Finite Group Databasebeta

← #33009666

Subgroups — #33009666

Order 18688.

1386 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988485C211yesmaximal, characteristic
2C2×C4×C4⋊Dic73C211yesmaximal, characteristic
3#22608197C212yesmaximal
4#22608190C212yesmaximal
5#22608163C212yesmaximal
6#22608162C212yesmaximal
7#22608161C211yesmaximal, characteristic
8#22608161C211yesmaximal, characteristic
9#22608161C211yesmaximal, characteristic
10#22608161C211yesmaximal, characteristic
11C2×C4×C4⋊C4×C73C211yesmaximal, characteristic
12C22×C4⋊Dic73C2211yescharacteristic
13C22×C4⋊Dic73C2211yescharacteristic
14C22×C4⋊Dic73C2211yescharacteristic
15C22×C4⋊Dic73C2211yescharacteristic
16C22×#11924007C2212yes—
17C22×C4×Dic73C2212yes—
18#17988485C418yescomplemented
19C4×C4⋊Dic73—24no—
20C2×#14556498C2212yes—
21C2×#14556498C2212yes—
22C2×#14556498C2212yes—
23C2×#14556498C2212yes—
24C2×#14556498C2212yes—
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C22×C4⋊C4×C73C2211yescharacteristic
31C22×C4⋊C4×C73C2211yescharacteristic
32C22×C42×C73C2211yescharacteristic
33C22×C42×C73C2211yescharacteristic
34C22×C42×C73C2211yescharacteristic
35C4×C4⋊C4×C73—24no—
36C2×#95×C73C2211yescharacteristic
37C2×#95×C73C2211yescharacteristic
38C23×Dic73C2312yes—
39C23×Dic73C2312yes—
40C23×Dic73C2312yes—
41C23×Dic73C2312yes—
42C2×C4⋊Dic73—22no—
43C2×C4⋊Dic73—22no—
44C2×C4⋊Dic73—22no—
45C2×C4⋊Dic73—22no—
46C2×C4⋊Dic73—22no—
47C2×C4⋊Dic73—22no—
48C2×C4⋊Dic73—22no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—22no—
51C2×C4⋊Dic73C2×C414yes—
52C2×C4⋊Dic73C2×C414yes—
53C2×C4⋊Dic73Q814yes—
54C2×#11924007—42no—
55C2×#11924007—42no—
56C2×#11924007C2×C418yes—
57C2×C4×Dic73—24no—
58C2×C4×Dic73—42no—
59C2×C4×Dic73—42no—
60#14556498—24no—
61#14556498—24no—
62#14556498—24no—
63#14556498—24no—
64#14556498—42no—
65#14556498—42no—
66#14556498—42no—
67#14556498—42no—
68#14556498—42no—
69#14556498C2×C418yes—
70C23×C4×C73C2311yescharacteristic
71C23×C4×C73C2311yescharacteristic
72C23×C4×C73C2311yescharacteristic
73C23×C4×C73C2311yescharacteristic
74C23×C4×C73C2311yescharacteristic
75C23×C4×C73C2311yescharacteristic
76C23×C4×C73C2311yescharacteristic
77C2×C4⋊C4×C73—22no—
78C2×C4⋊C4×C73—22no—
79C2×C4⋊C4×C73—22no—
80C2×C4⋊C4×C73—22no—
81C2×C4⋊C4×C73—22no—
82C2×C4⋊C4×C73Q814yes—
83C2×C42×C73—22no—
84C2×C42×C73—22no—
85C2×C42×C73—22no—
86C2×C42×C73—22no—
87C2×C42×C73—22no—
88C2×C42×C73—22no—
89C2×C42×C73—22no—
90C2×C42×C73C2×C414yes—
91C2×C42×C73D414yes—
92#95×C73—22no—
93#95×C73—22no—
94C22×Dic73—22no—
95C22×Dic73—22no—
96C22×Dic73—22no—
97C22×Dic73—22no—
98C22×Dic73—22no—
99C22×Dic73—22no—
100C22×Dic73—22no—
101C22×Dic73—22no—
102C22×Dic73—22no—
103C22×Dic73—22no—
104C22×Dic73—22no—
105C22×Dic73—22no—
106C22×Dic73—22no—
107C22×Dic73—22no—
108C22×Dic73—22no—
109C22×Dic73—22no—
110C22×Dic73—22no—
111C22×Dic73—22no—
112C22×Dic73—22no—
113C22×Dic73—22no—
114C22×Dic73—22no—
115C22×Dic73—22no—
116C22×Dic73—22no—
117C22×Dic73—22no—
118C22×Dic73—22no—
119C22×Dic73C22×C414yes—
120C22×Dic73C22×C414yes—
121C22×Dic73C2×Q814yes—
122C4⋊Dic73—28no—
123C4⋊Dic73—28no—
124C4⋊Dic73—28no—
125C4⋊Dic73—44no—
126#11924007—48no—
127C4×Dic73—48no—
128C24×C73C2411yescharacteristic
129C22×C4×C73—21no—
130C22×C4×C73—21no—
131C22×C4×C73—21no—
132C22×C4×C73—21no—
133C22×C4×C73—21no—
134C22×C4×C73—21no—
135C22×C4×C73—21no—
136C22×C4×C73—21no—
137C22×C4×C73—21no—
138C22×C4×C73—21no—
139C22×C4×C73—21no—
140C22×C4×C73—21no—
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—21no—
154C22×C4×C73—21no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—21no—
158C22×C4×C73—21no—
159C22×C4×C73—21no—
160C22×C4×C73—21no—
161C22×C4×C73C22×C412yes—
162C22×C4×C73C22×C412yes—
163C22×C4×C73C22×C412yes—
164C22×C4×C73C2×D412yes—
165C22×C4×C73C2×D412yes—
166C22×C4×C73C2×D412yes—
167C22×C4×C73C2×Q812yes—
168C22×C4×C73C2×Q812yes—
169C22×C4×C73C2×Q812yes—
170C22×C4×C73C2×Q812yes—
171C22×C4×C73#4112yes—
172C22×C4×C73#4112yes—
173C22×C4×C73#4112yes—
174C22×C4×C73#4112yes—
175C22×C4×C73#4112yes—
176C22×C4×C73#4112yes—
177C22×C4×C73#4112yes—
178C4⋊C4×C73—28no—
179C4⋊C4×C73—28no—
180C42×C73—28no—
181C42×C73—28no—
182C42×C73—44no—
183C23×C73C23×C411yescharacteristic
184C23×C73C22×D411yescharacteristic
185C23×C73C22×Q811yescharacteristic
186C23×C73C22×Q811yescharacteristic
187C23×C73C2×#4111yescharacteristic
188C23×C73C2×#4111yescharacteristic
189C23×C73C2×#4111yescharacteristic
190C23×C73C2×#4111yescharacteristic
191C23×C73C2×#4111yescharacteristic
192C23×C73C2×#4111yescharacteristic
193C23×C73C2×#4111yescharacteristic
194C23×C73H(5,𝔽2)11yescharacteristic
195C23×C73H(5,𝔽2)11yescharacteristic
196C23×C73H(5,𝔽2)11yescharacteristic
197C23×C732−1+411yescharacteristic
198C2×C4×C73—22no—
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—22no—
212C2×C4×C73—22no—
213C2×C4×C73—22no—
214C2×C4×C73—22no—
215C2×C4×C73—22no—
216C2×C4×C73—22no—
217C2×C4×C73—22no—
218C2×C4×C73—22no—
219C2×C4×C73—22no—
220C2×C4×C73—22no—
221C2×C4×C73—22no—
222C2×C4×C73—41no—
223C2×C4×C73—41no—
224C2×C4×C73—41no—
225C2×C4×C73—41no—
226C2×C4×C73—41no—
227C2×C4×C73—41no—
228C2×C4×C73—41no—
229C2×C4×C73—41no—
230C2×C4×C73—41no—
231C2×C4×C73—41no—
232C2×C4×C73—41no—
233C2×C4×C73—41no—
234C2×C4×C73—41no—
235C2×C4×C73—41no—
236C2×C4×C73—41no—
237C2×C4×C73—41no—
238C2×C4×C73#11714yes—
239C2×C4×C73C4×D414yes—
240C2×C4×C73C4×Q814yes—
241C2×C4×C73C4×Q814yes—
242C2×C4×C73C22⋊Q814yes—
243C2×C4×C73C22⋊Q814yes—
244C2×C4×C73#12314yes—
245C2×C4×C73#12514yes—
246C2×C4×C73#12614yes—
247C2×Dic73—24no—
248C2×Dic73—24no—
249C2×Dic73—24no—
250C2×Dic73—24no—
251C2×Dic73—24no—
252C2×Dic73—24no—
253C2×Dic73—24no—
254C2×Dic73—24no—
255C2×Dic73—24no—
256C2×Dic73—42no—
257C2×Dic73—42no—
258C2×Dic73—42no—
259C2×Dic73—42no—
260C2×Dic73—42no—
261C2×Dic73—42no—
262C2×Dic73—42no—
263C2×Dic73—42no—
264C2×Dic73—42no—
265C2×Dic73—42no—
266C2×Dic73—42no—
267C2×Dic73—42no—
268C2×Dic73—42no—
269C2×Dic73—42no—
270C2×Dic73—42no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C22×C73C2×#11711yescharacteristic
276C22×C73C2×C4×D411yescharacteristic
277C22×C73C2×C4×Q811yescharacteristic
278C22×C73C2×C4×Q811yescharacteristic
279C22×C73C4×#4111yescharacteristic
280C22×C73#51811yescharacteristic
281C22×C73#52011yescharacteristic
282C22×C73C2×C22⋊Q811yescharacteristic
283C22×C73C2×C22⋊Q811yescharacteristic
284C22×C73C2×#12311yescharacteristic
285C22×C73#52511yescharacteristic
286C22×C73C2×#12511yescharacteristic
287C22×C73C2×#12611yescharacteristic
288C22×C73#52911yescharacteristic
289C22×C73#53311yescharacteristic
290C22×C73#53511yescharacteristic
291C22×C73#53711yescharacteristic
292C22×C73#54011yescharacteristic
293C22×C73#54211yescharacteristic
294C22×C73#55211yescharacteristic
295C22×C73#55311yescharacteristic
296C22×C73#55311yescharacteristic
297C22×C73#55311yescharacteristic
298C22×C73#55411yescharacteristic
299C22×C73#55411yescharacteristic
300C22×C73#55411yescharacteristic
301C22×C73#55411yescharacteristic
302C22×C73#55511yescharacteristic
303C22×C73#55611yescharacteristic
304C22×C73#55711yescharacteristic
305C22×C73#55711yescharacteristic
306C22×C73Q8211yescharacteristic
307C22×C73#55911yescharacteristic
308C22×C73#55911yescharacteristic
309C22×C73#55911yescharacteristic
310C4×C73—24no—
311C4×C73—24no—
312C4×C73—42no—
313C4×C73—42no—
314C4×C73—42no—
315C4×C73—42no—
316C4×C73#38718yes—
317Dic73—44no—
318Dic73—44no—
319Dic73—44no—
320Dic73—82no—
321#14041—731nomaximal, Sylow
322C2×C73C2×#38711yescharacteristic
323C2×C73C4×C22⋊Q811yescharacteristic
324C2×C73#232411yescharacteristic
325C2×C73#235511yescharacteristic
326C2×C73#235711yescharacteristic
327C2×C73#236911yescharacteristic
328C2×C73#237011yescharacteristic
329C2×C73#248511yescharacteristic
330C2×C73#248711yescharacteristic
331C2×C73#250711yescharacteristic
332C2×C73#250911yescharacteristic
333C2×C73#251111yescharacteristic
334C2×C73#251311yescharacteristic
335C2×C73#258011yescharacteristic
336C2×C73#258211yescharacteristic
337C2×#389—731no—
338C2×C4×C4⋊C4—731no—
339C2×C4×C4⋊C4D7311yescharacteristic
340#1445—732no—
341#1442—732no—
342#1436—732no—
343#1436—732no—
344C4⋊#95—731no—
345C4⋊#95—731no—
346C4⋊#95—731no—
347C4⋊#95—731no—
348C73#1404111yescharacteristic, complemented, Sylow
349C22×C4⋊C4—732no—
350C22×C4⋊C4—731no—
351C22×C4⋊C4—731no—
352C22×C4⋊C4—731no—
353C22×C4⋊C4—731no—
354C22×C4⋊C4C2×D7311yescharacteristic
355C22×C4⋊C4C2×D7311yescharacteristic
356C22×C42—732no—
357C22×C42C2×D7311yescharacteristic
358C22×C42C2×D7311yescharacteristic
359C22×C42C2×D7311yescharacteristic
360#389—738no—
361C4×C4⋊C4—24no—
362C4×C4⋊C4—1464no—
363C2×#95—732no—
364C2×#95—732no—
365C2×#95—732no—
366C2×#95—732no—
367C2×#95—732no—
368C2×#95—732no—
369C2×#95—732no—
370C2×#95—732no—
371C2×#95—732no—
372C2×#95—732no—
373C2×#95C2×D7311yescharacteristic
374C2×#95C2×D7311yescharacteristic
375C23×C4—732no—
376C23×C4—732no—
377C23×C4—732no—
378C23×C4—732no—
379C23×C4C22×D7311yescharacteristic
380C23×C4C22×D7311yescharacteristic
381C23×C4C22×D7311yescharacteristic
382C23×C4C22×D7311yescharacteristic
383C23×C4C22×D7311yescharacteristic
384C23×C4C22×D7311yescharacteristic
385C23×C4C22×D7311yescharacteristic
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—2922no—
392C2×C4⋊C4—2922no—
393C2×C4⋊C4—738no—
394C2×C4⋊C4—734no—
395C2×C4⋊C4—734no—
396C2×C4⋊C4—734no—
397C2×C4⋊C4—1462no—
398C2×C4⋊C4—1462no—
399C2×C4⋊C4—1462no—
400C2×C4⋊C4—1462no—
401C2×C4⋊C4—1462no—
402C2×C4⋊C4—1462no—
403C2×C4⋊C4—1462no—
404C2×C4⋊C4—1462no—
405C2×C4⋊C4—1462no—
406C2×C4⋊C4Dic14614yes—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—2922no—
415C2×C42—2922no—
416C2×C42—1464no—
417C2×C42C4×D7314yes—
418C2×C42C22⋊D7314yes—
419#95—22no—
420#95—22no—
421#95—2922no—
422#95—2922no—
423#95—2922no—
424#95—2922no—
425#95—2922no—
426#95—738no—
427#95—1464no—
428#95—1464no—
429#95—1464no—
430#95—1464no—
431C24C23×D7311yescharacteristic
432C22×C4—21no—
433C22×C4—21no—
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—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—734no—
465C22×C4—734no—
466C22×C4—734no—
467C22×C4—1462no—
468C22×C4—1462no—
469C22×C4—1462no—
470C22×C4—1462no—
471C22×C4—1462no—
472C22×C4—1462no—
473C22×C4—1462no—
474C22×C4—1462no—
475C22×C4—1462no—
476C22×C4—1462no—
477C22×C4—1462no—
478C22×C4—1462no—
479C22×C4—1462no—
480C22×C4—1462no—
481C22×C4—1462no—
482C22×C4—1462no—
483C22×C4—1462no—
484C22×C4—1462no—
485C22×C4—1462no—
486C22×C4—1462no—
487C22×C4—1462no—
488C22×C4—1462no—
489C22×C4—1462no—
490C22×C4—1462no—
491C22×C4—1462no—
492C22×C4C2×C4×D7312yes—
493C22×C4C2×C4×D7312yes—
494C22×C4C2×C4×D7312yes—
495C22×C4C2×C22⋊D7312yes—
496C22×C4C2×C22⋊D7312yes—
497C22×C4C2×C22⋊D7312yes—
498C22×C4Q8×D7312yes—
499C22×C4C2×Dic14612yes—
500C22×C4C2×Dic14612yes—
501C22×C4C2×Dic14612yes—
502C22×C4#1192402712yes—
503C22×C4#1192402712yes—
504C22×C4#1192402812yes—
505C22×C4#1192402812yes—
506C22×C4#1192402812yes—
507C22×C4#1192402812yes—
508C22×C4#1192402912yes—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—2928no—
512C4⋊C4—2924no—
513C4⋊C4—1468no—
514C4⋊C4—1468no—
515C4⋊C4—1468no—
516C42—28no—
517C42—28no—
518C42—44no—
519C42—2928no—
520C23C22×C4×D7311yescharacteristic
521C23C22×C22⋊D7311yescharacteristic
522C23C2×Q8×D7311yescharacteristic
523C23C22×Dic14611yescharacteristic
524C23C2×#1192402711yescharacteristic
525C23C2×#1192402711yescharacteristic
526C23C2×#1192402811yescharacteristic
527C23C2×#1192402811yescharacteristic
528C23C2×#1192402811yescharacteristic
529C23C2×#1192402811yescharacteristic
530C23C2×#1192402911yescharacteristic
531C23#1455663711yescharacteristic
532C23#1455663711yescharacteristic
533C23#1455663711yescharacteristic
534C23#1455663811yescharacteristic
535C2×C4—22no—
536C2×C4—22no—
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—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
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—2922no—
576C2×C4—2922no—
577C2×C4—2922no—
578C2×C4—2922no—
579C2×C4—2922no—
580C2×C4—2922no—
581C2×C4—2922no—
582C2×C4—2922no—
583C2×C4—2922no—
584C2×C4—2922no—
585C2×C4—2922no—
586C2×C4—2922no—
587C2×C4—2922no—
588C2×C4—2922no—
589C2×C4—2922no—
590C2×C4—2922no—
591C2×C4—2922no—
592C2×C4—2922no—
593C2×C4—2922no—
594C2×C4—1464no—
595C2×C4—1464no—
596C2×C4—1464no—
597C2×C4—1464no—
598C2×C4—1464no—
599C2×C4—1464no—
600C2×C4—1464no—
601C2×C4—1464no—
602C2×C4—1464no—
603C2×C4#1455654914yes—
604C2×C4C4×C22⋊D7314yes—
605C2×C4#1455655614yes—
606C2×C4C4×Dic14614yes—
607C2×C4#1455656714yes—
608C2×C4#1455657014yes—
609C2×C4#1455657214yes—
610C2×C4#1455658114yes—
611C2×C4#1455658614yes—
612C22C2×#1455654911yescharacteristic
613C22C2×C4×C22⋊D7311yescharacteristic
614C22C2×#1455655611yescharacteristic
615C22C2×C4×Dic14611yescharacteristic
616C22C4×#1192402811yescharacteristic
617C22#1798906111yescharacteristic
618C22#1798906711yescharacteristic
619C22C2×#1455656711yescharacteristic
620C22C2×#1455657011yescharacteristic
621C22C2×#1455657211yescharacteristic
622C22#1798909811yescharacteristic
623C22C2×#1455658111yescharacteristic
624C22C2×#1455658611yescharacteristic
625C22#1798912111yescharacteristic
626C22#1798914411yescharacteristic
627C22#1798915111yescharacteristic
628C22#1798916511yescharacteristic
629C22#1798919211yescharacteristic
630C22#1798920811yescharacteristic
631C22#1798927711yescharacteristic
632C22#1798928311yescharacteristic
633C22#1798928311yescharacteristic
634C22#1798928311yescharacteristic
635C22#1798929411yescharacteristic
636C22#1798929411yescharacteristic
637C22#1798929711yescharacteristic
638C22#1798929711yescharacteristic
639C22#1798930211yescharacteristic
640C22#1798930711yescharacteristic
641C22#1798931511yescharacteristic
642C22#1798931611yescharacteristic
643C22Q8×Dic14611yescharacteristic
644C22#1798932211yescharacteristic
645C22#1798932211yescharacteristic
646C22#1798932211yescharacteristic
647C4—24no—
648C4—24no—
649C4—42no—
650C4—42no—
651C4—42no—
652C4—42no—
653C4—2924no—
654C4—2924no—
655C4—2924no—
656C4—5842no—
657C4#1798846818yes—
658C2C2×#1798846811yescharacteristic
659C2C4×#1455657011yescharacteristic
660C2#2261262411yescharacteristic
661C2#2261288611yescharacteristic
662C2#2261290211yescharacteristic
663C2#2261302011yescharacteristic
664C2#2261302511yescharacteristic
665C2#2261422811yescharacteristic
666C2#2261424811yescharacteristic
667C2#2261445811yescharacteristic
668C2#2261448011yescharacteristic
669C2#2261450611yescharacteristic
670C2#2261452811yescharacteristic
671C2#2261528911yescharacteristic
672C2#2261530111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC2×C4×C4⋊C4×C73C2
socle, prime radical, cosocleC24×C73C24
hypercenterC2×C4×C4⋊C4D73
hypocenterC73#14041
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
18. #17988485C4semidirect
348. C73#14041semidirect

Maximal subgroups

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

subgroupindex
C2×#179884852
C2×C4×C4⋊Dic732
#226081972
#226081902
#226081632
#226081622
#226081612
C2×C4×C4⋊C4×C732
#1404173