Finite Group Databasebeta

← C2×C73×#2200 #32942952

Subgroups — C2×C73×#2200 #32942952

Order 18688.

1328 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#560×C73C211yesmaximal, characteristic, complemented
2C2×#458×C73C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C73C211yesmaximal, characteristic, complemented
4C2×#453×C73C211yesmaximal, characteristic, complemented
5C73×#2200C218yesmaximal, direct product factor
6C2×#353×C73C211yesmaximal, characteristic, complemented
7C2×#352×C73C211yesmaximal, characteristic, complemented
8C2×AΣL(1,𝔽16)×C73C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C73C2211yescharacteristic
10C2×AGL(1,ℤ/8)×C73—21no—
11#560×C73—22no—
12#560×C73—22no—
13#560×C73—22no—
14#560×C73C2214yescomplemented
15C2×#127×C73C2211yescharacteristic
16C2×#126×C73—21no—
17C2×#123×C73—21no—
18C2×#123×C73—21no—
19C2×#123×C73C2211yescharacteristic
20C2×#121×C73—21no—
21C2×#121×C73—21no—
22C2×#121×C73—21no—
23C2×#120×C73—21no—
24C2×#120×C73—21no—
25C2×#120×C73C2211yescharacteristic
26#458×C73—22no—
27#458×C73C2214yescomplemented
28B(4,𝔽2)×C73—22no—
29B(4,𝔽2)×C73C2214yescomplemented
30#453×C73—22no—
31#453×C73C2214yescomplemented
32C2×#104×C73—21no—
33C2×#100×C73C2211yescharacteristic
34C2×#99×C73—21no—
35C2×#99×C73—21no—
36C2×#99×C73C2211yescharacteristic
37C2×#99×C73C2211yescharacteristic
38#353×C73C2214yescomplemented
39#352×C73C2214yescomplemented
40AΣL(1,𝔽16)×C73C2214yescomplemented
41C25×C73D411yescharacteristic
42H(5,𝔽2)×C73—21no—
43H(5,𝔽2)×C73—21no—
44H(5,𝔽2)×C73—21no—
45H(5,𝔽2)×C73—42no—
46H(5,𝔽2)×C73C2312yes—
47C2×#41×C73—21no—
48C2×#41×C73—41no—
49C22×D4×C73—21no—
50C22×D4×C73—21no—
51C22×D4×C73—21no—
52C22×D4×C73—21no—
53C22×D4×C73—21no—
54C22×D4×C73—21no—
55C22×D4×C73—21no—
56C22×D4×C73—41no—
57C22×D4×C73—41no—
58C22×D4×C73D411yescharacteristic, complemented
59C22×D4×C73C2311yescharacteristic
60C23×C4×C73—21no—
61C23×C4×C73D411yescharacteristic, complemented
62AGL(1,ℤ/8)×C73—24no—
63AGL(1,ℤ/8)×C73—42no—
64C2×SD16×C73—41no—
65C2×D8×C73—41no—
66C2×M16×C73—21no—
67#127×C73—21no—
68#127×C73—21no—
69#127×C73D412yescomplemented
70#127×C73C2312yes—
71#126×C73—24no—
72#126×C73—24no—
73#123×C73—24no—
74#123×C73—21no—
75#123×C73—21no—
76#123×C73—24no—
77#123×C73—24no—
78#123×C73—42no—
79#123×C73D412yescomplemented
80#123×C73C2312yes—
81#121×C73—24no—
82#121×C73—24no—
83#121×C73—24no—
84#121×C73—24no—
85#121×C73—24no—
86#121×C73—24no—
87#120×C73—24no—
88#120×C73—24no—
89#120×C73—21no—
90#120×C73—21no—
91#120×C73—24no—
92#120×C73—42no—
93#120×C73D412yes—
94#120×C73C2312yes—
95C2×C4⋊C4×C73—21no—
96C2×C4⋊C4×C73—21no—
97C2×C4⋊C4×C73—21no—
98C2×C4⋊C4×C73—41no—
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
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×C22⋊C4×C73—41no—
107C2×C22⋊C4×C73—41no—
108C2×C22⋊C4×C73D411yescharacteristic
109C2×C22⋊C4×C73D411yescharacteristic, complemented
110C2×C42×C73D411yescharacteristic, complemented
111#104×C73—24no—
112#100×C73—21no—
113#100×C73C2312yes—
114#99×C73—21no—
115#99×C73—21no—
116#99×C73—24no—
117#99×C73—24no—
118#99×C73C2312yes—
119#99×C73C2312yes—
120C24×C73—21no—
121C24×C73—21no—
122C24×C73—21no—
123C24×C73—21no—
124C24×C73—21no—
125C24×C73—41no—
126C24×C73—41no—
127C24×C73—82no—
128C24×C73C2×D411yescharacteristic
129C24×C73C2×D411yescharacteristic
130C24×C73C2×D412yes—
131#41×C73—22no—
132#41×C73—22no—
133#41×C73—42no—
134#41×C73—41no—
135#41×C73—42no—
136#41×C73—42no—
137#41×C73—42no—
138#41×C73—41no—
139C2×Q8×C73—21no—
140C2×D4×C73—21no—
141C2×D4×C73—22no—
142C2×D4×C73—22no—
143C2×D4×C73—22no—
144C2×D4×C73—22no—
145C2×D4×C73—24no—
146C2×D4×C73—24no—
147C2×D4×C73—22no—
148C2×D4×C73—22no—
149C2×D4×C73—22no—
150C2×D4×C73—22no—
151C2×D4×C73—22no—
152C2×D4×C73—22no—
153C2×D4×C73—21no—
154C2×D4×C73—41no—
155C2×D4×C73—41no—
156C2×D4×C73—41no—
157C2×D4×C73—41no—
158C2×D4×C73—42no—
159C2×D4×C73—42no—
160C2×D4×C73—41no—
161C2×D4×C73—41no—
162C2×D4×C73—41no—
163C2×D4×C73—41no—
164C2×D4×C73—42no—
165C2×D4×C73—42no—
166C2×D4×C73—41no—
167C2×D4×C73—41no—
168C2×D4×C73—41no—
169C2×D4×C73—44no—
170C2×D4×C73—82no—
171C2×D4×C73—82no—
172C2×D4×C73—82no—
173C2×D4×C73—82no—
174C2×D4×C73—81no—
175C2×D4×C73—81no—
176C2×D4×C73—84no—
177C2×D4×C73C2×D411yescharacteristic
178C2×D4×C73C2×D411yescharacteristic
179C2×D4×C73C2×D411yescharacteristic
180C2×D4×C73C2×D412yescomplemented
181C2×D4×C73C2411yescharacteristic
182C22×C4×C73—21no—
183C22×C4×C73—21no—
184C22×C4×C73—21no—
185C22×C4×C73—21no—
186C22×C4×C73—21no—
187C22×C4×C73—21no—
188C22×C4×C73—24no—
189C22×C4×C73—21no—
190C22×C4×C73—41no—
191C22×C4×C73—41no—
192C22×C4×C73—41no—
193C22×C4×C73—41no—
194C22×C4×C73—41no—
195C22×C4×C73—82no—
196C22×C4×C73C2×D411yescharacteristic
197C22×C4×C73C2×D412yescomplemented
198SD16×C73—44no—
199D8×C73—44no—
200M16×C73—22no—
201M16×C73—41no—
202C2×C8×C73—41no—
203C4⋊C4×C73—24no—
204C4⋊C4×C73—24no—
205C4⋊C4×C73—22no—
206C4⋊C4×C73—22no—
207C4⋊C4×C73—44no—
208C22⋊C4×C73—24no—
209C22⋊C4×C73—24no—
210C22⋊C4×C73—24no—
211C22⋊C4×C73—22no—
212C22⋊C4×C73—21no—
213C22⋊C4×C73—21no—
214C22⋊C4×C73—22no—
215C22⋊C4×C73—22no—
216C22⋊C4×C73—22no—
217C22⋊C4×C73—22no—
218C22⋊C4×C73—22no—
219C22⋊C4×C73—44no—
220C22⋊C4×C73—41no—
221C22⋊C4×C73—41no—
222C22⋊C4×C73—44no—
223C22⋊C4×C73C2×D412yes—
224C22⋊C4×C73C2×D412yescomplemented
225C42×C73—21no—
226C42×C73C2×D412yescomplemented
227C23×C73—21no—
228C23×C73—21no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73—22no—
232C23×C73—22no—
233C23×C73—22no—
234C23×C73—22no—
235C23×C73—42no—
236C23×C73—42no—
237C23×C73—42no—
238C23×C73—42no—
239C23×C73—42no—
240C23×C73—42no—
241C23×C73—42no—
242C23×C73—41no—
243C23×C73—41no—
244C23×C73—44no—
245C23×C73—41no—
246C23×C73—41no—
247C23×C73—41no—
248C23×C73—41no—
249C23×C73—41no—
250C23×C73—81no—
251C23×C73—82no—
252C23×C73—82no—
253C23×C73—82no—
254C23×C73—84no—
255C23×C73—82no—
256C23×C73—82no—
257C23×C73#12011yescharacteristic
258C23×C73#12011yescharacteristic
259C23×C73#12011yescharacteristic
260C23×C73C22×D411yescharacteristic
261C23×C73C22×D411yescharacteristic
262Q8×C73—22no—
263Q8×C73—41no—
264D4×C73—22no—
265D4×C73—41no—
266D4×C73—41no—
267D4×C73—41no—
268D4×C73—41no—
269D4×C73—42no—
270D4×C73—41no—
271D4×C73—42no—
272D4×C73—42no—
273D4×C73—42no—
274D4×C73—42no—
275D4×C73—42no—
276D4×C73—42no—
277D4×C73—81no—
278D4×C73—82no—
279D4×C73—82no—
280D4×C73—84no—
281D4×C73—82no—
282D4×C73—82no—
283D4×C73—82no—
284D4×C73—82no—
285D4×C73—84no—
286D4×C73—88no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—22no—
290C2×C4×C73—22no—
291C2×C4×C73—22no—
292C2×C4×C73—22no—
293C2×C4×C73—22no—
294C2×C4×C73—22no—
295C2×C4×C73—42no—
296C2×C4×C73—42no—
297C2×C4×C73—42no—
298C2×C4×C73—42no—
299C2×C4×C73—41no—
300C2×C4×C73—41no—
301C2×C4×C73—42no—
302C2×C4×C73—41no—
303C2×C4×C73—41no—
304C2×C4×C73—41no—
305C2×C4×C73—42no—
306C2×C4×C73—42no—
307C2×C4×C73—42no—
308C2×C4×C73—81no—
309C2×C4×C73—84no—
310C2×C4×C73—82no—
311C2×C4×C73—82no—
312C2×C4×C73#12011yescharacteristic
313C2×C4×C73C22×D411yescharacteristic
314C8×C73—42no—
315C22×C73—22no—
316C22×C73—21no—
317C22×C73—21no—
318C22×C73—21no—
319C22×C73—21no—
320C22×C73—41no—
321C22×C73—41no—
322C22×C73—41no—
323C22×C73—41no—
324C22×C73—42no—
325C22×C73—42no—
326C22×C73—42no—
327C22×C73—42no—
328C22×C73—42no—
329C22×C73—42no—
330C22×C73—44no—
331C22×C73—42no—
332C22×C73—42no—
333C22×C73—42no—
334C22×C73—81no—
335C22×C73—81no—
336C22×C73—82no—
337C22×C73—82no—
338C22×C73—82no—
339C22×C73—82no—
340C22×C73—82no—
341C22×C73—84no—
342C22×C73—82no—
343C22×C73—82no—
344C22×C73—82no—
345C22×C73—161no—
346C22×C73—161no—
347C22×C73B(4,𝔽2)11yescharacteristic
348C22×C73B(4,𝔽2)11yescharacteristic
349C22×C73C2×#12011yescharacteristic
350C4×C73—21no—
351C4×C73—21no—
352C4×C73—42no—
353C4×C73—42no—
354C4×C73—42no—
355C4×C73—42no—
356C4×C73—42no—
357C4×C73—82no—
358C4×C73—82no—
359C2×#2200C7311yesmaximal, characteristic, direct product factor, Sylow
360C2×C73—21no—
361C2×C73—21no—
362C2×C73—41no—
363C2×C73—41no—
364C2×C73—41no—
365C2×C73—41no—
366C2×C73—82no—
367C2×C73—82no—
368C2×C73—82no—
369C2×C73#220012yesdirect product factor
370C2×C73C2×B(4,𝔽2)11yescharacteristic
371C2×#560C2×C7311yescharacteristic, complemented
372C2×#458C2×C7311yescharacteristic, complemented
373C2×B(4,𝔽2)C2×C7311yescharacteristic, complemented
374C2×#453C2×C7311yescharacteristic, complemented
375#2200C2×C7318yesdirect product factor
376C2×#353C2×C7311yescharacteristic, complemented
377C2×#352C2×C7311yescharacteristic, complemented
378C2×AΣL(1,𝔽16)C2×C7311yescharacteristic, complemented
379C73C2×#220011yescharacteristic, direct product factor, Sylow
380C2×H(5,𝔽2)C22×C7311yescharacteristic
381C2×AGL(1,ℤ/8)—21no—
382#560—22no—
383#560—22no—
384#560—22no—
385#560C22×C7314yescomplemented
386C2×#127C22×C7311yescharacteristic
387C2×#126—21no—
388C2×#123—21no—
389C2×#123—21no—
390C2×#123C22×C7311yescharacteristic
391C2×#121—21no—
392C2×#121—21no—
393C2×#121—21no—
394C2×#120—21no—
395C2×#120—21no—
396C2×#120C22×C7311yescharacteristic
397#458—22no—
398#458C22×C7314yescomplemented
399B(4,𝔽2)—22no—
400B(4,𝔽2)C22×C7314yescomplemented
401#453—22no—
402#453C22×C7314yescomplemented
403C2×#104—21no—
404C2×#100C22×C7311yescharacteristic
405C2×#99—21no—
406C2×#99—21no—
407C2×#99C22×C7311yescharacteristic
408C2×#99C22×C7311yescharacteristic
409#353C22×C7314yescomplemented
410#352C22×C7314yescomplemented
411AΣL(1,𝔽16)C22×C7314yescomplemented
412C25D4×C7311yescharacteristic
413H(5,𝔽2)—21no—
414H(5,𝔽2)—21no—
415H(5,𝔽2)—21no—
416H(5,𝔽2)—42no—
417H(5,𝔽2)C23×C7312yes—
418C2×#41—21no—
419C2×#41—41no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4D4×C7311yescharacteristic, complemented
430C22×D4C23×C7311yescharacteristic
431C23×C4—21no—
432C23×C4D4×C7311yescharacteristic, complemented
433AGL(1,ℤ/8)—24no—
434AGL(1,ℤ/8)—42no—
435C2×SD16—41no—
436C2×D8—41no—
437C2×M16—21no—
438#127—21no—
439#127—21no—
440#127D4×C7312yescomplemented
441#127C23×C7312yes—
442#126—24no—
443#126—24no—
444#123—24no—
445#123—21no—
446#123—21no—
447#123—24no—
448#123—24no—
449#123—42no—
450#123D4×C7312yescomplemented
451#123C23×C7312yes—
452#121—24no—
453#121—24no—
454#121—24no—
455#121—24no—
456#121—24no—
457#121—24no—
458#120—24no—
459#120—24no—
460#120—21no—
461#120—21no—
462#120—24no—
463#120—42no—
464#120D4×C7312yes—
465#120C23×C7312yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—41no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—41no—
478C2×C22⋊C4—41no—
479C2×C22⋊C4D4×C7311yescharacteristic
480C2×C22⋊C4D4×C7311yescharacteristic, complemented
481C2×C42D4×C7311yescharacteristic, complemented
482#104—24no—
483#100—21no—
484#100C23×C7312yes—
485#99—21no—
486#99—21no—
487#99—24no—
488#99—24no—
489#99C23×C7312yes—
490#99C23×C7312yes—
491C24—21no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—21no—
496C24—41no—
497C24—41no—
498C24—82no—
499C24C2×D4×C7311yescharacteristic
500C24C2×D4×C7311yescharacteristic
501C24C2×D4×C7312yes—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—41no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—41no—
510C2×Q8—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—41no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—41no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—41no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—44no—
541C2×D4—82no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4—82no—
545C2×D4—81no—
546C2×D4—81no—
547C2×D4—84no—
548C2×D4C2×D4×C7311yescharacteristic
549C2×D4C2×D4×C7311yescharacteristic
550C2×D4C2×D4×C7311yescharacteristic
551C2×D4C2×D4×C7312yescomplemented
552C2×D4C24×C7311yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—21no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—82no—
567C22×C4C2×D4×C7311yescharacteristic
568C22×C4C2×D4×C7312yescomplemented
569SD16—44no—
570D8—44no—
571M16—22no—
572M16—41no—
573C2×C8—41no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—44no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—44no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4C2×D4×C7312yes—
595C22⋊C4C2×D4×C7312yescomplemented
596C42—21no—
597C42C2×D4×C7312yescomplemented
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—44no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—84no—
626C23—82no—
627C23—82no—
628C23#120×C7311yescharacteristic
629C23#120×C7311yescharacteristic
630C23#120×C7311yescharacteristic
631C23C22×D4×C7311yescharacteristic
632C23C22×D4×C7311yescharacteristic
633Q8—22no—
634Q8—41no—
635D4—22no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—42no—
641D4—41no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—84no—
657D4—88no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—81no—
680C2×C4—84no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#120×C7311yescharacteristic
684C2×C4C22×D4×C7311yescharacteristic
685C8—42no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—84no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—161no—
717C22—161no—
718C22B(4,𝔽2)×C7311yescharacteristic
719C22B(4,𝔽2)×C7311yescharacteristic
720C22C2×#120×C7311yescharacteristic
721C4—21no—
722C4—21no—
723C4—42no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—82no—
729C4—82no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—82no—
739C2C73×#220012yesdirect product factor
740C2C2×B(4,𝔽2)×C7311yescharacteristic
subgroupG/H
center, socleC22×C73B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C73
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ C23×C73 ◁ C22×D4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#560×C73C2semidirect
2. C2×#458×C73C2semidirect
3. C2×B(4,𝔽2)×C73C2semidirect
4. C2×#453×C73C2semidirect
5. C73×#2200C2direct (N × H)
6. C2×#353×C73C2semidirect
7. C2×#352×C73C2semidirect
8. C2×AΣL(1,𝔽16)×C73C2semidirect
14. #560×C73C22semidirect
27. #458×C73C22semidirect
29. B(4,𝔽2)×C73C22semidirect
31. #453×C73C22semidirect
38. #353×C73C22semidirect
39. #352×C73C22semidirect
40. AΣL(1,𝔽16)×C73C22semidirect
58. C22×D4×C73D4semidirect
61. C23×C4×C73D4semidirect
69. #127×C73D4semidirect
79. #123×C73D4semidirect
109. C2×C22⋊C4×C73D4semidirect
110. C2×C42×C73D4semidirect
180. C2×D4×C73C2×D4semidirect
197. C22×C4×C73C2×D4semidirect
224. C22⋊C4×C73C2×D4semidirect
226. C42×C73C2×D4semidirect
359. C2×#2200C73direct (N × H)
369. C2×C73#2200direct (N × H)
371. C2×#560C2×C73semidirect
372. C2×#458C2×C73semidirect
373. C2×B(4,𝔽2)C2×C73semidirect
374. C2×#453C2×C73semidirect
375. #2200C2×C73direct (N × H)
376. C2×#353C2×C73semidirect
377. C2×#352C2×C73semidirect
378. C2×AΣL(1,𝔽16)C2×C73semidirect
379. C73C2×#2200direct (N × H)
385. #560C22×C73semidirect
398. #458C22×C73semidirect
400. B(4,𝔽2)C22×C73semidirect
402. #453C22×C73semidirect
409. #353C22×C73semidirect
410. #352C22×C73semidirect
411. AΣL(1,𝔽16)C22×C73semidirect
429. C22×D4D4×C73semidirect
432. C23×C4D4×C73semidirect
440. #127D4×C73semidirect
450. #123D4×C73semidirect
480. C2×C22⋊C4D4×C73semidirect
481. C2×C42D4×C73semidirect
551. C2×D4C2×D4×C73semidirect
568. C22×C4C2×D4×C73semidirect
595. C22⋊C4C2×D4×C73semidirect
597. C42C2×D4×C73semidirect
739. C2C73×#2200direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#560×C732
C2×#458×C732
C2×B(4,𝔽2)×C732
C2×#453×C732
C73×#22002
C2×#353×C732
C2×#352×C732
C2×AΣL(1,𝔽16)×C732
C2×#220073