Finite Group Databasebeta

← #548×Dic73 #33245812

Subgroups — #548×Dic73 #33245812

Order 18688.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic73C211yesmaximal, characteristic, complemented
2C22×Q8×Dic73C211yesmaximal, characteristic, complemented
3#22613006C213yesmaximal, complemented
4#22612962C213yesmaximal, complemented
5#22612951C213yesmaximal, complemented
6#22612860C213yesmaximal, complemented
7#22612852C211yesmaximal, characteristic, complemented
8#22612772C211yesmaximal, characteristic, complemented
9Q8×C22⋊Dic73C211yesmaximal, characteristic, complemented
10#124×Dic73C213yesmaximal, complemented
11C22⋊Q8×Dic73C213yesmaximal, complemented
12#121×Dic73C213yesmaximal, complemented
13C4×Q8×Dic73C211yesmaximal, characteristic, complemented
14C4×D4×Dic73C213yesmaximal, complemented
15C2×#548×C73C211yesmaximal, characteristic
16#41×Dic73—28no—
17C2×Q8×Dic73—28no—
18C2×Q8×Dic73C2213yes—
19C2×Q8×Dic73C2211yescharacteristic
20C2×Q8×Dic73C2211yescharacteristic
21C2×Q8×Dic73C2211yescharacteristic
22C2×Q8×Dic73C2213yes—
23C2×Q8×Dic73C2211yescharacteristic
24C2×D4×Dic73C2213yes—
25C2×D4×Dic73C2213yes—
26C2×D4×Dic73C2213yes—
27C2×D4×Dic73C2213yes—
28C2×#14556550C2213yes—
29C22×C4⋊Dic73C2213yes—
30C22×C4×Dic73C2213yes—
31C22×C4×Dic73C2213yes—
32#17988494C2213yes—
33#17988494C2213yes—
34#17988490C2213yes—
35#17988490C2213yes—
36#17988486C2213yes—
37#17988486C2213yes—
38#17988480C2216yes—
39#17988480C2216yes—
40#17988480C2216yes—
41#17988473C2216yes—
42#17988467C2216yes—
43#17988462C2216yes—
44#17988453C2213yes—
45#17988447C2213yes—
46#17988447C2213yes—
47C4⋊C4×Dic73C2213yes—
48C4⋊C4×Dic73C2213yes—
49C4⋊C4×Dic73C2213yes—
50C4⋊C4×Dic73C2213yes—
51C4×C4⋊Dic73C2213yes—
52C4×C4⋊Dic73C2213yes—
53C22⋊C4×Dic73C2213yes—
54C22⋊C4×Dic73C2211yescharacteristic
55C22⋊C4×Dic73C2213yes—
56C22⋊C4×Dic73C2213yes—
57C22⋊C4×Dic73C2216yes—
58C4×C22⋊Dic73C2213yes—
59C4×C22⋊Dic73C2213yes—
60C42×Dic73C2213yes—
61C22×#41×C73C2211yescharacteristic
62C23×Q8×C73C2211yescharacteristic
63#548×C73C4116yescomplemented
64C2×#124×C73C2213yes—
65C2×C22⋊Q8×C73C2213yes—
66C2×#121×C73C2213yes—
67C2×C4×Q8×C73C2211yescharacteristic
68C2×C4×D4×C73C2213yes—
69C23×Dic73C2313yes—
70C23×Dic73C2313yes—
71C23×Dic73C2313yes—
72C23×Dic73C2311yescharacteristic
73Q8×Dic73—212no—
74Q8×Dic73—212no—
75Q8×Dic73—24no—
76Q8×Dic73—24no—
77Q8×Dic73—24no—
78Q8×Dic73D418yescomplemented
79D4×Dic73—212no—
80D4×Dic73—212no—
81D4×Dic73—212no—
82D4×Dic73—212no—
83#14556550—212no—
84C2×C4⋊Dic73—212no—
85C2×C4⋊Dic73C2313yes—
86C2×C4⋊Dic73C2313yes—
87C2×C4⋊Dic73C2313yes—
88C2×C4⋊Dic73C2313yes—
89C2×C4⋊Dic73C2313yes—
90C2×C4⋊Dic73C2316yes—
91C2×C4⋊Dic73C2313yes—
92C2×C22⋊Dic73C2313yes—
93C2×C22⋊Dic73C2313yes—
94C2×C22⋊Dic73C2313yes—
95C2×C22⋊Dic73C2316yes—
96C2×C22⋊Dic73C2316yes—
97C2×C22⋊Dic73C2311yescharacteristic
98C2×C4×Dic73—212no—
99C2×C4×Dic73—212no—
100C2×C4×Dic73C2311yescharacteristic
101C2×C4×Dic73C2313yes—
102C2×C4×Dic73C2313yes—
103C2×C4×Dic73C2313yes—
104C2×C4×Dic73C2313yes—
105C2×C4×Dic73C2313yes—
106C2×C4×Dic73C2313yes—
107C2×C4×Dic73C2311yescharacteristic
108C2×C4×Dic73C2313yes—
109C2×C4×Dic73C2313yes—
110C2×C4×Dic73C2313yes—
111C2×C4×Dic73C2313yes—
112#14556498C2311yescharacteristic
113#14556498C2313yes—
114#14556498C2313yes—
115#14556498C2313yes—
116#14556498C2311yescharacteristic
117#14556498C2313yes—
118#14556498C2316yes—
119#14556498C2316yes—
120#14556498C2316yes—
121C2×#41×C73—24no—
122C2×#41×C73—24no—
123C2×#41×C73C2×C418yescomplemented
124C22×Q8×C73—24no—
125C22×Q8×C73—24no—
126C22×Q8×C73C2×C418yescomplemented
127C22×Q8×C73C2313yes—
128C22×Q8×C73C2311yescharacteristic
129C22×D4×C73C2313yes—
130C22×D4×C73C2313yes—
131C23×C4×C73C2313yes—
132C23×C4×C73C2313yes—
133#124×C73C2×C4124yescomplemented
134C22⋊Q8×C73C2×C4124yescomplemented
135#121×C73C2×C4124yescomplemented
136C4×Q8×C73C2×C418yescomplemented
137C4×D4×C73C2×C4124yescomplemented
138C2×C4⋊C4×C73C2313yes—
139C2×C4⋊C4×C73C2313yes—
140C2×C22⋊C4×C73C2311yescharacteristic
141C2×C22⋊C4×C73C2313yes—
142C2×C22⋊C4×C73C2316yes—
143C2×C42×C73C2313yes—
144C22×Dic73—22no—
145C22×Dic73—22no—
146C22×Dic73—26no—
147C22×Dic73—26no—
148C22×Dic73—26no—
149C22×Dic73—26no—
150C22×Dic73—26no—
151C22×Dic73—26no—
152C22×Dic73—26no—
153C22×Dic73—43no—
154C22×Dic73—43no—
155C22×Dic73#4114yescomplemented
156C22×Dic73C2413yes—
157C22×Dic73C2413yes—
158C22×Dic73C2413yes—
159C22×Dic73C2413yes—
160C22×Dic73C2411yescharacteristic
161C22×Dic73C2411yescharacteristic
162C22×Dic73C2411yescharacteristic
163C22×Dic73C2411yescharacteristic
164C4⋊Dic73—26no—
165C4⋊Dic73—26no—
166C4⋊Dic73—26no—
167C4⋊Dic73—212no—
168C4⋊Dic73—26no—
169C4⋊Dic73—26no—
170C4⋊Dic73C2×D4112yes—
171C22⋊Dic73—26no—
172C22⋊Dic73—212no—
173C22⋊Dic73—26no—
174C22⋊Dic73—26no—
175C22⋊Dic73—46no—
176C22⋊Dic73#4114yescomplemented
177C4×Dic73—26no—
178C4×Dic73—26no—
179C4×Dic73—26no—
180C4×Dic73—22no—
181C4×Dic73—26no—
182C4×Dic73—26no—
183C4×Dic73—26no—
184C4×Dic73—26no—
185C4×Dic73—26no—
186C4×Dic73—22no—
187C4×Dic73—43no—
188C4×Dic73C2×D4112yes—
189C24×C73C2413yes—
190C24×C73C2411yescharacteristic
191#41×C73—232no—
192C2×Q8×C73—232no—
193C2×Q8×C73—26no—
194C2×Q8×C73—26no—
195C2×Q8×C73C22×C4112yes—
196C2×Q8×C73C22×C414yes—
197C2×Q8×C73C2×D414yes—
198C2×Q8×C73#4114yes—
199C2×D4×C73—26no—
200C2×D4×C73—26no—
201C2×D4×C73—26no—
202C2×D4×C73—26no—
203C2×D4×C73C22×C4112yes—
204C2×D4×C73C22×C4112yes—
205C22×C4×C73—26no—
206C22×C4×C73—26no—
207C22×C4×C73—26no—
208C22×C4×C73—26no—
209C22×C4×C73C22×C4112yes—
210C22×C4×C73C22×C4112yes—
211C22×C4×C73C2411yescharacteristic
212C22×C4×C73C2413yes—
213C22×C4×C73C2413yes—
214C22×C4×C73C2411yescharacteristic
215C22×C4×C73C2413yes—
216C4⋊C4×C73C22×C4112yes—
217C4⋊C4×C73C22×C4112yes—
218C22⋊C4×C73C22×C414yes—
219C22⋊C4×C73C22×C4112yes—
220C22⋊C4×C73C22×C4124yes—
221C42×C73C22×C4112yes—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73—23no—
227C23×C73—23no—
228C23×C73—23no—
229C23×C73—23no—
230C23×C73—23no—
231C23×C73—23no—
232C23×C73C23×C416yes—
233C23×C73C23×C412yes—
234C23×C73C2×#4112yes—
235C23×C73C2×#4112yes—
236C23×C73C2511yescharacteristic
237Q8×C73—224no—
238Q8×C73C4×D4116yescomplemented
239D4×C73—224no—
240D4×C73—224no—
241C2×C4×C73—21no—
242C2×C4×C73—23no—
243C2×C4×C73—21no—
244C2×C4×C73—23no—
245C2×C4×C73—23no—
246C2×C4×C73—23no—
247C2×C4×C73—21no—
248C2×C4×C73—21no—
249C2×C4×C73—224no—
250C2×C4×C73—224no—
251C2×C4×C73C23×C412yes—
252C2×C4×C73C23×C416yes—
253C2×C4×C73C23×C416yes—
254C2×C4×C73C23×C412yes—
255C2×C4×C73C23×C416yes—
256C2×C4×C73C22×D416yes—
257C2×C4×C73C2×#4116yes—
258C2×Dic73—21no—
259C2×Dic73—21no—
260C2×Dic73—21no—
261C2×Dic73—23no—
262C2×Dic73—21no—
263C2×Dic73—21no—
264C2×Dic73—23no—
265C2×Dic73—21no—
266C2×Dic73—28no—
267C2×Dic73—23no—
268C2×Dic73—23no—
269C2×Dic73—23no—
270C2×Dic73—23no—
271C2×Dic73—23no—
272C2×Dic73—23no—
273C2×Dic73—23no—
274C2×Dic73—23no—
275C2×Dic73—23no—
276C2×Dic73—412no—
277C2×Dic73—412no—
278C2×Dic73—412no—
279C2×Dic73C22×D416yes—
280C2×Dic73C22×D412yes—
281C2×Dic73C2×#4112yes—
282C2×Dic73C2×#4112yes—
283C2×Dic73C2×#4112yes—
284C2×Dic73C2×#4112yes—
285C2×Dic732−1+412yes—
286C22×C73—22no—
287C22×C73—22no—
288C22×C73—22no—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—26no—
293C22×C73—26no—
294C22×C73—26no—
295C22×C73—43no—
296C22×C73—43no—
297C22×C73—43no—
298C22×C73—43no—
299C22×C73C4×#4114yescomplemented
300C22×C73C24×C411yescharacteristic
301C22×C73C23×D411yescharacteristic
302C22×C73C22×#4111yescharacteristic
303C22×C73C22×#4111yescharacteristic
304C22×C73C22×#4111yescharacteristic
305C22×C73C2×2−1+411yescharacteristic
306C22×C73#58511yescharacteristic
307C4×C73—22no—
308C4×C73—26no—
309C4×C73—26no—
310C4×C73—22no—
311C4×C73C2×C4×D4112yes—
312Dic73—22no—
313Dic73—22no—
314Dic73—26no—
315Dic73—22no—
316Dic73—43no—
317Dic73—43no—
318Dic73—43no—
319Dic73#54814yesdirect product factor
320C4×#548—731nomaximal, Sylow
321C2×C73—24no—
322C2×C73—46no—
323C2×C73C22×C4×D411yescharacteristic
324C2×C73C2×C4×#4111yescharacteristic
325C2×C73C4×2−1+411yescharacteristic
326C2×C73C2×#54811yescharacteristic
327C2×C73D4×#4111yescharacteristic
328C2×C73#348011yescharacteristic
329C2×C73#348211yescharacteristic
330C2×#548D7311yescharacteristic
331C2×C4×#41—731no—
332C22×C4×Q8—731no—
333#2367—733no—
334#2362—733no—
335#2361—733no—
336#2352—733no—
337#2351—731no—
338#2341—731no—
339Q8×C22⋊C4—731no—
340C4×#124—733no—
341C4×C22⋊Q8—733no—
342C4×#121—733no—
343C42×Q8—731no—
344C42×D4—733no—
345C73C4×#54811yescharacteristic, complemented, Sylow
346C22×#41C2×D7311yescharacteristic
347C23×Q8C2×D7311yescharacteristic
348#548Dic73116yesdirect product factor
349C2×#124C2×D7313yes—
350C2×C22⋊Q8C2×D7313yes—
351C2×#121C2×D7313yes—
352C4×#41—1468no—
353C2×C4×Q8—731no—
354C2×C4×Q8—731no—
355C2×C4×Q8—731no—
356C2×C4×Q8—731no—
357C2×C4×Q8—733no—
358C2×C4×Q8—733no—
359C2×C4×Q8—1468no—
360C2×C4×Q8C2×D7311yescharacteristic
361C2×C4×D4—733no—
362C2×C4×D4—733no—
363C2×C4×D4—733no—
364C2×C4×D4—733no—
365C2×C4×D4C2×D7313yes—
366C2×#117—733no—
367C22×C4⋊C4—733no—
368C22×C42—733no—
369C22×C42—733no—
370#391—733no—
371#391—733no—
372#390—733no—
373#390—733no—
374#389—733no—
375#389—733no—
376#388—736no—
377#388—736no—
378#388—736no—
379#387—736no—
380#386—736no—
381#385—736no—
382#382—733no—
383#380—733no—
384#380—733no—
385C4×C4⋊C4—733no—
386C4×C4⋊C4—733no—
387C4×C4⋊C4—733no—
388C4×C4⋊C4—733no—
389C4×C4⋊C4—733no—
390C4×C4⋊C4—733no—
391C4×C22⋊C4—733no—
392C4×C22⋊C4—733no—
393C4×C22⋊C4—733no—
394C4×C22⋊C4—733no—
395C4×C22⋊C4—731no—
396C4×C22⋊C4—733no—
397C4×C22⋊C4—736no—
398C43—733no—
399C2×#41—24no—
400C2×#41—24no—
401C2×#41C2×Dic7318yescomplemented
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8C2×Dic7318yescomplemented
405C22×Q8C22×D7313yes—
406C22×Q8C22×D7311yescharacteristic
407C22×D4C22×D7313yes—
408C22×D4C22×D7313yes—
409C23×C4—733no—
410C23×C4—733no—
411C23×C4—731no—
412C23×C4—733no—
413C23×C4C22×D7313yes—
414C23×C4C22×D7313yes—
415#124C2×Dic73124yescomplemented
416C22⋊Q8C2×Dic73124yescomplemented
417#121C2×Dic73124yescomplemented
418C4×Q8—738no—
419C4×Q8—14612no—
420C4×Q8—14612no—
421C4×Q8—1464no—
422C4×Q8—1464no—
423C4×Q8—1464no—
424C4×Q8C2×Dic7318yescomplemented
425C4×D4—14612no—
426C4×D4—14612no—
427C4×D4—14612no—
428C4×D4—14612no—
429C4×D4C2×Dic73124yescomplemented
430#117—14612no—
431C2×C4⋊C4—733no—
432C2×C4⋊C4—733no—
433C2×C4⋊C4—736no—
434C2×C4⋊C4—733no—
435C2×C4⋊C4—733no—
436C2×C4⋊C4—733no—
437C2×C4⋊C4—733no—
438C2×C4⋊C4—14612no—
439C2×C4⋊C4C22×D7313yes—
440C2×C4⋊C4C22×D7313yes—
441C2×C22⋊C4—736no—
442C2×C22⋊C4—731no—
443C2×C22⋊C4—736no—
444C2×C22⋊C4—733no—
445C2×C22⋊C4—733no—
446C2×C22⋊C4—733no—
447C2×C22⋊C4C22×D7311yescharacteristic
448C2×C22⋊C4C22×D7313yes—
449C2×C22⋊C4C22×D7316yes—
450C2×C42—733no—
451C2×C42—733no—
452C2×C42—733no—
453C2×C42—733no—
454C2×C42—733no—
455C2×C42—733no—
456C2×C42—733no—
457C2×C42—733no—
458C2×C42—733no—
459C2×C42—733no—
460C2×C42—731no—
461C2×C42—731no—
462C2×C42—14612no—
463C2×C42—14612no—
464C2×C42C22×D7313yes—
465#95—731no—
466#95—731no—
467#95—733no—
468#95—733no—
469#95—733no—
470#95—733no—
471#95—736no—
472#95—736no—
473#95—736no—
474C24C23×D7313yes—
475C24C23×D7311yescharacteristic
476#41—232no—
477C2×Q8—232no—
478C2×Q8—26no—
479C2×Q8—26no—
480C2×Q8C22×Dic73112yes—
481C2×Q8C22×Dic7314yes—
482C2×Q8D4×D7314yes—
483C2×Q8#1192402714yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—26no—
487C2×D4—26no—
488C2×D4C22×Dic73112yes—
489C2×D4C22×Dic73112yes—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—2923no—
495C22×C4—2923no—
496C22×C4—731no—
497C22×C4—734no—
498C22×C4—731no—
499C22×C4—731no—
500C22×C4—731no—
501C22×C4—733no—
502C22×C4—733no—
503C22×C4—733no—
504C22×C4—733no—
505C22×C4—1466no—
506C22×C4—1466no—
507C22×C4—1466no—
508C22×C4—1466no—
509C22×C4—1466no—
510C22×C4—1466no—
511C22×C4—1466no—
512C22×C4—1462no—
513C22×C4—1462no—
514C22×C4C22×Dic73112yes—
515C22×C4C22×Dic73112yes—
516C22×C4C23×D7311yescharacteristic
517C22×C4C23×D7311yescharacteristic
518C22×C4C23×D7313yes—
519C22×C4C23×D7313yes—
520C22×C4C23×D7313yes—
521C4⋊C4—7312no—
522C4⋊C4—14612no—
523C4⋊C4—1466no—
524C4⋊C4—1466no—
525C4⋊C4—1466no—
526C4⋊C4—1466no—
527C4⋊C4—1466no—
528C4⋊C4C22×Dic73112yes—
529C4⋊C4C22×Dic73112yes—
530C22⋊C4—2926no—
531C22⋊C4—734no—
532C22⋊C4—14612no—
533C22⋊C4—1466no—
534C22⋊C4—1466no—
535C22⋊C4—1466no—
536C22⋊C4C22×Dic7314yes—
537C22⋊C4C22×Dic73112yes—
538C22⋊C4C22×Dic73124yes—
539C42—2923no—
540C42—7312no—
541C42—1462no—
542C42—1462no—
543C42—1466no—
544C42—1466no—
545C42—1466no—
546C42—1466no—
547C42—1466no—
548C42—1466no—
549C42—1466no—
550C42—1466no—
551C42C22×Dic73112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—23no—
557C23—23no—
558C23—23no—
559C23—23no—
560C23—23no—
561C23—23no—
562C23C23×Dic7316yes—
563C23C23×Dic7312yes—
564C23#41×D7312yes—
565C23#41×D7312yes—
566C23C24×D7311yescharacteristic
567Q8—224no—
568Q8D4×Dic73116yescomplemented
569D4—224no—
570D4—224no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—29212no—
582C2×C4—29212no—
583C2×C4—29212no—
584C2×C4—732no—
585C2×C4—732no—
586C2×C4—732no—
587C2×C4—736no—
588C2×C4—732no—
589C2×C4—732no—
590C2×C4—732no—
591C2×C4—1463no—
592C2×C4—1463no—
593C2×C4—1463no—
594C2×C4—1463no—
595C2×C4—1463no—
596C2×C4—1463no—
597C2×C4—1463no—
598C2×C4—1463no—
599C2×C4—1463no—
600C2×C4—1468no—
601C2×C4—1461no—
602C2×C4—1461no—
603C2×C4—1463no—
604C2×C4—1461no—
605C2×C4—1461no—
606C2×C4—1461no—
607C2×C4—1463no—
608C2×C4—1461no—
609C2×C4C23×Dic7312yes—
610C2×C4C23×Dic7316yes—
611C2×C4C23×Dic7316yes—
612C2×C4C23×Dic7312yes—
613C2×C4C23×Dic7316yes—
614C2×C4C2×D4×D7316yes—
615C2×C4C2×#1192402716yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—26no—
623C22—26no—
624C22—26no—
625C22—43no—
626C22—43no—
627C22—43no—
628C22—43no—
629C22#41×Dic7314yescomplemented
630C22C24×Dic7311yescharacteristic
631C22C22×D4×D7311yescharacteristic
632C22C2×#41×D7311yescharacteristic
633C22C2×#41×D7311yescharacteristic
634C22C22×#1192402711yescharacteristic
635C222−1+4×D7311yescharacteristic
636C22#1798942411yescharacteristic
637C4—22no—
638C4—26no—
639C4—26no—
640C4—22no—
641C4—2923no—
642C4—2923no—
643C4—2923no—
644C4—734no—
645C4—1462no—
646C4—1462no—
647C4—1462no—
648C4—1466no—
649C4C2×D4×Dic73112yes—
650C2—24no—
651C2—46no—
652C2C22×D4×Dic7311yescharacteristic
653C2C2×#41×Dic7311yescharacteristic
654C22−1+4×Dic7311yescharacteristic
655C2#548×D7311yescharacteristic
656C2#2262342011yescharacteristic
657C2#2262352111yescharacteristic
658C2#2262354711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
Fitting, prime radicalC2×#548×C73C2
socle, cosocleC23×C73C25
hypercenterC2×#548D73
hypocenterC73C4×#548
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic73C2semidirect
2. C22×Q8×Dic73C2semidirect
3. #22613006C2semidirect
4. #22612962C2semidirect
5. #22612951C2semidirect
6. #22612860C2semidirect
7. #22612852C2semidirect
8. #22612772C2semidirect
9. Q8×C22⋊Dic73C2semidirect
10. #124×Dic73C2semidirect
11. C22⋊Q8×Dic73C2semidirect
12. #121×Dic73C2semidirect
13. C4×Q8×Dic73C2semidirect
14. C4×D4×Dic73C2semidirect
63. #548×C73C4semidirect
78. Q8×Dic73D4semidirect
123. C2×#41×C73C2×C4semidirect
126. C22×Q8×C73C2×C4semidirect
133. #124×C73C2×C4semidirect
134. C22⋊Q8×C73C2×C4semidirect
135. #121×C73C2×C4semidirect
136. C4×Q8×C73C2×C4semidirect
137. C4×D4×C73C2×C4semidirect
155. C22×Dic73#41semidirect
176. C22⋊Dic73#41semidirect
238. Q8×C73C4×D4semidirect
299. C22×C73C4×#41semidirect
319. Dic73#548direct (N × H)
345. C73C4×#548semidirect
348. #548Dic73direct (N × H)
401. C2×#41C2×Dic73semidirect
404. C22×Q8C2×Dic73semidirect
415. #124C2×Dic73semidirect
416. C22⋊Q8C2×Dic73semidirect
417. #121C2×Dic73semidirect
424. C4×Q8C2×Dic73semidirect
429. C4×D4C2×Dic73semidirect
568. Q8D4×Dic73semidirect
629. C22#41×Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic732
C22×Q8×Dic732
#226130062
#226129622
#226129512
#226128602
#226128522
#226127722
Q8×C22⋊Dic732
#124×Dic732
C22⋊Q8×Dic732
#121×Dic732
C4×Q8×Dic732
C4×D4×Dic732
C2×#548×C732
C4×#54873