Finite Group Databasebeta

← C73×#8408 #32917812

Subgroups — C73×#8408 #32917812

Order 18688.

1040 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C73C211yesmaximal, characteristic
2C73×#1874C211yesmaximal, characteristic, complemented
3C73×#1872C211yesmaximal, characteristic, complemented
4C2×#328×C73C211yesmaximal, characteristic, complemented
5C2×#327×C73C211yesmaximal, characteristic, complemented
6C2×#323×C73C211yesmaximal, characteristic, complemented
7C73×#1439C211yesmaximal, characteristic, complemented
8#538×C73—22no—
9#538×C73—22no—
10#538×C73—22no—
11#538×C73C414yescomplemented
12C2×#126×C73—21no—
13C2×#124×C73—21no—
14C2×#123×C73—21no—
15C2×C22⋊Q8×C73C2211yescharacteristic
16C2×#121×C73—21no—
17C2×#121×C73C2211yescharacteristic
18C2×#120×C73—21no—
19C2×C4×D4×C73—21no—
20C22×C4⋊C4×C73C2211yescharacteristic
21C22×C22⋊C4×C73—21no—
22C22×C22⋊C4×C73C2211yescharacteristic
23C2×#103×C73—21no—
24C2×#102×C73—21no—
25C2×C22⋊C8×C73C2211yescharacteristic
26C2×C22⋊C8×C73C2211yescharacteristic
27C2×#95×C73—21no—
28C2×#95×C73C2211yescharacteristic
29#340×C73—21no—
30#340×C73—21no—
31#328×C73—22no—
32#327×C73—22no—
33#323×C73—22no—
34C25×C73D411yescharacteristic
35C22×Q8×C73D411yescharacteristic
36C22×D4×C73—21no—
37C22×D4×C73—21no—
38C22×D4×C73—21no—
39C22×D4×C73D411yescharacteristic
40C23×C4×C73—21no—
41C23×C4×C73—21no—
42C23×C4×C73—21no—
43C23×C4×C73D411yescharacteristic
44C23×C4×C73C2311yescharacteristic
45C22×C8×C73—21no—
46C22×C8×C73—21no—
47#126×C73—24no—
48#126×C73—24no—
49#124×C73—24no—
50#124×C73—24no—
51#123×C73—24no—
52#123×C73—24no—
53C22⋊Q8×C73—21no—
54C22⋊Q8×C73—21no—
55C22⋊Q8×C73C2×C412yes—
56C22⋊Q8×C73D412yes—
57#121×C73—24no—
58#121×C73—24no—
59#121×C73—21no—
60#121×C73—21no—
61#121×C73C2×C412yes—
62#121×C73D412yes—
63#120×C73—24no—
64#120×C73—24no—
65C4×D4×C73—24no—
66C4×D4×C73—24no—
67C2×C4⋊C4×C73—21no—
68C2×C4⋊C4×C73—21no—
69C2×C4⋊C4×C73—21no—
70C2×C4⋊C4×C73—21no—
71C2×C4⋊C4×C73—42no—
72C2×C4⋊C4×C73D411yescharacteristic
73C2×C4⋊C4×C73D411yescharacteristic
74C2×C22⋊C4×C73—21no—
75C2×C22⋊C4×C73—21no—
76C2×C22⋊C4×C73—21no—
77C2×C22⋊C4×C73—21no—
78C2×C22⋊C4×C73—21no—
79C2×C22⋊C4×C73—21no—
80C2×C22⋊C4×C73—21no—
81C2×C22⋊C4×C73—21no—
82C2×C22⋊C4×C73—21no—
83C2×C22⋊C4×C73—42no—
84C2×C22⋊C4×C73—42no—
85C2×C22⋊C4×C73—42no—
86C2×C22⋊C4×C73C2×C412yes—
87C2×C22⋊C4×C73D412yes—
88C2×C42×C73—21no—
89#103×C73—42no—
90#102×C73—42no—
91C22⋊C8×C73—21no—
92C22⋊C8×C73—21no—
93C22⋊C8×C73—21no—
94C22⋊C8×C73—21no—
95#95×C73—21no—
96#95×C73—21no—
97#95×C73—42no—
98C24×C73—21no—
99C24×C73—21no—
100C24×C73—21no—
101C24×C73—21no—
102C24×C73—21no—
103C24×C73—21no—
104C24×C73—21no—
105C24×C73—41no—
106C24×C73—41no—
107C24×C73—41no—
108C24×C73—41no—
109C24×C73C22⋊C412yes—
110C24×C73C2×D411yescharacteristic
111C2×Q8×C73—21no—
112C2×Q8×C73—41no—
113C2×Q8×C73—41no—
114C2×Q8×C73C22⋊C412yescomplemented
115C2×D4×C73—22no—
116C2×D4×C73—22no—
117C2×D4×C73—24no—
118C2×D4×C73—24no—
119C2×D4×C73—21no—
120C2×D4×C73—41no—
121C2×D4×C73—41no—
122C2×D4×C73—41no—
123C2×D4×C73—41no—
124C2×D4×C73—41no—
125C2×D4×C73—41no—
126C2×D4×C73—81no—
127C2×D4×C73—81no—
128C2×D4×C73—81no—
129C2×D4×C73—81no—
130C2×D4×C73C22⋊C412yescomplemented
131C22×C4×C73—21no—
132C22×C4×C73—21no—
133C22×C4×C73—21no—
134C22×C4×C73—21no—
135C22×C4×C73—24no—
136C22×C4×C73—21no—
137C22×C4×C73—22no—
138C22×C4×C73—22no—
139C22×C4×C73—41no—
140C22×C4×C73—41no—
141C22×C4×C73—41no—
142C22×C4×C73—41no—
143C22×C4×C73—41no—
144C22×C4×C73—41no—
145C22×C4×C73—41no—
146C22×C4×C73—41no—
147C22×C4×C73—41no—
148C22×C4×C73—41no—
149C22×C4×C73—41no—
150C22×C4×C73—41no—
151C22×C4×C73—41no—
152C22×C4×C73—41no—
153C22×C4×C73—41no—
154C22×C4×C73—41no—
155C22×C4×C73—81no—
156C22×C4×C73—81no—
157C22×C4×C73C22⋊C412yes—
158C22×C4×C73C22×C411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×D411yescharacteristic
162C22×C4×C73C2×D411yescharacteristic
163C22×C4×C73C2×D411yescharacteristic
164C2×C8×C73—41no—
165C2×C8×C73—41no—
166C2×C8×C73—41no—
167C2×C8×C73—41no—
168C2×C8×C73—41no—
169C2×C8×C73—41no—
170C4⋊C4×C73—24no—
171C4⋊C4×C73—22no—
172C4⋊C4×C73—22no—
173C4⋊C4×C73—21no—
174C4⋊C4×C73—21no—
175C4⋊C4×C73—22no—
176C4⋊C4×C73—22no—
177C4⋊C4×C73—41no—
178C4⋊C4×C73—41no—
179C4⋊C4×C73C22⋊C412yescomplemented
180C4⋊C4×C73C22⋊C412yescomplemented
181C22⋊C4×C73—24no—
182C22⋊C4×C73—24no—
183C22⋊C4×C73—24no—
184C22⋊C4×C73—22no—
185C22⋊C4×C73—22no—
186C22⋊C4×C73—22no—
187C22⋊C4×C73—22no—
188C22⋊C4×C73—22no—
189C22⋊C4×C73—22no—
190C22⋊C4×C73—22no—
191C22⋊C4×C73—22no—
192C22⋊C4×C73—48no—
193C42×C73—24no—
194C23×C73—21no—
195C23×C73—21no—
196C23×C73—21no—
197C23×C73—21no—
198C23×C73—22no—
199C23×C73—22no—
200C23×C73—22no—
201C23×C73—22no—
202C23×C73—42no—
203C23×C73—42no—
204C23×C73—42no—
205C23×C73—42no—
206C23×C73—42no—
207C23×C73—42no—
208C23×C73—41no—
209C23×C73—41no—
210C23×C73—41no—
211C23×C73—41no—
212C23×C73—41no—
213C23×C73—41no—
214C23×C73—41no—
215C23×C73—41no—
216C23×C73—41no—
217C23×C73—41no—
218C23×C73—41no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—81no—
223C23×C73—81no—
224C23×C73—81no—
225C23×C73—81no—
226C23×C73—81no—
227C23×C73—81no—
228C23×C73C2×C22⋊C411yescharacteristic
229C23×C73#12011yescharacteristic
230C23×C73#12011yescharacteristic
231C23×C73#13511yescharacteristic
232C23×C73#13511yescharacteristic
233C23×C73AGL(1,ℤ/8)11yescharacteristic
234C23×C73#13711yescharacteristic
235Q8×C73—42no—
236Q8×C73—81no—
237D4×C73—42no—
238D4×C73—42no—
239D4×C73—42no—
240D4×C73—42no—
241D4×C73—42no—
242D4×C73—81no—
243D4×C73—84no—
244D4×C73—84no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—22no—
250C2×C4×C73—22no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
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—42no—
266C2×C4×C73—42no—
267C2×C4×C73—42no—
268C2×C4×C73—42no—
269C2×C4×C73—42no—
270C2×C4×C73—42no—
271C2×C4×C73—42no—
272C2×C4×C73—81no—
273C2×C4×C73—84no—
274C2×C4×C73—81no—
275C2×C4×C73—81no—
276C2×C4×C73—81no—
277C2×C4×C73—81no—
278C2×C4×C73—81no—
279C2×C4×C73—81no—
280C2×C4×C73—81no—
281C2×C4×C73—81no—
282C2×C4×C73C2×C22⋊C411yescharacteristic
283C2×C4×C73C2×C22⋊C411yescharacteristic
284C2×C4×C73#12011yescharacteristic
285C2×C4×C73#12011yescharacteristic
286C8×C73—81no—
287C8×C73—81no—
288C22×C73—21no—
289C22×C73—21no—
290C22×C73—21no—
291C22×C73—21no—
292C22×C73—21no—
293C22×C73—21no—
294C22×C73—21no—
295C22×C73—21no—
296C22×C73—21no—
297C22×C73—21no—
298C22×C73—21no—
299C22×C73—21no—
300C22×C73—44no—
301C22×C73—42no—
302C22×C73—42no—
303C22×C73—42no—
304C22×C73—42no—
305C22×C73—42no—
306C22×C73—42no—
307C22×C73—82no—
308C22×C73—82no—
309C22×C73—82no—
310C22×C73—81no—
311C22×C73—81no—
312C22×C73—81no—
313C22×C73—81no—
314C22×C73—81no—
315C22×C73—81no—
316C22×C73—81no—
317C22×C73—81no—
318C22×C73#37911yescharacteristic
319C22×C73#41611yescharacteristic
320C22×C73#41711yescharacteristic
321C22×C73#44911yescharacteristic
322C22×C73#44911yescharacteristic
323C22×C73#45211yescharacteristic
324C22×C73#45211yescharacteristic
325C22×C73#45311yescharacteristic
326C22×C73#45511yescharacteristic
327C22×C73B(4,𝔽2)11yescharacteristic
328C22×C73#45811yescharacteristic
329C4×C73—21no—
330C4×C73—21no—
331C4×C73—21no—
332C4×C73—21no—
333C4×C73—42no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73—42no—
337C4×C73—82no—
338C4×C73—82no—
339#8408C7311yesmaximal, characteristic, direct product factor, Sylow
340C2×C73—21no—
341C2×C73—21no—
342C2×C73—21no—
343C2×C73—21no—
344C2×C73—82no—
345C2×C73—82no—
346C2×C73#160011yescharacteristic
347C2×C73#160611yescharacteristic
348C2×C73#161211yescharacteristic
349C2×C73#161811yescharacteristic
350C2×C73#178811yescharacteristic
351C2×C73#179011yescharacteristic
352C2×C73#179211yescharacteristic
353C2×#538C2×C7311yescharacteristic
354#1874C2×C7311yescharacteristic, complemented
355#1872C2×C7311yescharacteristic, complemented
356C2×#328C2×C7311yescharacteristic, complemented
357C2×#327C2×C7311yescharacteristic, complemented
358C2×#323C2×C7311yescharacteristic, complemented
359#1439C2×C7311yescharacteristic, complemented
360C73#840811yescharacteristic, direct product factor, Sylow
361#538—22no—
362#538—22no—
363#538—22no—
364#538C4×C7314yescomplemented
365C2×#126—21no—
366C2×#124—21no—
367C2×#123—21no—
368C2×C22⋊Q8C22×C7311yescharacteristic
369C2×#121—21no—
370C2×#121C22×C7311yescharacteristic
371C2×#120—21no—
372C2×C4×D4—21no—
373C22×C4⋊C4C22×C7311yescharacteristic
374C22×C22⋊C4—21no—
375C22×C22⋊C4C22×C7311yescharacteristic
376C2×#103—21no—
377C2×#102—21no—
378C2×C22⋊C8C22×C7311yescharacteristic
379C2×C22⋊C8C22×C7311yescharacteristic
380C2×#95—21no—
381C2×#95C22×C7311yescharacteristic
382#340—21no—
383#340—21no—
384#328—22no—
385#327—22no—
386#323—22no—
387C25D4×C7311yescharacteristic
388C22×Q8D4×C7311yescharacteristic
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4D4×C7311yescharacteristic
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4D4×C7311yescharacteristic
397C23×C4C23×C7311yescharacteristic
398C22×C8—21no—
399C22×C8—21no—
400#126—24no—
401#126—24no—
402#124—24no—
403#124—24no—
404#123—24no—
405#123—24no—
406C22⋊Q8—21no—
407C22⋊Q8—21no—
408C22⋊Q8C2×C4×C7312yes—
409C22⋊Q8D4×C7312yes—
410#121—24no—
411#121—24no—
412#121—21no—
413#121—21no—
414#121C2×C4×C7312yes—
415#121D4×C7312yes—
416#120—24no—
417#120—24no—
418C4×D4—24no—
419C4×D4—24no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4D4×C7311yescharacteristic
426C2×C4⋊C4D4×C7311yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4C2×C4×C7312yes—
440C2×C22⋊C4D4×C7312yes—
441C2×C42—21no—
442#103—42no—
443#102—42no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8—21no—
448#95—21no—
449#95—21no—
450#95—42no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—41no—
459C24—41no—
460C24—41no—
461C24—41no—
462C24C22⋊C4×C7312yes—
463C24C2×D4×C7311yescharacteristic
464C2×Q8—21no—
465C2×Q8—41no—
466C2×Q8—41no—
467C2×Q8C22⋊C4×C7312yescomplemented
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4C22⋊C4×C7312yescomplemented
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C22⋊C4×C7312yes—
511C22×C4C22×C4×C7311yescharacteristic
512C22×C4C2×D4×C7311yescharacteristic
513C22×C4C2×D4×C7311yescharacteristic
514C22×C4C2×D4×C7311yescharacteristic
515C22×C4C2×D4×C7311yescharacteristic
516C22×C4C2×D4×C7311yescharacteristic
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4C22⋊C4×C7312yescomplemented
533C4⋊C4C22⋊C4×C7312yescomplemented
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—48no—
546C42—24no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—81no—
576C23—81no—
577C23—81no—
578C23—81no—
579C23—81no—
580C23—81no—
581C23C2×C22⋊C4×C7311yescharacteristic
582C23#120×C7311yescharacteristic
583C23#120×C7311yescharacteristic
584C23#135×C7311yescharacteristic
585C23#135×C7311yescharacteristic
586C23AGL(1,ℤ/8)×C7311yescharacteristic
587C23#137×C7311yescharacteristic
588Q8—42no—
589Q8—81no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
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—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—84no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4C2×C22⋊C4×C7311yescharacteristic
636C2×C4C2×C22⋊C4×C7311yescharacteristic
637C2×C4#120×C7311yescharacteristic
638C2×C4#120×C7311yescharacteristic
639C8—81no—
640C8—81no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22#379×C7311yescharacteristic
672C22#416×C7311yescharacteristic
673C22#417×C7311yescharacteristic
674C22#449×C7311yescharacteristic
675C22#449×C7311yescharacteristic
676C22#452×C7311yescharacteristic
677C22#452×C7311yescharacteristic
678C22#453×C7311yescharacteristic
679C22#455×C7311yescharacteristic
680C22B(4,𝔽2)×C7311yescharacteristic
681C22#458×C7311yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C2—21no—
693C2—21no—
694C2—21no—
695C2—21no—
696C2—82no—
697C2—82no—
698C2C73×#160011yescharacteristic
699C2C73×#160611yescharacteristic
700C2C73×#161211yescharacteristic
701C2C73×#161811yescharacteristic
702C2C73×#178811yescharacteristic
703C2C73×#179011yescharacteristic
704C2C73×#179211yescharacteristic
subgroupG/H
center, socleC23×C73#120
commutatorC22×C4C22×C4×C73
Frattini, cosocleC23×C4C23×C73
prime radicalC2×#538×C73C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C73 ◁ C23×C4×C73 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C73×#1874C2semidirect
3. C73×#1872C2semidirect
4. C2×#328×C73C2semidirect
5. C2×#327×C73C2semidirect
6. C2×#323×C73C2semidirect
7. C73×#1439C2semidirect
11. #538×C73C4semidirect
114. C2×Q8×C73C22⋊C4semidirect
130. C2×D4×C73C22⋊C4semidirect
179. C4⋊C4×C73C22⋊C4semidirect
180. C4⋊C4×C73C22⋊C4semidirect
339. #8408C73direct (N × H)
354. #1874C2×C73semidirect
355. #1872C2×C73semidirect
356. C2×#328C2×C73semidirect
357. C2×#327C2×C73semidirect
358. C2×#323C2×C73semidirect
359. #1439C2×C73semidirect
360. C73#8408direct (N × H)
364. #538C4×C73semidirect
467. C2×Q8C22⋊C4×C73semidirect
483. C2×D4C22⋊C4×C73semidirect
532. C4⋊C4C22⋊C4×C73semidirect
533. C4⋊C4C22⋊C4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C732
C73×#18742
C73×#18722
C2×#328×C732
C2×#327×C732
C2×#323×C732
C73×#14392
#840873