73—21no—
253C2×C4×C73—22no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—21no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—21no—
260C2×C4×C73—21no—
261C2×C4×C73—21no—
262C2×C4×C73—21no—
263C2×C4×C73—21no—
264C2×C4×C73—21no—
265C2×C4×C73—21no—
266C2×C4×C73—21no—
267C2×C4×C73—21no—
268C2×C4×C73—21no—
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—41no—
279C2×C4×C73—41no—
280C2×C4×C73—41no—
281C2×C4×C73—41no—
282C2×C4×C73—41no—
283C2×C4×C73—41no—
284C2×C4×C73—41no—
285C2×C4×C73—41no—
286C2×C4×C73—41no—
287C2×C4×C73—84no—
288C2×C4×C73#13712yes—
289C2×C4×C73C22×D411yescharacteristic
290C2×C4×C73C2×#4111yescharacteristic
291C2×C4×C73C2×#4111yescharacteristic
292C2×C4×C73C2×#4111yescharacteristic
293C2×C4×C73H(5,𝔽2)11yescharacteristic
294C2×C4×C73H(5,𝔽2)11yescharacteristic
295C8×C73—22no—
296C8×C73—22no—
297C8×C73—41no—
298C8×C73—41no—
299C22×C73—42no—
300C22×C73—42no—
301C22×C73—42no—
302C22×C73—81no—
303C22×C73—81no—
304C22×C73—81no—
305C22×C73—81no—
306C22×C73#52511yescharacteristic
307C22×C73D4211yescharacteristic
308C22×C73#55011yescharacteristic
309C22×C73C2×#13711yescharacteristic
310C22×C73#57511yescharacteristic
311C22×C73#57711yescharacteristic
312C22×C73#57811yescharacteristic
313C4×C73—22no—
314C4×C73—41no—
315C4×C73—41no—
316C4×C73—42no—
317C4×C73—42no—
318C4×C73—41no—
319C4×C73—42no—
320C4×C73—41no—
321C4×C73—41no—
322C4×C73—81no—
323C4×C73—81no—
324C4×C73—81no—
325C4×C73—81no—
326C4×C73#52511yescharacteristic
327C4×C73#53811yescharacteristic
328C4×C73#54611yescharacteristic
329C4×C73#55311yescharacteristic
330#26614C7311yesmaximal, characteristic, direct product factor, Sylow
331C2×C73—82no—
332C2×C73#245611yescharacteristic
333C2×C73#311611yescharacteristic
334C2×C73#312011yescharacteristic
335C2×C73#326611yescharacteristic
336C2×C73#327711yescharacteristic
337C2×C73#339811yescharacteristic
338C2×C73#340111yescharacteristic
339C2×#461C2×C7311yescharacteristic
340C2×#441C2×C7311yescharacteristic, complemented
341#2446C2×C7311yescharacteristic, complemented
342#2367C2×C7311yescharacteristic
343#2068C2×C7311yescharacteristic, complemented
344#2016C2×C7311yescharacteristic, complemented
345#2015C2×C7311yescharacteristic
346#2015C2×C7311yescharacteristic
347#1973C2×C7311yescharacteristic
348#1928C2×C7311yescharacteristic, complemented
349#1927C2×C7311yescharacteristic, complemented
350#1917C2×C7311yescharacteristic, complemented
351#1880C2×C7311yescharacteristic
352#1878C2×C7311yescharacteristic, complemented
353#1864C2×C7311yescharacteristic
354C73#2661411yescharacteristic, direct product factor, Sylow
355C22×Q16C22×C7311yescharacteristic
356C22×Q16C22×C7311yescharacteristic
357C22×SD16C22×C7311yescharacteristic
358C22×SD16C22×C7311yescharacteristic
359C2×C4⋊Q8C22×C7311yescharacteristic
360C2×#124C22×C7311yescharacteristic
361C2×C4×Q8C22×C7311yescharacteristic
362C2×C4×Q8C22×C7311yescharacteristic
363C2×C4×D4C22×C7311yescharacteristic
364#461—24no—
365#441—24no—
366C2×#107C22×C7311yescharacteristic
367C2×#106C22×C7311yescharacteristic
368C2×C4⋊C8C22×C7311yescharacteristic
369C2×#103C22×C7311yescharacteristic
370C2×#103C22×C7311yescharacteristic
371C2×#103C22×C7311yescharacteristic
372C2×#103C22×C7311yescharacteristic
373C2×#103C22×C7311yescharacteristic
374C2×#103C22×C7311yescharacteristic
375C2×#102C22×C7311yescharacteristic
376C2×#102C22×C7311yescharacteristic
377C2×#97C22×C7311yescharacteristic
378#400—21no—
379#398—21no—
380#391C22×C7311yescharacteristic
381#391C22×C7311yescharacteristic
382#391C22×C7311yescharacteristic
383#391C22×C7311yescharacteristic
384#390C22×C7311yescharacteristic
385#389C22×C7311yescharacteristic
386#388—21no—
387#388—21no—
388#387—21no—
389#387—21no—
390#385—21no—
391C4×C4⋊C4C22×C7311yescharacteristic
392C4×C4⋊C4C22×C7311yescharacteristic
393C4×C22⋊C4—21no—
394#340C22×C7311yescharacteristic
395#340C22×C7311yescharacteristic
396#336C22×C7311yescharacteristic
397#336C22×C7311yescharacteristic
398#336C22×C7311yescharacteristic
399#336C22×C7311yescharacteristic
400C22×Q8C23×C7311yescharacteristic
401C22×Q8C23×C7311yescharacteristic
402C22×Q8C23×C7311yescharacteristic
403C22×D4C23×C7311yescharacteristic
404C23×C4—21no—
405C2×Q16—22no—
406C2×Q16—22no—
407C2×Q16—22no—
408C2×Q16—22no—
409C2×Q16—41no—
410C2×Q16—41no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16—41no—
416C2×SD16—41no—
417C22×C8C23×C7311yescharacteristic
418C22×C8C23×C7311yescharacteristic
419C22×C8C23×C7311yescharacteristic
420C22×C8C23×C7311yescharacteristic
421C4⋊Q8—22no—
422C4⋊Q8—41no—
423#124—22no—
424#124—22no—
425C4×Q8—22no—
426C4×Q8—22no—
427C4×Q8—41no—
428C4×Q8—41no—
429C4×D4—22no—
430C4×D4—41no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4D4×C7311yescharacteristic
437C2×C4⋊C4D4×C7311yescharacteristic
438C2×C4⋊C4C23×C7311yescharacteristic
439C2×C4⋊C4C23×C7311yescharacteristic
440C2×C4⋊C4C23×C7311yescharacteristic
441C2×C4⋊C4C23×C7311yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42C23×C7311yescharacteristic
451C2×C42C23×C7311yescharacteristic
452C2×C42C23×C7311yescharacteristic
453#107—41no—
454#106—22no—
455C4⋊C8—22no—
456#103—22no—
457#103—22no—
458#103—22no—
459#103—41no—
460#103—41no—
461#103D4×C7314yes—
462#102—22no—
463#102—41no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95D4×C7311yescharacteristic
476#95D4×C7311yescharacteristic
477C24—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8C2×D4×C7312yes—
495C2×Q8#41×C7312yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4#41×C7312yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—81no—
512C22×C4C2×D4×C7311yescharacteristic
513C22×C4C2×D4×C7311yescharacteristic
514C22×C4C2×D4×C7311yescharacteristic
515C22×C4C2×D4×C7311yescharacteristic
516C22×C4C2×D4×C7311yescharacteristic
517C22×C4C2×D4×C7311yescharacteristic
518C22×C4C24×C7311yescharacteristic
519Q16—28no—
520Q16—44no—
521SD16—44no—
522SD16—44no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8C2×D4×C7312yes—
534C2×C8#41×C7312yes—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—41no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4C2×D4×C7312yes—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—81no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—42no—
562C42—42no—
563C42—81no—
564C23—22no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23C22×D4×C7311yescharacteristic
572Q8—22no—
573Q8—22no—
574Q8—22no—
575Q8—22no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584D4—22no—
585D4—22no—
586D4—41no—
587D4—41no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—84no—
627C2×C4#137×C7312yes—
628C2×C4C22×D4×C7311yescharacteristic
629C2×C4C2×#41×C7311yescharacteristic
630C2×C4C2×#41×C7311yescharacteristic
631C2×C4C2×#41×C7311yescharacteristic
632C2×C4H(5,𝔽2)×C7311yescharacteristic
633C2×C4H(5,𝔽2)×C7311yescharacteristic
634C8—22no—
635C8—22no—
636C8—41no—
637C8—41no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22#525×C7311yescharacteristic
646C22D42×C7311yescharacteristic
647C22#550×C7311yescharacteristic
648C22C2×#137×C7311yescharacteristic
649C22#575×C7311yescharacteristic
650C22#577×C7311yescharacteristic
651C22#578×C7311yescharacteristic
652C4—22no—
653C4—42no—
654C4—42no—
655C4—41no—
656C4—42no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4#525×C7311yescharacteristic
666C4#538×C7311yescharacteristic
667C4#546×C7311yescharacteristic
668C4#553×C7311yescharacteristic
669C2—82no—
670C2C73×#245611yescharacteristic
671C2C73×#311611yescharacteristic
672C2C73×#312011yescharacteristic
673C2C73×#326611yescharacteristic
674C2C73×#327711yescharacteristic
675C2C73×#339811yescharacteristic
676C2C73×#340111yescharacteristic
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
2. C2×#441×C73C2semidirect
3. C73×#2446C2semidirect
5. C73×#2068C2semidirect
6. C73×#2016C2semidirect
10. C73×#1928C2semidirect
11. C73×#1927C2semidirect
12. C73×#1917C2semidirect
14. C73×#1878C2semidirect
330. #26614C73direct (N × H)
340. C2×#441C2×C73semidirect
341. #2446C2×C73semidirect
343. #2068C2×C73semidirect
344. #2016C2×C73semidirect
348. #1928C2×C73semidirect
349. #1927C2×C73semidirect
350. #1917C2×C73semidirect
352. #1878C2×C73semidirect
354. C73#26614direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#461×C732
C2×#441×C732
C73×#24462
C73×#23672
C73×#20682
C73×#20162
C73×#20152
C73×#19732
C73×#19282
C73×#19272
C73×#19172
C73×#18802
C73×#18782
C73×#18642
#2661473