Finite Group Databasebeta

← #33007964

Subgroups — #33007964

Order 18688.

2510 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
1C22×C4⋊C4×D73C211yesmaximal, characteristic
2C2×#17988461C212yesmaximal
3C2×#17988458C212yesmaximal
4C2×#17988456C212yesmaximal, complemented
5C2×#17988446C211yesmaximal, characteristic
6C2×#17988434C211yesmaximal, characteristic
7#22608196C211yesmaximal, characteristic, complemented
8#22608195C211yesmaximal, characteristic, complemented
9#22608194C211yesmaximal, characteristic, complemented
10#22608159C212yesmaximal, complemented
11C73×#1444C211yesmaximal, characteristic, complemented
12C23×C4×D73C2212yes—
13C23×C4×D73C2211yescharacteristic
14C22×C4⋊Dic73C2211yescharacteristic
15C22×C4⋊Dic73C2212yes—
16C22×#11924007C2211yescharacteristic
17C22×#11924007C2211yescharacteristic
18C22×#11924007C2212yes—
19C22×#11924007C2212yes—
20C22×#11924007C2212yes—
21C2×C4⋊C4×D73—24no—
22C2×C4⋊C4×D73—28no—
23C22×#11924005C2211yescharacteristic
24C22×#11924005C2211yescharacteristic
25C22×#11924005C2212yes—
26C22×C4×Dic73C2212yes—
27#17988461—28no—
28#17988458—28no—
29#17988456—28no—
30#17988446—24no—
31#17988434C418yescomplemented
32C2×#14556498C2212yes—
33C2×#14556498C2212yes—
34C2×#14556498C2212yes—
35C2×#14556498C2211yescharacteristic
36C2×#14556498C2211yescharacteristic
37C22×C4⋊C4×C73C2211yescharacteristic
38C22×C4⋊C4×C73C2212yes—
39C2×#95×C73C2212yes—
40C2×#95×C73C2211yescharacteristic
41C2×#95×C73C2211yescharacteristic
42C24×D73C2311yescharacteristic
43C23×Dic73C2311yescharacteristic
44C23×Dic73C2311yescharacteristic
45C23×Dic73C2312yes—
46C23×Dic73C2312yes—
47C23×Dic73C2311yescharacteristic
48C22×C4×D73—24no—
49C22×C4×D73—24no—
50C22×C4×D73—24no—
51C22×C4×D73—24no—
52C22×C4×D73—24no—
53C22×C4×D73—24no—
54C22×C4×D73—24no—
55C22×C4×D73—42no—
56C22×C4×D73—42no—
57C22×C4×D73C2×C414yes—
58C22×C4×D73D414yes—
59C22×C4×D73Q814yes—
60C2×C4⋊Dic73—24no—
61C2×C4⋊Dic73—24no—
62C2×C4⋊Dic73—22no—
63C2×C4⋊Dic73—24no—
64C2×C4⋊Dic73—42no—
65C2×#11924007—24no—
66C2×#11924007—24no—
67C2×#11924007—22no—
68C2×#11924007—22no—
69C2×#11924007—24no—
70C2×#11924007—24no—
71C2×#11924007—24no—
72C2×#11924007—24no—
73C2×#11924007—24no—
74C2×#11924007—24no—
75C2×#11924007—42no—
76C2×#11924007—42no—
77C2×#11924007D418yes—
78C4⋊C4×D73—232no—
79C2×#11924005—22no—
80C2×#11924005—22no—
81C2×#11924005—24no—
82C2×#11924005—24no—
83C2×#11924005C2×C418yes—
84C2×#11924005D418yes—
85C2×#11924005Q818yes—
86C2×C4×Dic73—24no—
87C2×C4×Dic73—24no—
88C2×C4×Dic73C2×C418yescomplemented
89#14556498—24no—
90#14556498—24no—
91#14556498—22no—
92#14556498—24no—
93#14556498C2×C414yescomplemented
94C23×C4×C73C2311yescharacteristic
95C23×C4×C73C2311yescharacteristic
96C23×C4×C73C2312yes—
97C23×C4×C73C2311yescharacteristic
98C23×C4×C73C2312yes—
99C2×C4⋊C4×C73—24no—
100C2×C4⋊C4×C73—22no—
101C2×C4⋊C4×C73—24no—
102C2×C4⋊C4×C73—24no—
103C2×C4⋊C4×C73—42no—
104#95×C73—22no—
105#95×C73—24no—
106#95×C73C2×C414yescomplemented
107C23×D73—22no—
108C23×D73—22no—
109C23×D73—21no—
110C23×D73—21no—
111C23×D73—21no—
112C23×D73—21no—
113C23×D73C22×C412yes—
114C23×D73C2×D414yes—
115C23×D73C2×D412yes—
116C23×D73C2×Q814yes—
117C23×D73C2×Q812yes—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73—22no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73—22no—
129C22×Dic73—21no—
130C22×Dic73—21no—
131C22×Dic73—22no—
132C22×Dic73—22no—
133C22×Dic73—22no—
134C22×Dic73—21no—
135C22×Dic73—21no—
136C22×Dic73—21no—
137C22×Dic73—21no—
138C22×Dic73C22×C414yes—
139C22×Dic73C22×C412yes—
140C22×Dic73C2×D414yes—
141C22×Dic73C2×D414yes—
142C22×Dic73C2×D412yes—
143C22×Dic73C2×D414yes—
144C22×Dic73C2×Q814yes—
145C22×Dic73C2×Q812yes—
146C22×Dic73#4114yes—
147C2×C4×D73—216no—
148C2×C4×D73—28no—
149C2×C4×D73—216no—
150C2×C4×D73—28no—
151C2×C4×D73—216no—
152C2×C4×D73—48no—
153C2×C4×D73—48no—
154C2×C4×D73—48no—
155C2×C4×D73—48no—
156C2×C4×D73—48no—
157C2×C4×D73—48no—
158C2×C4×D73C4⋊C4116yescomplemented
159C4⋊Dic73—28no—
160C4⋊Dic73—48no—
161#11924007—216no—
162#11924007—48no—
163#11924007—48no—
164#11924007—44no—
165#11924007—44no—
166#11924005—44no—
167#11924005—44no—
168#11924005C4⋊C4132yescomplemented
169C4×Dic73—216no—
170C24×C73C2411yescharacteristic
171C22×C4×C73—22no—
172C22×C4×C73—22no—
173C22×C4×C73—22no—
174C22×C4×C73—22no—
175C22×C4×C73—22no—
176C22×C4×C73—22no—
177C22×C4×C73—22no—
178C22×C4×C73—22no—
179C22×C4×C73—22no—
180C22×C4×C73—22no—
181C22×C4×C73—22no—
182C22×C4×C73—22no—
183C22×C4×C73—22no—
184C22×C4×C73—21no—
185C22×C4×C73—21no—
186C22×C4×C73—22no—
187C22×C4×C73—22no—
188C22×C4×C73—22no—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73C22×C412yes—
194C22×C4×C73C22×C414yes—
195C22×C4×C73C2×D414yes—
196C22×C4×C73C2×D412yes—
197C22×C4×C73C2×D414yes—
198C22×C4×C73C2×Q812yes—
199C22×C4×C73C2×Q814yes—
200C4⋊C4×C73—28no—
201C4⋊C4×C73—48no—
202C23×C73C23×C411yescharacteristic
203C23×C73C22×D411yescharacteristic
204C23×C73C22×D412yes—
205C23×C73C22×D412yes—
206C23×C73C22×Q811yescharacteristic
207C23×C73C22×Q812yes—
208C23×C73C2×#4112yes—
209C23×C73H(5,𝔽2)11yescharacteristic
210C23×C73H(5,𝔽2)11yescharacteristic
211C23×C732−1+411yescharacteristic
212C23×C732−1+411yescharacteristic
213C22×D73—24no—
214C22×D73—22no—
215C22×D73—22no—
216C22×D73—22no—
217C22×D73—24no—
218C22×D73—22no—
219C22×D73—22no—
220C22×D73—22no—
221C22×D73—22no—
222C22×D73—22no—
223C22×D73—24no—
224C22×D73—24no—
225C22×D73—24no—
226C22×D73—24no—
227C22×D73—24no—
228C22×D73—24no—
229C22×D73—24no—
230C22×D73—24no—
231C22×D73C2×C4⋊C418yes—
232C22×D73C2×C4⋊C414yes—
233C22×D73#12714yes—
234C22×D73C4⋊Q814yes—
235C22×D73C4⋊Q818yes—
236C2×C4×C73—24no—
237C2×C4×C73—24no—
238C2×C4×C73—24no—
239C2×C4×C73—22no—
240C2×C4×C73—24no—
241C2×C4×C73—22no—
242C2×C4×C73—24no—
243C2×C4×C73—24no—
244C2×C4×C73—24no—
245C2×C4×C73—24no—
246C2×C4×C73—24no—
247C2×C4×C73—24no—
248C2×C4×C73—24no—
249C2×C4×C73—42no—
250C2×C4×C73—42no—
251C2×C4×C73—42no—
252C2×C4×C73—42no—
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—42no—
260C2×C4×C73—42no—
261C2×C4×C73—42no—
262C2×C4×C73—42no—
263C2×C4×C73C2×C4⋊C414yes—
264C2×C4×C73C2×C4⋊C418yescomplemented
265C2×Dic73—24no—
266C2×Dic73—24no—
267C2×Dic73—24no—
268C2×Dic73—24no—
269C2×Dic73—24no—
270C2×Dic73—24no—
271C2×Dic73—24no—
272C2×Dic73—24no—
273C2×Dic73—24no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C2×Dic73—42no—
277C2×Dic73—42no—
278C2×Dic73—41no—
279C2×Dic73—41no—
280C2×Dic73—41no—
281C2×Dic73—41no—
282C2×Dic73—41no—
283C2×Dic73—41no—
284C2×Dic73—42no—
285C2×Dic73—42no—
286C2×Dic73—42no—
287C2×Dic73—42no—
288C2×Dic73C2×C4⋊C414yes—
289C2×Dic73C2×C4⋊C418yescomplemented
290C2×Dic73C4×D418yes—
291C2×Dic73#12014yes—
292C2×Dic73C22⋊Q818yes—
293C2×Dic73#12314yes—
294C4×D73—232no—
295C4×D73—432no—
296C22×C73C22×C4⋊C411yescharacteristic
297C22×C73C22×C4⋊C412yes—
298C22×C73C2×C4×D412yes—
299C22×C73#52011yescharacteristic
300C22×C73#52011yescharacteristic
301C22×C73C2×#12011yescharacteristic
302C22×C73C2×C22⋊Q812yes—
303C22×C73C2×#12311yescharacteristic
304C22×C73C2×#12711yescharacteristic
305C22×C73C2×C4⋊Q811yescharacteristic
306C22×C73C2×C4⋊Q812yes—
307C22×C73#53511yescharacteristic
308C22×C73#53611yescharacteristic
309C22×C73#54411yescharacteristic
310C22×C73#54411yescharacteristic
311C22×C73D4212yes—
312C22×C73D4212yes—
313C22×C73#54712yes—
314C22×C73#54712yes—
315C22×C73D4×Q812yes—
316C22×C73D4×Q812yes—
317C22×C73#55412yes—
318C22×C73#55412yes—
319C2×D73—24no—
320C2×D73—28no—
321C2×D73—28no—
322C2×D73—24no—
323C2×D73—24no—
324C2×D73—28no—
325C2×D73—28no—
326C2×D73—24no—
327C2×D73—24no—
328C2×D73—24no—
329C2×D73#38418yescomplemented
330C4×C73—28no—
331C4×C73—24no—
332C4×C73—44no—
333C4×C73—81no—
334C4×C73—81no—
335Dic73—28no—
336Dic73—44no—
337Dic73—81no—
338Dic73—81no—
339Dic73#38518yescomplemented
340#13880—731nomaximal, Sylow
341C2×C73C2×#38411yescharacteristic
342C2×C73C2×#38511yescharacteristic
343C2×C73#231711yescharacteristic
344C2×C73D4×C4⋊C412yes—
345C2×C73D4×C4⋊C412yes—
346C2×C73#243311yescharacteristic
347C2×C73#243411yescharacteristic
348C2×C73#244012yes—
349C2×C73#244012yes—
350C2×C73#250111yescharacteristic
351C2×C73#250211yescharacteristic
352D73—28no—
353C23×C4⋊C4—731no—
354C2×#385—732no—
355C2×#385—732no—
356C2×#384—732no—
357C2×#380—731no—
358C2×C4×C22⋊C4—731no—
359#1444—731no—
360#1444—731no—
361#1444—731no—
362#1444D7311yescharacteristic, complemented
363C4⋊#95—732no—
364C73#1388011yescharacteristic, complemented, Sylow
365C24×C4—732no—
366C24×C4—731no—
367C22×C4⋊C4—732no—
368C22×C4⋊C4—732no—
369C22×C4⋊C4—732no—
370C22×C4⋊C4—732no—
371C22×C4⋊C4—731no—
372C22×C4⋊C4—731no—
373C22×C4⋊C4—731no—
374C22×C4⋊C4—1468no—
375C22×C4⋊C4—1464no—
376C22×C4⋊C4C2×D7311yescharacteristic
377C22×C4⋊C4C2×D7312yes—
378C22×C22⋊C4—732no—
379C22×C22⋊C4—731no—
380C22×C22⋊C4—731no—
381C22×C42—732no—
382#385—1468no—
383#385—1468no—
384#384—1468no—
385#380—1464no—
386C4×C22⋊C4—738no—
387C2×#95—731no—
388C2×#95—732no—
389C2×#95—732no—
390C2×#95—732no—
391C2×#95—731no—
392C2×#95C2×D7312yes—
393C2×#95C2×D7311yescharacteristic
394C2×#95C2×D7311yescharacteristic
395C25—731no—
396C23×C4—2922no—
397C23×C4—2922no—
398C23×C4—731no—
399C23×C4—732no—
400C23×C4—734no—
401C23×C4—734no—
402C23×C4—734no—
403C23×C4—732no—
404C23×C4—731no—
405C23×C4—731no—
406C23×C4—1464no—
407C23×C4—1464no—
408C23×C4—1464no—
409C23×C4—1464no—
410C23×C4—1464no—
411C23×C4—1464no—
412C23×C4—1464no—
413C23×C4C22×D7311yescharacteristic
414C23×C4C22×D7311yescharacteristic
415C23×C4C22×D7312yes—
416C23×C4C22×D7312yes—
417C23×C4C22×D7311yescharacteristic
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—2922no—
424C2×C4⋊C4—2922no—
425C2×C4⋊C4—2922no—
426C2×C4⋊C4—738no—
427C2×C4⋊C4—14632no—
428C2×C4⋊C4—1462no—
429C2×C4⋊C4—1462no—
430C2×C4⋊C4—1464no—
431C2×C4⋊C4—1464no—
432C2×C4⋊C4—1464no—
433C2×C4⋊C4—1464no—
434C2×C4⋊C4—1464no—
435C2×C4⋊C4—1464no—
436C2×C4⋊C4—1464no—
437C2×C4⋊C4—1464no—
438C2×C4⋊C4—1464no—
439C2×C4⋊C4—1464no—
440C2×C4⋊C4—1464no—
441C2×C4⋊C4—1462no—
442C2×C22⋊C4—738no—
443C2×C22⋊C4—738no—
444C2×C22⋊C4—738no—
445C2×C22⋊C4—1462no—
446C2×C22⋊C4—1462no—
447C2×C22⋊C4—1464no—
448C2×C22⋊C4—1464no—
449C2×C42—738no—
450C2×C42—1464no—
451C2×C42—1464no—
452#95—22no—
453#95—24no—
454#95—734no—
455#95—1464no—
456#95—1464no—
457#95—1462no—
458#95—1464no—
459#95C4×D7314yescomplemented
460C24—732no—
461C24—734no—
462C24—732no—
463C24—734no—
464C24—732no—
465C24—1462no—
466C24—1462no—
467C24—1461no—
468C24—1461no—
469C24—1461no—
470C24—1461no—
471C24C23×D7311yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—2928no—
495C22×C4—2928no—
496C22×C4—2928no—
497C22×C4—2928no—
498C22×C4—2928no—
499C22×C4—2928no—
500C22×C4—732no—
501C22×C4—734no—
502C22×C4—732no—
503C22×C4—732no—
504C22×C4—734no—
505C22×C4—734no—
506C22×C4—734no—
507C22×C4—734no—
508C22×C4—7316no—
509C22×C4—734no—
510C22×C4—14616no—
511C22×C4—1468no—
512C22×C4—14616no—
513C22×C4—14616no—
514C22×C4—1468no—
515C22×C4—1462no—
516C22×C4—1461no—
517C22×C4—1461no—
518C22×C4—1462no—
519C22×C4—1462no—
520C22×C4—1462no—
521C22×C4—1461no—
522C22×C4—1461no—
523C22×C4—1461no—
524C22×C4—1461no—
525C22×C4—1462no—
526C22×C4—1462no—
527C22×C4—1462no—
528C22×C4—1462no—
529C22×C4—1462no—
530C22×C4—1462no—
531C22×C4—1462no—
532C22×C4—1462no—
533C22×C4—1462no—
534C22×C4—1462no—
535C22×C4C2×C4×D7312yes—
536C22×C4C2×C4×D7314yes—
537C22×C4D4×D7314yes—
538C22×C4D4×D7312yes—
539C22×C4D4×D7314yes—
540C22×C4Q8×D7312yes—
541C22×C4Q8×D7314yes—
542C4⋊C4—28no—
543C4⋊C4—48no—
544C4⋊C4—2928no—
545C4⋊C4—2928no—
546C4⋊C4—2924no—
547C4⋊C4—2924no—
548C4⋊C4—2928no—
549C4⋊C4—14616no—
550C4⋊C4—1468no—
551C22⋊C4—2924no—
552C22⋊C4—2924no—
553C22⋊C4—7332no—
554C42—14616no—
555C23—734no—
556C23—734no—
557C23—738no—
558C23—738no—
559C23—734no—
560C23—1462no—
561C23—1462no—
562C23—1462no—
563C23—1462no—
564C23—1464no—
565C23—1464no—
566C23—1464no—
567C23—1464no—
568C23—1464no—
569C23—1464no—
570C23—1464no—
571C23—1464no—
572C23—1464no—
573C23—1462no—
574C23—1462no—
575C23—1462no—
576C23—1464no—
577C23—1462no—
578C23C22×C4×D7311yescharacteristic
579C23C2×D4×D7311yescharacteristic
580C23C2×D4×D7312yes—
581C23C2×D4×D7312yes—
582C23C2×Q8×D7311yescharacteristic
583C23C2×Q8×D7312yes—
584C23#41×D7312yes—
585C23#1455663611yescharacteristic
586C23#1455663711yescharacteristic
587C23#1455663811yescharacteristic
588C23#1455663911yescharacteristic
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—29232no—
617C2×C4—2922no—
618C2×C4—2922no—
619C2×C4—2922no—
620C2×C4—2922no—
621C2×C4—2921no—
622C2×C4—2921no—
623C2×C4—2921no—
624C2×C4—2921no—
625C2×C4—2922no—
626C2×C4—2922no—
627C2×C4—2922no—
628C2×C4—2922no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—734no—
632C2×C4—738no—
633C2×C4—734no—
634C2×C4—738no—
635C2×C4—734no—
636C2×C4—738no—
637C2×C4—14632no—
638C2×C4—1464no—
639C2×C4—1464no—
640C2×C4—1464no—
641C2×C4—1464no—
642C2×C4—1464no—
643C2×C4—1464no—
644C2×C4—1464no—
645C2×C4—1464no—
646C2×C4—1464no—
647C2×C4C4⋊C4×D7314yes—
648C2×C4C4⋊C4×D7318yescomplemented
649C22—738no—
650C22—1464no—
651C22—1464no—
652C22—1464no—
653C22—1468no—
654C22—1468no—
655C22—1464no—
656C22—1468no—
657C22—1468no—
658C22—1464no—
659C22—1464no—
660C22C2×C4⋊C4×D7311yescharacteristic
661C22C2×C4⋊C4×D7312yes—
662C22C4×D4×D7312yes—
663C22#1798906611yescharacteristic
664C22#1798906911yescharacteristic
665C22#120×D7311yescharacteristic
666C22C22⋊Q8×D7312yes—
667C22#123×D7311yescharacteristic
668C22#127×D7311yescharacteristic
669C22C4⋊Q8×D7311yescharacteristic
670C22C4⋊Q8×D7312yes—
671C22#1798915311yescharacteristic
672C22#1798916011yescharacteristic
673C22#1798921411yescharacteristic
674C22#1798921711yescharacteristic
675C22#1798921912yes—
676C22#1798922112yes—
677C22#1798923512yes—
678C22#1798923912yes—
679C22#1798925012yes—
680C22#1798925212yes—
681C22#1798929112yes—
682C22#1798929312yes—
683C4—28no—
684C4—24no—
685C4—44no—
686C4—81no—
687C4—81no—
688C4—2924no—
689C4—5841no—
690C4—5841no—
691C4—738no—
692C4—1468no—
693C2—1468no—
694C2#384×D7311yescharacteristic
695C2#385×D7311yescharacteristic
696C2#2261255311yescharacteristic
697C2#2261282912yes—
698C2#2261283212yes—
699C2#2261356311yescharacteristic
700C2#2261357011yescharacteristic
701C2#2261362612yes—
702C2#2261362812yes—
703C2#2261439711yescharacteristic
704C2#2261440411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC73×#1444C2
socle, cosocleC24×C73C24
prime radicalC24×D73C23
hypercenter#1444D73
hypocenterC73#13880
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ #1444

Complements

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

NH ≅ G/Ntype
4. C2×#17988456C2semidirect
7. #22608196C2semidirect
8. #22608195C2semidirect
9. #22608194C2semidirect
10. #22608159C2semidirect
11. C73×#1444C2semidirect
31. #17988434C4semidirect
88. C2×C4×Dic73C2×C4semidirect
93. #14556498C2×C4semidirect
106. #95×C73C2×C4semidirect
158. C2×C4×D73C4⋊C4semidirect
168. #11924005C4⋊C4semidirect
264. C2×C4×C73C2×C4⋊C4semidirect
289. C2×Dic73C2×C4⋊C4semidirect
329. C2×D73#384semidirect
339. Dic73#385semidirect
362. #1444D73semidirect
364. C73#13880semidirect
459. #95C4×D73semidirect
648. C2×C4C4⋊C4×D73semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D732
C2×#179884612
C2×#179884582
C2×#179884562
C2×#179884462
C2×#179884342
#226081962
#226081952
#226081942
#226081592
C73×#14442
#1388073