Finite Group Databasebeta

← C4×#17988790 #33092167

Subgroups — C4×#17988790 #33092167

Order 18688.

1104 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988790C211yesmaximal, characteristic
2C2×C4×#11924016C211yesmaximal, characteristic
3C4×#14556589C211yesmaximal, characteristic, complemented
4C4×D4×Dic73C211yesmaximal, characteristic
5#22610852C211yesmaximal, characteristic, complemented
6#22610691C211yesmaximal, characteristic, complemented
7#22610568C211yesmaximal, characteristic, complemented
8#22610564C211yesmaximal, characteristic, complemented
9#22610267C211yesmaximal, characteristic
10#22610263C211yesmaximal, characteristic
11#22609929C211yesmaximal, characteristic
12C4×#14556520C211yesmaximal, characteristic, complemented
13C4×#14556516C211yesmaximal, characteristic, complemented
14C4×#14556515C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C73C211yesmaximal, characteristic
16C22×#11924016C2211yescharacteristic
17C2×#14556589C2211yescharacteristic
18C2×C4×Dic146C2211yescharacteristic
19C2×D4×Dic73C2211yescharacteristic
20C2×D4×Dic73C2211yescharacteristic
21C22×C4×Dic73—21no—
22#17988790C418yesdirect product factor
23C4×#11924016—24no—
24C2×#14556522C2211yescharacteristic
25C2×#14556520C2211yescharacteristic
26C2×#14556520C2211yescharacteristic
27C2×#14556516C2211yescharacteristic
28C2×#14556516C2211yescharacteristic
29C2×#14556515C2211yescharacteristic
30C2×#14556515C2211yescharacteristic
31C2×#14556514C2211yescharacteristic
32C2×#14556512C2211yescharacteristic
33C2×C4×#10596831C2211yescharacteristic
34#17988494C2211yescharacteristic
35#17988492C2211yescharacteristic
36#17988482—21no—
37#17988482—21no—
38#17988456C2211yescharacteristic
39C4⋊C4×Dic73C2211yescharacteristic
40C4⋊C4×Dic73C2211yescharacteristic
41C4×#11924007—21no—
42C4×#11924007—21no—
43C4×C4⋊Dic73C2211yescharacteristic
44C22⋊C4×Dic73—21no—
45C22⋊C4×Dic73—21no—
46C4×C22⋊Dic73—21no—
47C42×Dic73C2211yescharacteristic
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988341C2211yescharacteristic
53#17988341C2211yescharacteristic
54C22×SD16×C73C2211yescharacteristic
55C2×C4×Q8×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57C4×SD16×C73—24no—
58C2×#106×C73C2211yescharacteristic
59C2×#103×C73C2211yescharacteristic
60C2×#102×C73C2211yescharacteristic
61C2×C4×C8×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C23×Dic73—21no—
64C23×Dic73—21no—
65C2×#11924016—22no—
66C2×#11924016—22no—
67C2×#11924016C2×C414yes—
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70#14556589—22no—
71#14556589C2×C414yescomplemented
72C4×Dic146—22no—
73C4×Dic146—22no—
74D4×Dic73—22no—
75D4×Dic73—22no—
76D4×Dic73—22no—
77D4×Dic73C2×C414yes—
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C4⋊Dic73C2311yescharacteristic
81C2×#11924007—21no—
82C2×#11924007—21no—
83C2×#11924007—21no—
84C2×#11924007—21no—
85C2×#11924007—21no—
86C2×C22⋊Dic73—21no—
87C2×C22⋊Dic73—21no—
88C2×C4×Dic73—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73—21no—
91C2×C4×Dic73—21no—
92C2×C4×Dic73—44no—
93C2×C4×Dic73D411yescharacteristic
94C2×C4×Dic73D411yescharacteristic
95C2×C4×Dic73D411yescharacteristic
96C2×C4×Dic73D411yescharacteristic
97C2×C4×Dic73C2311yescharacteristic
98C2×C4×Dic73C2311yescharacteristic
99#14556522—22no—
100#14556520—22no—
101#14556520C2×C414yescomplemented
102#14556516—22no—
103#14556516C2×C414yescomplemented
104#14556515—22no—
105#14556515C2×C414yescomplemented
106#14556514—22no—
107#14556512—22no—
108C4×#10596831—22no—
109#14556498—21no—
110#14556498—21no—
111#14556498—21no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116C22×Q8×C73C2311yescharacteristic
117C22×D4×C73C2311yescharacteristic
118C23×C4×C73—21no—
119C2×SD16×C73—22no—
120C2×SD16×C73—22no—
121C2×SD16×C73C2×C414yes—
122C22×C8×C73C2311yescharacteristic
123C22×C8×C73C2311yescharacteristic
124C4×Q8×C73—22no—
125C4×Q8×C73—22no—
126C4×D4×C73—22no—
127C4×D4×C73D414yes—
128C2×C4⋊C4×C73—21no—
129C2×C4⋊C4×C73C2311yescharacteristic
130C2×C4⋊C4×C73C2311yescharacteristic
131C2×C22⋊C4×C73—21no—
132C2×C42×C73—21no—
133C2×C42×C73C2311yescharacteristic
134#106×C73—22no—
135#103×C73—22no—
136#102×C73—22no—
137C4×C8×C73—22no—
138C2×Dic146—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146C22×C412yes—
144C22×Dic73—24no—
145C22×Dic73—21no—
146C22×Dic73—21no—
147C22×Dic73—21no—
148C22×Dic73—24no—
149C22×Dic73—21no—
150C22×Dic73—42no—
151C22×Dic73—42no—
152C22×Dic73—42no—
153C22×Dic73—42no—
154C22×Dic73C2×D411yescharacteristic
155C22×Dic73C2×D411yescharacteristic
156C22×Dic73C2×D411yescharacteristic
157C22×Dic73C2×D411yescharacteristic
158#11924016—28no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831C22×C412yes—
165C4⋊Dic73—21no—
166C4⋊Dic73—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73C22×C412yes—
170C4⋊Dic73#4112yes—
171#11924007—24no—
172#11924007—24no—
173#11924007—42no—
174#11924007—42no—
175#11924007—42no—
176C22⋊Dic73—24no—
177C22⋊Dic73—24no—
178C4×Dic73—22no—
179C4×Dic73—21no—
180C4×Dic73—21no—
181C4×Dic73—22no—
182C4×Dic73—41no—
183C4×Dic73—42no—
184C4×Dic73—42no—
185C4×Dic73—42no—
186C4×Dic73—42no—
187C4×Dic73SD1614yescomplemented
188C4×Dic73C22×C412yes—
189C4×Dic73#4112yes—
190C24×C73—21no—
191C2×Q8×C73—21no—
192C2×Q8×C73—21no—
193C2×Q8×C73—21no—
194C2×Q8×C73—21no—
195C2×Q8×C73—21no—
196C2×Q8×C73C22×C412yes—
197C2×D4×C73—21no—
198C2×D4×C73—21no—
199C2×D4×C73—21no—
200C2×D4×C73C22×C412yes—
201C2×D4×C73C2×D412yes—
202C2×D4×C73#4112yes—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—24no—
206C22×C4×C73—21no—
207C22×C4×C73—42no—
208C22×C4×C73—42no—
209C22×C4×C73C2×D411yescharacteristic
210C22×C4×C73C2×D411yescharacteristic
211C22×C4×C73C2411yescharacteristic
212SD16×C73—28no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73C22×C412yes—
219C4⋊C4×C73—21no—
220C4⋊C4×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—42no—
223C4⋊C4×C73C2×D412yes—
224C22⋊C4×C73—24no—
225C42×C73—42no—
226C42×C73C2×D412yes—
227C42×C73#4112yes—
228C23×C73—22no—
229C23×C73—22no—
230C23×C73—22no—
231C23×C73—41no—
232C23×C73—41no—
233C23×C73—41no—
234C23×C73—41no—
235C23×C73C22×D411yescharacteristic
236Q8×C73—22no—
237Q8×C73—22no—
238Q8×C73—41no—
239Q8×C73—41no—
240D4×C73—22no—
241D4×C73—22no—
242D4×C73—22no—
243D4×C73C4×D414yes—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—41no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—48no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73#12112yes—
257C2×C4×C73#12112yes—
258C2×C4×C73C2×SD1612yes—
259C2×C4×C73#13712yes—
260C2×C4×C73C23×C411yescharacteristic
261C2×C4×C73C22×D411yescharacteristic
262C2×C4×C73C2×#4111yescharacteristic
263C2×C4×C73C2×#4111yescharacteristic
264C2×C4×C73C2×#4111yescharacteristic
265C2×C4×C73C2×#4111yescharacteristic
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—21no—
269C2×Dic73—21no—
270C2×Dic73—22no—
271C2×Dic73—22no—
272C2×Dic73—21no—
273C2×Dic73—22no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—48no—
277C2×Dic73—41no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—48no—
284C2×Dic73—41no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73C4×D412yes—
288C2×Dic73C4×D412yes—
289C2×Dic73C2×SD1612yes—
290C2×Dic73C2×SD1612yes—
291C2×Dic73#13512yes—
292Dic146—22no—
293Dic146—22no—
294Dic146—41no—
295Dic146—41no—
296C8×C73—22no—
297C8×C73—41no—
298#10596831—22no—
299#10596831—41no—
300C22×C73—24no—
301C22×C73—42no—
302C22×C73—42no—
303C22×C73—42no—
304C22×C73—42no—
305C22×C73—42no—
306C22×C73—42no—
307C22×C73C2×C4×D411yescharacteristic
308C22×C73C2×#12111yescharacteristic
309C22×C73#52511yescharacteristic
310C22×C73C22×SD1611yescharacteristic
311C22×C73C2×#13511yescharacteristic
312C22×C73C2×#13711yescharacteristic
313C22×C73#57511yescharacteristic
314C4×C73—22no—
315C4×C73—42no—
316C4×C73—42no—
317C4×C73—81no—
318C4×C73#46114yescomplemented
319C4×C73C2×C4×D411yescharacteristic
320C4×C73C4×#4111yescharacteristic
321C4×C73#52911yescharacteristic
322C4×C73#53211yescharacteristic
323Dic73—22no—
324Dic73—22no—
325Dic73—42no—
326Dic73—41no—
327Dic73—42no—
328Dic73—42no—
329Dic73—81no—
330Dic73C4×SD1614yescomplemented
331C4×#461—731nomaximal, Sylow
332C2×C73—44no—
333C2×C73C4×#12111yescharacteristic
334C2×C73C2×C4×SD1611yescharacteristic
335C2×C73C4×#13711yescharacteristic
336C2×C73C2×#46111yescharacteristic
337C2×C73#303511yescharacteristic
338C2×C73#310111yescharacteristic
339C2×C73#310711yescharacteristic
340C2×#461—731no—
341C2×C4×SD16—731no—
342C2×C4×SD16D7311yescharacteristic
343C4×C4⋊Q8—731no—
344C42×D4—731no—
345#1981—731no—
346#1948—731no—
347#1927—731no—
348#1927—731no—
349#1877—731no—
350#1877—731no—
351#1802—731no—
352C4×C4⋊C8—731no—
353C4×#103—731no—
354C4×#103—731no—
355C73C4×#46111yescharacteristic, complemented, Sylow
356C22×SD16—731no—
357C22×SD16C2×D7311yescharacteristic
358C2×C4⋊Q8—731no—
359C2×C4×Q8—731no—
360C2×C4×Q8C2×D7311yescharacteristic
361C2×C4×D4—731no—
362C2×C4×D4—731no—
363C2×C4×D4C2×D7311yescharacteristic
364C22×C42—1461no—
365#461—738no—
366C4×SD16—24no—
367C4×SD16—1464no—
368C2×#106—731no—
369C2×#106C2×D7311yescharacteristic
370C2×C4⋊C8—731no—
371C2×C4⋊C8—731no—
372C2×#103—731no—
373C2×#103—731no—
374C2×#103—731no—
375C2×#103—731no—
376C2×#103—731no—
377C2×#103C2×D7311yescharacteristic
378C2×#102—731no—
379C2×#102C2×D7311yescharacteristic
380C2×C4×C8—731no—
381C2×C4×C8C2×D7311yescharacteristic
382#391—731no—
383#391—731no—
384#389—1461no—
385#389—1461no—
386#384—731no—
387C4×C4⋊C4—731no—
388C4×C4⋊C4—731no—
389C4×C4⋊C4—731no—
390C4×C4⋊C4—1461no—
391C4×C4⋊C4—1461no—
392C4×C22⋊C4—1461no—
393C4×C22⋊C4—1461no—
394C4×C22⋊C4—1461no—
395C43—731no—
396#340—731no—
397#340—731no—
398#340—731no—
399#340—731no—
400#336—731no—
401#336—731no—
402C22×Q8—731no—
403C22×Q8C22×D7311yescharacteristic
404C22×D4C22×D7311yescharacteristic
405C23×C4—21no—
406C23×C4—1461no—
407C23×C4—1461no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×SD16—734no—
411C2×SD16—1462no—
412C2×SD16—1462no—
413C2×SD16C4×D7314yes—
414C22×C8—731no—
415C22×C8—731no—
416C22×C8C22×D7311yescharacteristic
417C22×C8C22×D7311yescharacteristic
418C4⋊Q8—734no—
419C4⋊Q8—1462no—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×Q8—1462no—
423C4×Q8—1462no—
424C4×D4—22no—
425C4×D4—734no—
426C4×D4—1462no—
427C4×D4—1462no—
428C4×D4—1462no—
429C4×D4C22⋊D7314yes—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—731no—
432C2×C4⋊C4—731no—
433C2×C4⋊C4—731no—
434C2×C4⋊C4—1461no—
435C2×C4⋊C4—1461no—
436C2×C4⋊C4—1461no—
437C2×C4⋊C4—1461no—
438C2×C4⋊C4—1461no—
439C2×C4⋊C4C22×D7311yescharacteristic
440C2×C4⋊C4C22×D7311yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—1461no—
443C2×C22⋊C4—1461no—
444C2×C42—21no—
445C2×C42—2924no—
446C2×C42—731no—
447C2×C42—731no—
448C2×C42—731no—
449C2×C42—731no—
450C2×C42—731no—
451C2×C42—731no—
452C2×C42—1461no—
453C2×C42—1461no—
454C2×C42—1461no—
455C2×C42—1461no—
456C2×C42C22×D7311yescharacteristic
457#106—22no—
458#106—1462no—
459C4⋊C8—734no—
460C4⋊C8—1462no—
461#103—22no—
462#103—734no—
463#103—734no—
464#103—1462no—
465#103—1462no—
466#103—1462no—
467#102—22no—
468#102—1462no—
469C4×C8—22no—
470C4×C8—1462no—
471#95—1461no—
472#95—1461no—
473#95—1461no—
474#95—1461no—
475#95—1461no—
476#95—1461no—
477#95—1461no—
478C24—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—732no—
485C2×Q8—1461no—
486C2×Q8—1461no—
487C2×Q8—1461no—
488C2×Q8—1461no—
489C2×Q8—1461no—
490C2×Q8C2×C4×D7312yes—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4C2×C4×D7312yes—
495C2×D4C2×C22⋊D7312yes—
496C2×D4#1192402812yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—2922no—
504C22×C4—2922no—
505C22×C4—2922no—
506C22×C4—2922no—
507C22×C4—731no—
508C22×C4—731no—
509C22×C4—731no—
510C22×C4—731no—
511C22×C4—1461no—
512C22×C4—1464no—
513C22×C4—1464no—
514C22×C4—1461no—
515C22×C4—1461no—
516C22×C4—1461no—
517C22×C4D4×D7311yescharacteristic
518C22×C4D4×D7311yescharacteristic
519C22×C4C23×D7311yescharacteristic
520SD16—28no—
521SD16—1468no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—732no—
528C2×C8—1461no—
529C2×C8—1461no—
530C2×C8—1461no—
531C2×C8—1461no—
532C2×C8—1461no—
533C2×C8C2×C4×D7312yes—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—2922no—
539C4⋊C4—2922no—
540C4⋊C4—2922no—
541C4⋊C4—732no—
542C4⋊C4—732no—
543C4⋊C4—1464no—
544C4⋊C4—1464no—
545C4⋊C4—1461no—
546C4⋊C4—1461no—
547C4⋊C4—1461no—
548C4⋊C4—1461no—
549C4⋊C4C2×C22⋊D7312yes—
550C22⋊C4—24no—
551C22⋊C4—1464no—
552C22⋊C4—1464no—
553C42—42no—
554C42—2921no—
555C42—2922no—
556C42—2922no—
557C42—2922no—
558C42—2922no—
559C42—734no—
560C42—732no—
561C42—732no—
562C42—1462no—
563C42—1462no—
564C42—1461no—
565C42—1461no—
566C42C2×C22⋊D7312yes—
567C42#1192402712yes—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23C2×D4×D7311yescharacteristic
576Q8—22no—
577Q8—22no—
578Q8—41no—
579Q8—41no—
580Q8—2921no—
581Q8—2921no—
582Q8—1462no—
583Q8—1462no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4C4×C22⋊D7314yes—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—48no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—2921no—
601C2×C4—2921no—
602C2×C4—2921no—
603C2×C4—2921no—
604C2×C4—2921no—
605C2×C4—2921no—
606C2×C4—2928no—
607C2×C4—2928no—
608C2×C4—2921no—
609C2×C4—2921no—
610C2×C4—2921no—
611C2×C4—732no—
612C2×C4—732no—
613C2×C4—732no—
614C2×C4—732no—
615C2×C4—732no—
616C2×C4—1461no—
617C2×C4—1462no—
618C2×C4—1462no—
619C2×C4—1461no—
620C2×C4—1462no—
621C2×C4—1461no—
622C2×C4—1461no—
623C2×C4—1461no—
624C2×C4—1461no—
625C2×C4—1461no—
626C2×C4#1455656312yes—
627C2×C4#1455656312yes—
628C2×C4SD16×D7312yes—
629C2×C4#1455662012yes—
630C2×C4C22×C4×D7311yescharacteristic
631C2×C4C22×C22⋊D7311yescharacteristic
632C2×C4#41×D7311yescharacteristic
633C2×C4#41×D7311yescharacteristic
634C2×C4C2×#1192402711yescharacteristic
635C2×C4C2×#1192402811yescharacteristic
636C8—22no—
637C8—41no—
638C8—2921no—
639C8—1462no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22C4×D4×D7311yescharacteristic
648C22C2×#1455656311yescharacteristic
649C22#1798909611yescharacteristic
650C22C2×SD16×D7311yescharacteristic
651C22#135×D7311yescharacteristic
652C22C2×#1455662011yescharacteristic
653C22#1798938411yescharacteristic
654C4—22no—
655C4—42no—
656C4—42no—
657C4—81no—
658C4—2922no—
659C4—2922no—
660C4—2921no—
661C4—2922no—
662C4—5841no—
663C4—734no—
664C4—1462no—
665C4—1462no—
666C4#1798879014yesdirect product factor
667C4C2×C4×C22⋊D7311yescharacteristic
668C4C4×#1192402711yescharacteristic
669C4#1798911711yescharacteristic
670C4#1798913311yescharacteristic
671C2—44no—
672C2C4×#1455656311yescharacteristic
673C2C4×SD16×D7311yescharacteristic
674C2C4×#1455662011yescharacteristic
675C2C2×#1798879011yescharacteristic
676C2#2261938211yescharacteristic
677C2#2261993711yescharacteristic
678C2#2261999811yescharacteristic
subgroupG/H
centerC22×C4D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC2×C4×SD16×C73C2
socleC23×C73C22×D4
prime radicalC22×D4×C73C23
cosocleC22×C4×C73C24
hypercenterC2×C4×SD16D73
hypocenterC73C4×#461
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. C4×#14556589C2semidirect
5. #22610852C2semidirect
6. #22610691C2semidirect
7. #22610568C2semidirect
8. #22610564C2semidirect
12. C4×#14556520C2semidirect
13. C4×#14556516C2semidirect
14. C4×#14556515C2semidirect
22. #17988790C4direct (N × H)
71. #14556589C2×C4semidirect
101. #14556520C2×C4semidirect
103. #14556516C2×C4semidirect
105. #14556515C2×C4semidirect
187. C4×Dic73SD16semidirect
318. C4×C73#461semidirect
330. Dic73C4×SD16semidirect
355. C73C4×#461semidirect
666. C4#17988790direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179887902
C2×C4×#119240162
C4×#145565892
C4×D4×Dic732
#226108522
#226106912
#226105682
#226105642
#226102672
#226102632
#226099292
C4×#145565202
C4×#145565162
C4×#145565152
C2×C4×SD16×C732
C4×#46173