Finite Group Databasebeta

← #33008912

Subgroups — #33008912

Order 18688.

1470 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988473C212yesmaximal
2C2×#17988457C211yesmaximal, characteristic
3C2×C4⋊C4×Dic73C211yesmaximal, characteristic
4#22608188C212yesmaximal
5#22608184C212yesmaximal
6#22608165C212yesmaximal
7#22608160C211yesmaximal, characteristic
8#22608160C211yesmaximal, characteristic
9#22608160C211yesmaximal, characteristic
10C4×#14556498C211yesmaximal, characteristic
11C2×#389×C73C211yesmaximal, characteristic
12C22×C4⋊Dic73C2211yescharacteristic
13C22×C4⋊Dic73C2212yes—
14C22×C4⋊Dic73C2212yes—
15C22×C4⋊Dic73C2211yescharacteristic
16C22×C4×Dic73C2211yescharacteristic
17C22×C4×Dic73C2212yes—
18C22×C4×Dic73C2211yescharacteristic
19#17988473—28no—
20#17988457—24no—
21C4⋊C4×Dic73—24no—
22C2×#14556498C2211yescharacteristic
23C2×#14556498C2211yescharacteristic
24C2×#14556498C2212yes—
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C2×#14556498C2211yescharacteristic
32C2×#14556498C2211yescharacteristic
33C22×C4⋊C4×C73C2211yescharacteristic
34C22×C4⋊C4×C73C2211yescharacteristic
35C22×C4⋊C4×C73C2212yes—
36C22×C42×C73C2211yescharacteristic
37#389×C73C418yescomplemented
38C2×#95×C73C2212yes—
39C23×Dic73C2312yes—
40C23×Dic73C2311yescharacteristic
41C23×Dic73C2312yes—
42C23×Dic73C2311yescharacteristic
43C23×Dic73C2311yescharacteristic
44C23×Dic73C2311yescharacteristic
45C2×C4⋊Dic73—24no—
46C2×C4⋊Dic73—24no—
47C2×C4⋊Dic73—22no—
48C2×C4⋊Dic73—24no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—22no—
51C2×C4⋊Dic73—22no—
52C2×C4⋊Dic73—24no—
53C2×C4⋊Dic73—22no—
54C2×C4⋊Dic73—42no—
55C2×C4⋊Dic73—42no—
56C2×C4⋊Dic73D414yes—
57C2×C4×Dic73—24no—
58C2×C4×Dic73—24no—
59C2×C4×Dic73—22no—
60C2×C4×Dic73—22no—
61C2×C4×Dic73—22no—
62C2×C4×Dic73—22no—
63C2×C4×Dic73—22no—
64C2×C4×Dic73—42no—
65C2×C4×Dic73Q814yes—
66#14556498—24no—
67#14556498—24no—
68#14556498—24no—
69#14556498—24no—
70#14556498—22no—
71#14556498—22no—
72#14556498—42no—
73#14556498—42no—
74#14556498—42no—
75#14556498D414yes—
76#14556498Q814yes—
77C23×C4×C73C2312yes—
78C23×C4×C73C2312yes—
79C23×C4×C73C2311yescharacteristic
80C23×C4×C73C2311yescharacteristic
81C23×C4×C73C2311yescharacteristic
82C2×C4⋊C4×C73—22no—
83C2×C4⋊C4×C73—24no—
84C2×C4⋊C4×C73—22no—
85C2×C4⋊C4×C73—22no—
86C2×C4⋊C4×C73—24no—
87C2×C4⋊C4×C73—22no—
88C2×C4⋊C4×C73C2×C414yes—
89C2×C4⋊C4×C73C2×C418yes—
90C2×C4⋊C4×C73C2×C414yes—
91C2×C42×C73—22no—
92C2×C42×C73—22no—
93C2×C42×C73C2×C414yes—
94#95×C73C2×C418yes—
95C22×Dic73—21no—
96C22×Dic73—21no—
97C22×Dic73—21no—
98C22×Dic73—21no—
99C22×Dic73—21no—
100C22×Dic73—22no—
101C22×Dic73—21no—
102C22×Dic73—21no—
103C22×Dic73—21no—
104C22×Dic73—21no—
105C22×Dic73—21no—
106C22×Dic73—21no—
107C22×Dic73—21no—
108C22×Dic73—21no—
109C22×Dic73—21no—
110C22×Dic73—21no—
111C22×Dic73—21no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—21no—
116C22×Dic73—21no—
117C22×Dic73—21no—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73—21no—
121C22×Dic73—21no—
122C22×Dic73—21no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73—22no—
129C22×Dic73—22no—
130C22×Dic73C2×D412yes—
131C22×Dic73C2×D414yes—
132C22×Dic73C2×D412yes—
133C22×Dic73C2×Q812yes—
134C22×Dic73C2×Q812yes—
135C22×Dic73C2×Q812yes—
136C22×Dic73C2×Q812yes—
137C4⋊Dic73—28no—
138C4⋊Dic73—48no—
139C4⋊Dic73—48no—
140C4⋊Dic73—44no—
141C4×Dic73—28no—
142C4×Dic73—48no—
143C4×Dic73—44no—
144C24×C73C2411yescharacteristic
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—22no—
154C22×C4×C73—22no—
155C22×C4×C73—22no—
156C22×C4×C73—22no—
157C22×C4×C73—22no—
158C22×C4×C73—22no—
159C22×C4×C73—22no—
160C22×C4×C73—22no—
161C22×C4×C73—22no—
162C22×C4×C73—22no—
163C22×C4×C73—22no—
164C22×C4×C73—22no—
165C22×C4×C73C22×C414yes—
166C22×C4×C73C22×C414yes—
167C22×C4×C73C22×C412yes—
168C22×C4×C73C22×C412yes—
169C22×C4×C73C22×C412yes—
170C22×C4×C73C2×D412yes—
171C22×C4×C73C2×D412yes—
172C22×C4×C73C2×Q812yes—
173C22×C4×C73C2×Q812yes—
174C22×C4×C73#4112yes—
175C22×C4×C73#4112yes—
176C22×C4×C73#4112yes—
177C22×C4×C73#4112yes—
178C22×C4×C73#4112yes—
179C22×C4×C73#4112yes—
180C4⋊C4×C73—28no—
181C4⋊C4×C73—216no—
182C4⋊C4×C73—28no—
183C42×C73—28no—
184C23×C73C23×C411yescharacteristic
185C23×C73C22×D411yescharacteristic
186C23×C73C22×D411yescharacteristic
187C23×C73C22×Q811yescharacteristic
188C23×C73C22×Q811yescharacteristic
189C23×C73C2×#4111yescharacteristic
190C23×C73C2×#4111yescharacteristic
191C23×C73C2×#4111yescharacteristic
192C23×C73C2×#4111yescharacteristic
193C23×C73C2×#4111yescharacteristic
194C23×C73C2×#4111yescharacteristic
195C23×C73H(5,𝔽2)11yescharacteristic
196C23×C73H(5,𝔽2)11yescharacteristic
197C23×C732−1+411yescharacteristic
198C23×C732−1+411yescharacteristic
199C2×C4×C73—22no—
200C2×C4×C73—22no—
201C2×C4×C73—22no—
202C2×C4×C73—22no—
203C2×C4×C73—22no—
204C2×C4×C73—22no—
205C2×C4×C73—22no—
206C2×C4×C73—22no—
207C2×C4×C73—22no—
208C2×C4×C73—22no—
209C2×C4×C73—22no—
210C2×C4×C73—22no—
211C2×C4×C73—24no—
212C2×C4×C73—24no—
213C2×C4×C73—24no—
214C2×C4×C73—24no—
215C2×C4×C73—24no—
216C2×C4×C73—24no—
217C2×C4×C73—42no—
218C2×C4×C73—42no—
219C2×C4×C73—42no—
220C2×C4×C73—42no—
221C2×C4×C73—42no—
222C2×C4×C73—42no—
223C2×C4×C73—42no—
224C2×C4×C73—42no—
225C2×C4×C73#11714yes—
226C2×C4×C73C4×D414yes—
227C2×C4×C73C4×D414yes—
228C2×C4×C73C4×Q814yes—
229C2×C4×C73C4×Q814yes—
230C2×C4×C73C22⋊Q814yes—
231C2×C4×C73#12314yes—
232C2×C4×C73#12514yes—
233C2×C4×C73#12614yes—
234C2×Dic73—22no—
235C2×Dic73—22no—
236C2×Dic73—22no—
237C2×Dic73—22no—
238C2×Dic73—22no—
239C2×Dic73—22no—
240C2×Dic73—22no—
241C2×Dic73—24no—
242C2×Dic73—22no—
243C2×Dic73—22no—
244C2×Dic73—22no—
245C2×Dic73—22no—
246C2×Dic73—24no—
247C2×Dic73—24no—
248C2×Dic73—22no—
249C2×Dic73—22no—
250C2×Dic73—22no—
251C2×Dic73—22no—
252C2×Dic73—41no—
253C2×Dic73—41no—
254C2×Dic73—42no—
255C2×Dic73—42no—
256C2×Dic73—41no—
257C2×Dic73—41no—
258C2×Dic73—41no—
259C2×Dic73—41no—
260C2×Dic73—42no—
261C2×Dic73—41no—
262C2×Dic73—41no—
263C2×Dic73—41no—
264C2×Dic73—41no—
265C2×Dic73—41no—
266C2×Dic73—41no—
267C2×Dic73—42no—
268C2×Dic73—42no—
269C2×Dic73—42no—
270C2×Dic73—42no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73C4⋊Q814yes—
276C22×C73C2×#11711yescharacteristic
277C22×C73C2×C4×D411yescharacteristic
278C22×C73C2×C4×D411yescharacteristic
279C22×C73C2×C4×Q811yescharacteristic
280C22×C73C2×C4×Q811yescharacteristic
281C22×C73#52011yescharacteristic
282C22×C73#52011yescharacteristic
283C22×C73C2×C22⋊Q811yescharacteristic
284C22×C73C2×#12311yescharacteristic
285C22×C73C2×#12511yescharacteristic
286C22×C73C2×#12611yescharacteristic
287C22×C73C2×C4⋊Q811yescharacteristic
288C22×C73#53211yescharacteristic
289C22×C73#53311yescharacteristic
290C22×C73#53311yescharacteristic
291C22×C73#54011yescharacteristic
292C22×C73#54111yescharacteristic
293C22×C73#54411yescharacteristic
294C22×C73#54411yescharacteristic
295C22×C73D4211yescharacteristic
296C22×C73#54611yescharacteristic
297C22×C73#54711yescharacteristic
298C22×C73#54711yescharacteristic
299C22×C73#54811yescharacteristic
300C22×C73D4×Q811yescharacteristic
301C22×C73#55011yescharacteristic
302C22×C73#55211yescharacteristic
303C22×C73#55311yescharacteristic
304C22×C73#55411yescharacteristic
305C22×C73#55411yescharacteristic
306C22×C73#55511yescharacteristic
307C22×C73#55611yescharacteristic
308C22×C73#55611yescharacteristic
309C22×C73#55711yescharacteristic
310C22×C73#55911yescharacteristic
311C4×C73—24no—
312C4×C73—24no—
313C4×C73—44no—
314C4×C73—44no—
315C4×C73#38718yescomplemented
316Dic73—24no—
317Dic73—42no—
318Dic73—44no—
319Dic73—42no—
320Dic73—42no—
321Dic73—82no—
322#13981—731nomaximal, Sylow
323C2×C73C2×#38711yescharacteristic
324C2×C73C4×C4⋊Q811yescharacteristic
325C2×C73#233011yescharacteristic
326C2×C73#235411yescharacteristic
327C2×C73#235511yescharacteristic
328C2×C73#236011yescharacteristic
329C2×C73#236111yescharacteristic
330C2×C73#243911yescharacteristic
331C2×C73#244011yescharacteristic
332C2×C73#244511yescharacteristic
333C2×C73#244611yescharacteristic
334C2×C73#249611yescharacteristic
335C2×C73#249711yescharacteristic
336C2×C73#255211yescharacteristic
337C2×C73#257011yescharacteristic
338C2×#389D7311yescharacteristic
339C2×#387—732no—
340C2×#384—731no—
341C2×C4×C4⋊C4—731no—
342#1442—732no—
343#1441—732no—
344#1436—732no—
345C4⋊#95—731no—
346C4⋊#95—731no—
347C4⋊#95—731no—
348C4×#95—731no—
349C73#1398111yescharacteristic, complemented, Sylow
350C22×C4⋊C4—732no—
351C22×C4⋊C4—732no—
352C22×C4⋊C4—731no—
353C22×C4⋊C4—731no—
354C22×C4⋊C4C2×D7311yescharacteristic
355C22×C4⋊C4C2×D7311yescharacteristic
356C22×C4⋊C4C2×D7312yes—
357C22×C42—732no—
358C22×C42—731no—
359C22×C42—731no—
360C22×C42C2×D7311yescharacteristic
361#389Dic7318yescomplemented
362#387—1468no—
363#384—1464no—
364C4×C4⋊C4—1464no—
365C2×#95—732no—
366C2×#95—732no—
367C2×#95—732no—
368C2×#95—731no—
369C2×#95—731no—
370C2×#95—731no—
371C2×#95—731no—
372C2×#95—732no—
373C2×#95—732no—
374C2×#95—732no—
375C2×#95—732no—
376C2×#95C2×D7312yes—
377C23×C4—731no—
378C23×C4—732no—
379C23×C4—731no—
380C23×C4—731no—
381C23×C4—731no—
382C23×C4—732no—
383C23×C4C22×D7312yes—
384C23×C4C22×D7312yes—
385C23×C4C22×D7311yescharacteristic
386C23×C4C22×D7311yescharacteristic
387C23×C4C22×D7311yescharacteristic
388C2×C4⋊C4—22no—
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—2922no—
395C2×C4⋊C4—2922no—
396C2×C4⋊C4—734no—
397C2×C4⋊C4—1464no—
398C2×C4⋊C4—1464no—
399C2×C4⋊C4—1462no—
400C2×C4⋊C4—1464no—
401C2×C4⋊C4—1462no—
402C2×C4⋊C4—1464no—
403C2×C4⋊C4—1462no—
404C2×C4⋊C4—1462no—
405C2×C4⋊C4—1462no—
406C2×C4⋊C4C2×Dic7314yes—
407C2×C4⋊C4C2×Dic7318yes—
408C2×C4⋊C4C2×Dic7314yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—2922no—
412C2×C42—734no—
413C2×C42—1464no—
414C2×C42—1464no—
415C2×C42—1462no—
416C2×C42—1462no—
417C2×C42—1462no—
418C2×C42—1462no—
419C2×C42—1462no—
420C2×C42C2×Dic7314yes—
421#95—2922no—
422#95—2922no—
423#95—2922no—
424#95—734no—
425#95—734no—
426#95—1464no—
427#95—1464no—
428#95—1464no—
429#95—1464no—
430#95—1462no—
431#95—1462no—
432#95C2×Dic7318yes—
433C24C23×D7311yescharacteristic
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—732no—
455C22×C4—732no—
456C22×C4—732no—
457C22×C4—732no—
458C22×C4—734no—
459C22×C4—732no—
460C22×C4—732no—
461C22×C4—1462no—
462C22×C4—1462no—
463C22×C4—1462no—
464C22×C4—1462no—
465C22×C4—1462no—
466C22×C4—1462no—
467C22×C4—1462no—
468C22×C4—1461no—
469C22×C4—1462no—
470C22×C4—1461no—
471C22×C4—1461no—
472C22×C4—1461no—
473C22×C4—1461no—
474C22×C4—1461no—
475C22×C4—1461no—
476C22×C4—1461no—
477C22×C4—1462no—
478C22×C4—1461no—
479C22×C4—1461no—
480C22×C4—1461no—
481C22×C4—1461no—
482C22×C4—1462no—
483C22×C4—1462no—
484C22×C4—1461no—
485C22×C4—1461no—
486C22×C4—1461no—
487C22×C4—1462no—
488C22×C4—1462no—
489C22×C4—1461no—
490C22×C4—1461no—
491C22×C4—1461no—
492C22×C4—1461no—
493C22×C4—1461no—
494C22×C4—1461no—
495C22×C4—1461no—
496C22×C4C22×Dic7314yes—
497C22×C4C22×Dic7314yes—
498C22×C4C22×Dic7312yes—
499C22×C4C22×Dic7312yes—
500C22×C4C22×Dic7312yes—
501C22×C4D4×D7312yes—
502C22×C4D4×D7312yes—
503C22×C4Q8×D7312yes—
504C22×C4Q8×D7312yes—
505C22×C4#1192402712yes—
506C22×C4#1192402712yes—
507C22×C4#1192402812yes—
508C22×C4#1192402812yes—
509C22×C4#1192402912yes—
510C22×C4#1192402912yes—
511C4⋊C4—28no—
512C4⋊C4—216no—
513C4⋊C4—28no—
514C4⋊C4—2928no—
515C4⋊C4—2928no—
516C4⋊C4—2924no—
517C4⋊C4—1468no—
518C42—28no—
519C42—2928no—
520C42—2924no—
521C42—1468no—
522C23C23×Dic7311yescharacteristic
523C23C2×D4×D7311yescharacteristic
524C23C2×D4×D7311yescharacteristic
525C23C2×Q8×D7311yescharacteristic
526C23C2×Q8×D7311yescharacteristic
527C23C2×#1192402711yescharacteristic
528C23C2×#1192402711yescharacteristic
529C23C2×#1192402811yescharacteristic
530C23C2×#1192402811yescharacteristic
531C23C2×#1192402911yescharacteristic
532C23C2×#1192402911yescharacteristic
533C23#1455663711yescharacteristic
534C23#1455663711yescharacteristic
535C23#1455663811yescharacteristic
536C23#1455663811yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—24no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—24no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—42no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—2922no—
564C2×C4—2921no—
565C2×C4—2922no—
566C2×C4—2921no—
567C2×C4—2921no—
568C2×C4—2921no—
569C2×C4—2922no—
570C2×C4—2921no—
571C2×C4—2921no—
572C2×C4—2921no—
573C2×C4—2921no—
574C2×C4—2921no—
575C2×C4—2921no—
576C2×C4—2922no—
577C2×C4—2921no—
578C2×C4—2921no—
579C2×C4—2922no—
580C2×C4—2922no—
581C2×C4—2922no—
582C2×C4—2922no—
583C2×C4—2922no—
584C2×C4—2922no—
585C2×C4—2922no—
586C2×C4—734no—
587C2×C4—1462no—
588C2×C4—1462no—
589C2×C4—1462no—
590C2×C4—1462no—
591C2×C4—1464no—
592C2×C4—1464no—
593C2×C4—1462no—
594C2×C4—1462no—
595C2×C4—1462no—
596C2×C4—1462no—
597C2×C4—1462no—
598C2×C4—1464no—
599C2×C4—1462no—
600C2×C4—1462no—
601C2×C4—1462no—
602C2×C4—1462no—
603C2×C4—1462no—
604C2×C4—1462no—
605C2×C4#1455655014yes—
606C2×C4D4×Dic7314yes—
607C2×C4D4×Dic7314yes—
608C2×C4Q8×Dic7314yes—
609C2×C4Q8×Dic7314yes—
610C2×C4#1455656914yes—
611C2×C4#1455657614yes—
612C2×C4#1455658114yes—
613C2×C4#1455658614yes—
614C22C2×#1455655011yescharacteristic
615C22C2×D4×Dic7311yescharacteristic
616C22C2×D4×Dic7311yescharacteristic
617C22C2×Q8×Dic7311yescharacteristic
618C22C2×Q8×Dic7311yescharacteristic
619C22#1798907011yescharacteristic
620C22#1798907011yescharacteristic
621C22C2×#1455656911yescharacteristic
622C22C2×#1455657611yescharacteristic
623C22C2×#1455658111yescharacteristic
624C22C2×#1455658611yescharacteristic
625C22C4⋊Q8×D7311yescharacteristic
626C22#1798913811yescharacteristic
627C22#1798914211yescharacteristic
628C22#1798914211yescharacteristic
629C22#1798919311yescharacteristic
630C22#1798920011yescharacteristic
631C22#1798921711yescharacteristic
632C22#1798921711yescharacteristic
633C22#1798922111yescharacteristic
634C22#1798922811yescharacteristic
635C22#1798923711yescharacteristic
636C22#1798924211yescharacteristic
637C22#1798924311yescharacteristic
638C22#1798925011yescharacteristic
639C22#1798925811yescharacteristic
640C22#1798927911yescharacteristic
641C22#1798928911yescharacteristic
642C22#1798929511yescharacteristic
643C22#1798929711yescharacteristic
644C22#1798930211yescharacteristic
645C22#1798930711yescharacteristic
646C22#1798931011yescharacteristic
647C22#1798931511yescharacteristic
648C22#1798932211yescharacteristic
649C4—24no—
650C4—24no—
651C4—44no—
652C4—44no—
653C4—2922no—
654C4—2922no—
655C4—2922no—
656C4—2924no—
657C4—5842no—
658C4—1464no—
659C4#1798847318yescomplemented
660C2C2×#1798847311yescharacteristic
661C2C4⋊Q8×Dic7311yescharacteristic
662C2#2261267311yescharacteristic
663C2#2261288011yescharacteristic
664C2#2261288811yescharacteristic
665C2#2261294011yescharacteristic
666C2#2261295111yescharacteristic
667C2#2261362411yescharacteristic
668C2#2261363511yescharacteristic
669C2#2261369811yescharacteristic
670C2#2261370911yescharacteristic
671C2#2261435111yescharacteristic
672C2#2261436211yescharacteristic
673C2#2261496511yescharacteristic
674C2#2261516711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC2×#389×C73C2
socle, prime radical, cosocleC24×C73C24
hypercenterC2×#389D73
hypocenterC73#13981
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
37. #389×C73C4semidirect
315. C4×C73#387semidirect
349. C73#13981semidirect
361. #389Dic73semidirect
659. C4#17988473semidirect

Maximal subgroups

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

subgroupindex
C2×#179884732
C2×#179884572
C2×C4⋊C4×Dic732
#226081882
#226081842
#226081652
#226081602
C4×#145564982
C2×#389×C732
#1398173