Finite Group Databasebeta

← C4×Q8×C22⋊D73 #33245846

Subgroups — C4×Q8×C22⋊D73 #33245846

Order 18688.

3148 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×Q8×C22⋊D73C211yesmaximal, characteristic
2C2×C4×Q8×D73C211yesmaximal, characteristic, complemented
3#22612985C213yesmaximal, complemented
4#22612936C213yesmaximal, complemented
5#22612932C213yesmaximal, complemented
6Q8×#11924007C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D73C213yesmaximal
8Q8×C22⋊Dic73C211yesmaximal, characteristic, complemented
9Q8×#11924005C211yesmaximal, characteristic, complemented
10C4×#14556589C213yesmaximal, complemented
11C4×#14556570C213yesmaximal, complemented
12C4×#14556567C213yesmaximal, complemented
13C4×Q8×Dic73C211yesmaximal, characteristic, complemented
14C42×C22⋊D73C213yesmaximal
15C22×C4×Q8×C73C211yesmaximal, characteristic, complemented
16C22×Q8×D73C2211yescharacteristic
17Q8×C22⋊D73C4116yesdirect product factor
18C2×#14556589C2213yes—
19C2×#14556570C2213yes—
20C2×#14556567C2213yes—
21C2×Q8×Dic73C2211yescharacteristic
22C2×Q8×Dic73C2211yescharacteristic
23C2×Q8×Dic73C2211yescharacteristic
24C2×C4×Dic146C2213yes—
25C2×#14556556C2213yes—
26C4×Q8×D73—28no—
27C2×C4×C22⋊D73C2213yes—
28C2×C4×C22⋊D73C2213yes—
29C2×C4×C22⋊D73C2211yescharacteristic
30C2×C4⋊C4×D73C2213yes—
31C2×C42×D73C2213yes—
32#17988494C2213yes—
33#17988494C2213yes—
34#17988493C2213yes—
35#17988492C2213yes—
36#17988485C2213yes—
37#17988483C2213yes—
38#17988482C2216yes—
39#17988482C2216yes—
40#17988471C2216yes—
41#17988468C2216yes—
42#17988460C2216yes—
43#17988458C2216yes—
44#17988456C2213yes—
45#17988447C2213yes—
46#17988444C2213yes—
47C4⋊C4×Dic73C2213yes—
48C4⋊C4×Dic73C2213yes—
49C4×#11924007C2213yes—
50C4×#11924007C2216yes—
51C4×#11924007C2213yes—
52C4×#11924007C2213yes—
53C4×C4⋊Dic73C2213yes—
54C4×#11924005C2213yes—
55C4×#11924005C2213yes—
56C4×#11924005C2213yes—
57C4×C22⋊Dic73C2213yes—
58C4×C22⋊Dic73C2213yes—
59C4×C22⋊Dic73C2213yes—
60C42×Dic73C2213yes—
61C23×Q8×C73C2211yescharacteristic
62C2×C4×Q8×C73—28no—
63C2×C4×Q8×C73C2213yes—
64C2×C4×Q8×C73C2211yescharacteristic
65C2×C4×Q8×C73C2213yes—
66C2×C4×Q8×C73C2211yescharacteristic
67C22×C4⋊C4×C73C2213yes—
68C22×C42×C73C2213yes—
69C22×Dic146C2313yes—
70C2×Q8×D73—24no—
71C2×Q8×D73—24no—
72C2×Q8×D73C2×C418yescomplemented
73C22×C22⋊D73C2311yescharacteristic
74C22×C4×D73C2313yes—
75C22×C4×D73C2313yes—
76C22×C4×D73C2311yescharacteristic
77#14556589C2×C4124yescomplemented
78#14556570C2×C4124yescomplemented
79#14556567C2×C4124yescomplemented
80Q8×Dic73—24no—
81Q8×Dic73—24no—
82Q8×Dic73C2×C418yescomplemented
83C4×Dic146—212no—
84#14556556—212no—
85C4×C22⋊D73—212no—
86C4×C22⋊D73C2×C4124yes—
87C4×C22⋊D73Q818yesdirect product factor
88C2×C4⋊Dic73C2313yes—
89C2×C4⋊Dic73C2313yes—
90C2×C4⋊Dic73C2313yes—
91C2×#11924007C2313yes—
92C2×#11924007C2316yes—
93C2×#11924007C2316yes—
94C2×#11924007C2313yes—
95C2×#11924007C2316yes—
96C2×#11924007C2311yescharacteristic
97C4⋊C4×D73—212no—
98C2×C22⋊Dic73C2313yes—
99C2×C22⋊Dic73C2313yes—
100C2×C22⋊Dic73C2311yescharacteristic
101C2×#11924005C2313yes—
102C2×#11924005C2313yes—
103C2×#11924005C2311yescharacteristic
104C2×C4×Dic73C2313yes—
105C2×C4×Dic73C2313yes—
106C2×C4×Dic73C2313yes—
107C2×C4×Dic73C2313yes—
108C2×C4×Dic73C2313yes—
109C2×C4×Dic73C2313yes—
110C2×C4×Dic73C2313yes—
111C2×C4×Dic73C2313yes—
112C2×C4×Dic73C2311yescharacteristic
113C42×D73—212no—
114#14556498C2313yes—
115#14556498C2313yes—
116#14556498C2313yes—
117#14556498C2313yes—
118#14556498C2313yes—
119#14556498C2313yes—
120#14556498C2316yes—
121#14556498C2316yes—
122#14556498C2316yes—
123C22×Q8×C73—24no—
124C22×Q8×C73—24no—
125C22×Q8×C73C2×C418yescomplemented
126C22×Q8×C73C2313yes—
127C22×Q8×C73C2311yescharacteristic
128C23×C4×C73C2313yes—
129C23×C4×C73C2313yes—
130C23×C4×C73C2311yescharacteristic
131C4×Q8×C73—24no—
132C4×Q8×C73—212no—
133C4×Q8×C73—212no—
134C4×Q8×C73D418yescomplemented
135C2×C4⋊C4×C73—212no—
136C2×C4⋊C4×C73C2313yes—
137C2×C4⋊C4×C73C2316yes—
138C2×C4⋊C4×C73C2313yes—
139C2×C42×C73—212no—
140C2×C42×C73C2313yes—
141C2×C42×C73C2313yes—
142C2×C42×C73C2313yes—
143C2×C42×C73C2313yes—
144C23×D73C2411yescharacteristic
145C2×Dic146—26no—
146C2×Dic146—26no—
147C2×Dic146C22×C4112yes—
148Q8×D73—232no—
149C2×C22⋊D73C22×C414yes—
150C2×C22⋊D73C2×Q814yes—
151C2×C22⋊D73#4114yes—
152C22×Dic73C2413yes—
153C22×Dic73C2413yes—
154C22×Dic73C2413yes—
155C22×Dic73C2413yes—
156C22×Dic73C2411yescharacteristic
157C22×Dic73C2411yescharacteristic
158C22×Dic73C2411yescharacteristic
159C2×C4×D73—22no—
160C2×C4×D73—26no—
161C2×C4×D73—26no—
162C2×C4×D73—22no—
163C2×C4×D73—26no—
164C2×C4×D73—26no—
165C2×C4×D73—43no—
166C2×C4×D73C22×C4112yes—
167C2×C4×D73C2×Q814yescomplemented
168C4⋊Dic73—26no—
169C4⋊Dic73—26no—
170C4⋊Dic73C22×C4112yes—
171#11924007—212no—
172#11924007—26no—
173#11924007—46no—
174#11924007C22×C4112yes—
175#11924007C22×C4124yes—
176#11924007C2×Q814yescomplemented
177C22⋊Dic73—26no—
178C22⋊Dic73C22×C4112yes—
179C22⋊Dic73C2×Q814yescomplemented
180#11924005—26no—
181#11924005C22×C4112yes—
182#11924005C2×Q814yescomplemented
183C4×Dic73—26no—
184C4×Dic73—26no—
185C4×Dic73—26no—
186C4×Dic73—26no—
187C4×Dic73—26no—
188C4×Dic73—26no—
189C4×Dic73—43no—
190C4×Dic73C22×C4112yes—
191C4×Dic73C2×Q814yescomplemented
192C24×C73C2411yescharacteristic
193C2×Q8×C73—232no—
194C2×Q8×C73—26no—
195C2×Q8×C73—26no—
196C2×Q8×C73C22×C4112yes—
197C2×Q8×C73C22×C414yes—
198C2×Q8×C73C2×D414yes—
199C2×Q8×C73#4114yes—
200C22×C4×C73—22no—
201C22×C4×C73—26no—
202C22×C4×C73—26no—
203C22×C4×C73—22no—
204C22×C4×C73—26no—
205C22×C4×C73—26no—
206C22×C4×C73—43no—
207C22×C4×C73C22×C4112yes—
208C22×C4×C73C2×Q814yescomplemented
209C22×C4×C73C2413yes—
210C22×C4×C73C2413yes—
211C22×C4×C73C2413yes—
212C22×C4×C73C2411yescharacteristic
213C22×C4×C73C2413yes—
214C22×C4×C73C2411yescharacteristic
215C4⋊C4×C73—212no—
216C4⋊C4×C73—26no—
217C4⋊C4×C73C2×D4112yes—
218C42×C73—26no—
219C42×C73—26no—
220C42×C73—26no—
221C42×C73C2×D4112yes—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—21no—
225C23×C73—21no—
226C23×C73C23×C412yes—
227C23×C73C22×Q812yes—
228C23×C73C2×#4112yes—
229C23×C73C2511yescharacteristic
230C22×D73—21no—
231C22×D73—21no—
232C22×D73—21no—
233C22×D73—21no—
234C22×D73C23×C412yes—
235C22×D73C22×Q812yes—
236C22×D73C2×#4112yes—
237Q8×C73—224no—
238Q8×C73C4×D4116yescomplemented
239C2×C4×C73—21no—
240C2×C4×C73—23no—
241C2×C4×C73—23no—
242C2×C4×C73—23no—
243C2×C4×C73—21no—
244C2×C4×C73—23no—
245C2×C4×C73—224no—
246C2×C4×C73—28no—
247C2×C4×C73—23no—
248C2×C4×C73—23no—
249C2×C4×C73—23no—
250C2×C4×C73—412no—
251C2×C4×C73C23×C416yes—
252C2×C4×C73C23×C416yes—
253C2×C4×C73C22×D416yes—
254C2×C4×C73C22×D416yes—
255C2×C4×C73C22×D412yes—
256C2×C4×C73C22×Q812yes—
257C2×C4×C73C22×Q812yes—
258C2×C4×C73C2×#4116yes—
259C2×C4×C732−1+412yes—
260C22⋊D73C4×Q8116yesdirect product factor
261C2×Dic73—21no—
262C2×Dic73—23no—
263C2×Dic73—21no—
264C2×Dic73—23no—
265C2×Dic73—23no—
266C2×Dic73—21no—
267C2×Dic73—21no—
268C2×Dic73—23no—
269C2×Dic73—23no—
270C2×Dic73—23no—
271C2×Dic73—23no—
272C2×Dic73—23no—
273C2×Dic73—23no—
274C2×Dic73—23no—
275C2×Dic73C23×C416yes—
276C2×Dic73C23×C416yes—
277C2×Dic73C23×C412yes—
278C2×Dic73C22×Q812yes—
279C2×Dic73C22×Q812yes—
280C2×Dic73C22×Q812yes—
281C2×Dic73C2×#4112yes—
282C4×D73—224no—
283C4×D73—28no—
284C4×D73—412no—
285Dic146—224no—
286C22×C73—22no—
287C22×C73—22no—
288C22×C73—22no—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73C2×C4×Q814yescomplemented
293C22×C73C24×C411yescharacteristic
294C22×C73C23×D411yescharacteristic
295C22×C73C23×Q811yescharacteristic
296C22×C73C22×#4111yescharacteristic
297C22×C73C22×#4111yescharacteristic
298C22×C73C2×2−1+411yescharacteristic
299C22×C73#58511yescharacteristic
300C2×D73—22no—
301C2×D73—22no—
302C2×D73—22no—
303C2×D73—22no—
304C2×D73—22no—
305C2×D73—22no—
306C2×D73C2×C4×Q814yescomplemented
307C4×C73—26no—
308C4×C73—22no—
309C4×C73—26no—
310C4×C73—43no—
311C4×C73C2×C4×D4112yes—
312C4×C73D4×Q814yescomplemented
313Dic73—26no—
314Dic73—26no—
315Dic73—22no—
316Dic73—22no—
317Dic73—43no—
318Dic73—43no—
319Dic73C2×C4×Q814yescomplemented
320C4×D4×Q8—731nomaximal, Sylow
321C2×C73—24no—
322C2×C73C22×C4×D411yescharacteristic
323C2×C73C22×C4×Q811yescharacteristic
324C2×C73C4×2−1+411yescharacteristic
325C2×C73C2×D4×Q811yescharacteristic
326C2×C73D4×#4111yescharacteristic
327C2×C73Q8×#4111yescharacteristic
328C2×C73#348211yescharacteristic
329D73—24no—
330C2×D4×Q8—731no—
331C22×C4×Q8—731no—
332C22×C4×Q8D7311yescharacteristic, complemented
333#2365—733no—
334#2360—733no—
335#2360—733no—
336Q8×C4⋊C4—731no—
337D4×C4⋊C4—733no—
338Q8×C22⋊C4—731no—
339Q8×C22⋊C4—731no—
340C4×C4⋊Q8—733no—
341C4×C22⋊Q8—733no—
342C4×C22⋊Q8—733no—
343C42×Q8—731no—
344C42×D4—733no—
345C73C4×D4×Q811yescharacteristic, complemented, Sylow
346C23×Q8—731no—
347C23×Q8C2×D7311yescharacteristic
348D4×Q8—7316no—
349C2×C4⋊Q8—733no—
350C2×C22⋊Q8—733no—
351C2×C22⋊Q8—733no—
352C2×C4×Q8—28no—
353C2×C4×Q8—731no—
354C2×C4×Q8—731no—
355C2×C4×Q8—731no—
356C2×C4×Q8—733no—
357C2×C4×Q8—733no—
358C2×C4×Q8—1468no—
359C2×C4×Q8C2×D7313yes—
360C2×C4×Q8C2×D7311yescharacteristic
361C2×C4×Q8C2×D7313yes—
362C2×C4×Q8C2×D7311yescharacteristic
363C2×C4×D4—733no—
364C2×C4×D4—731no—
365C2×C4×D4—733no—
366C22×C4⋊C4—733no—
367C22×C4⋊C4C2×D7313yes—
368C22×C42—733no—
369C22×C42C2×D7313yes—
370#391—733no—
371#391—733no—
372#391—733no—
373#391—733no—
374#389—736no—
375#389—736no—
376#389—733no—
377#389—733no—
378#387—736no—
379#387—736no—
380#385—736no—
381#385—736no—
382#384—733no—
383#380—733no—
384#380—733no—
385C4×C4⋊C4—733no—
386C4×C4⋊C4—733no—
387C4×C4⋊C4—733no—
388C4×C4⋊C4—736no—
389C4×C4⋊C4—733no—
390C4×C4⋊C4—733no—
391C4×C4⋊C4—733no—
392C4×C22⋊C4—733no—
393C4×C22⋊C4—733no—
394C4×C22⋊C4—733no—
395C4×C22⋊C4—733no—
396C4×C22⋊C4—733no—
397C4×C22⋊C4—733no—
398C43—733no—
399C22×Q8—24no—
400C22×Q8—24no—
401C22×Q8—738no—
402C22×Q8—733no—
403C22×Q8—1464no—
404C22×Q8—1464no—
405C22×Q8C4×D7318yescomplemented
406C22×Q8C22×D7313yes—
407C22×Q8C22×D7311yescharacteristic
408C22×D4—731no—
409C23×C4—733no—
410C23×C4—733no—
411C23×C4—731no—
412C23×C4C22×D7313yes—
413C23×C4C22×D7313yes—
414C23×C4C22×D7311yescharacteristic
415C4⋊Q8—7324no—
416C22⋊Q8—7324no—
417C22⋊Q8—7324no—
418C4×Q8—24no—
419C4×Q8—212no—
420C4×Q8—212no—
421C4×Q8—738no—
422C4×Q8—1464no—
423C4×Q8—1464no—
424C4×Q8—14612no—
425C4×Q8—14612no—
426C4×Q8C22⋊D7318yesdirect product factor
427C4×D4—7324no—
428C4×D4—738no—
429C4×D4—14612no—
430C2×C4⋊C4—212no—
431C2×C4⋊C4—736no—
432C2×C4⋊C4—733no—
433C2×C4⋊C4—731no—
434C2×C4⋊C4—733no—
435C2×C4⋊C4—736no—
436C2×C4⋊C4—733no—
437C2×C4⋊C4—736no—
438C2×C4⋊C4—733no—
439C2×C4⋊C4—733no—
440C2×C4⋊C4—14612no—
441C2×C4⋊C4C22×D7313yes—
442C2×C4⋊C4C22×D7316yes—
443C2×C4⋊C4C22×D7313yes—
444C2×C22⋊C4—733no—
445C2×C22⋊C4—731no—
446C2×C22⋊C4—733no—
447C2×C22⋊C4—731no—
448C2×C22⋊C4—733no—
449C2×C22⋊C4—733no—
450C2×C42—212no—
451C2×C42—733no—
452C2×C42—733no—
453C2×C42—731no—
454C2×C42—733no—
455C2×C42—733no—
456C2×C42—733no—
457C2×C42—733no—
458C2×C42—733no—
459C2×C42—733no—
460C2×C42—14612no—
461C2×C42C22×D7313yes—
462C2×C42C22×D7313yes—
463C2×C42C22×D7313yes—
464C2×C42C22×D7313yes—
465#95—733no—
466#95—733no—
467#95—733no—
468#95—733no—
469#95—733no—
470#95—733no—
471#95—736no—
472#95—736no—
473#95—736no—
474C24—731no—
475C24C23×D7311yescharacteristic
476C2×Q8—232no—
477C2×Q8—26no—
478C2×Q8—26no—
479C2×Q8—7312no—
480C2×Q8—14632no—
481C2×Q8—1466no—
482C2×Q8—1466no—
483C2×Q8C2×C4×D73112yes—
484C2×Q8C2×C4×D7314yes—
485C2×Q8C2×C22⋊D7314yes—
486C2×Q8#1192402814yes—
487C2×D4—734no—
488C2×D4—734no—
489C2×D4—734no—
490C22×C4—22no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—22no—
494C22×C4—26no—
495C22×C4—26no—
496C22×C4—43no—
497C22×C4—2923no—
498C22×C4—731no—
499C22×C4—731no—
500C22×C4—731no—
501C22×C4—733no—
502C22×C4—733no—
503C22×C4—7312no—
504C22×C4—734no—
505C22×C4—733no—
506C22×C4—733no—
507C22×C4—1466no—
508C22×C4—1466no—
509C22×C4—1462no—
510C22×C4—1466no—
511C22×C4—1466no—
512C22×C4—1462no—
513C22×C4C2×C4×D73112yes—
514C22×C4Q8×D7314yescomplemented
515C22×C4C23×D7313yes—
516C22×C4C23×D7313yes—
517C22×C4C23×D7313yes—
518C22×C4C23×D7311yescharacteristic
519C22×C4C23×D7313yes—
520C22×C4C23×D7311yescharacteristic
521C4⋊C4—212no—
522C4⋊C4—26no—
523C4⋊C4—2926no—
524C4⋊C4—7312no—
525C4⋊C4—7324no—
526C4⋊C4—7312no—
527C4⋊C4—734no—
528C4⋊C4—1466no—
529C4⋊C4—14612no—
530C4⋊C4—1466no—
531C4⋊C4—1466no—
532C4⋊C4C2×C22⋊D73112yes—
533C22⋊C4—7312no—
534C22⋊C4—734no—
535C22⋊C4—7312no—
536C22⋊C4—734no—
537C22⋊C4—1466no—
538C22⋊C4—1466no—
539C42—26no—
540C42—26no—
541C42—26no—
542C42—2923no—
543C42—7312no—
544C42—734no—
545C42—1466no—
546C42—1466no—
547C42—1466no—
548C42—1466no—
549C42—1466no—
550C42—1466no—
551C42C2×C22⋊D73112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—732no—
557C23—732no—
558C23—732no—
559C23—1461no—
560C23—1461no—
561C23—1461no—
562C23—1461no—
563C23C22×C4×D7312yes—
564C23C2×Q8×D7312yes—
565C23#41×D7312yes—
566C23C24×D7311yescharacteristic
567Q8—224no—
568Q8—14624no—
569Q8C4×C22⋊D73116yesdirect product factor
570D4—7316no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—28no—
578C2×C4—224no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—412no—
583C2×C4—29212no—
584C2×C4—732no—
585C2×C4—732no—
586C2×C4—732no—
587C2×C4—736no—
588C2×C4—736no—
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—1461no—
598C2×C4—1463no—
599C2×C4—1461no—
600C2×C4—1463no—
601C2×C4—1463no—
602C2×C4—1461no—
603C2×C4—1461no—
604C2×C4—1463no—
605C2×C4—1468no—
606C2×C4—14624no—
607C2×C4C22×C4×D7316yes—
608C2×C4C22×C4×D7316yes—
609C2×C4C22×C22⋊D7316yes—
610C2×C4C22×C22⋊D7312yes—
611C2×C4C22×C22⋊D7316yes—
612C2×C4C2×Q8×D7312yes—
613C2×C4C2×Q8×D7312yes—
614C2×C4C2×#1192402816yes—
615C2×C4#1455663912yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—734no—
623C22—1462no—
624C22—1462no—
625C22—1462no—
626C22—1462no—
627C22—1462no—
628C22—1462no—
629C22C4×Q8×D7314yescomplemented
630C22C23×C4×D7311yescharacteristic
631C22C23×C22⋊D7311yescharacteristic
632C22C22×Q8×D7311yescharacteristic
633C22C2×#41×D7311yescharacteristic
634C22C22×#1192402811yescharacteristic
635C22C2×#1455663911yescharacteristic
636C22#1798942311yescharacteristic
637C4—26no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—2923no—
642C4—2923no—
643C4—734no—
644C4—1462no—
645C4—1466no—
646C4—1466no—
647C4—1462no—
648C4C2×C4×C22⋊D73112yes—
649C4Q8×C22⋊D7314yesdirect product factor
650C2—24no—
651C2—1464no—
652C2C22×C4×C22⋊D7311yescharacteristic
653C2C2×C4×Q8×D7311yescharacteristic
654C2C4×#1455663911yescharacteristic
655C2C2×Q8×C22⋊D7311yescharacteristic
656C2#41×C22⋊D7311yescharacteristic
657C2Q8×#1192402811yescharacteristic
658C2#2262354811yescharacteristic
subgroupG/H
centerC22×C4C23×D73
commutatorC22×C73C24×C4
FrattiniC23C24×D73
FittingC22×C4×Q8×C73C2
socle, cosocleC23×C73C25
prime radicalC22×C22⋊D73C23
hypercenterC22×C4×Q8D73
hypocenterC73C4×D4×Q8
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D73C2semidirect
3. #22612985C2semidirect
4. #22612936C2semidirect
5. #22612932C2semidirect
6. Q8×#11924007C2semidirect
8. Q8×C22⋊Dic73C2semidirect
9. Q8×#11924005C2semidirect
10. C4×#14556589C2semidirect
11. C4×#14556570C2semidirect
12. C4×#14556567C2semidirect
13. C4×Q8×Dic73C2semidirect
15. C22×C4×Q8×C73C2semidirect
17. Q8×C22⋊D73C4direct (N × H)
72. C2×Q8×D73C2×C4semidirect
77. #14556589C2×C4semidirect
78. #14556570C2×C4semidirect
79. #14556567C2×C4semidirect
82. Q8×Dic73C2×C4semidirect
87. C4×C22⋊D73Q8direct (N × H)
125. C22×Q8×C73C2×C4semidirect
134. C4×Q8×C73D4semidirect
167. C2×C4×D73C2×Q8semidirect
176. #11924007C2×Q8semidirect
179. C22⋊Dic73C2×Q8semidirect
182. #11924005C2×Q8semidirect
191. C4×Dic73C2×Q8semidirect
208. C22×C4×C73C2×Q8semidirect
238. Q8×C73C4×D4semidirect
260. C22⋊D73C4×Q8direct (N × H)
292. C22×C73C2×C4×Q8semidirect
306. C2×D73C2×C4×Q8semidirect
312. C4×C73D4×Q8semidirect
319. Dic73C2×C4×Q8semidirect
332. C22×C4×Q8D73semidirect
345. C73C4×D4×Q8semidirect
405. C22×Q8C4×D73semidirect
426. C4×Q8C22⋊D73direct (N × H)
514. C22×C4Q8×D73semidirect
569. Q8C4×C22⋊D73direct (N × H)
629. C22C4×Q8×D73semidirect
649. C4Q8×C22⋊D73direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D732
C2×C4×Q8×D732
#226129852
#226129362
#226129322
Q8×#119240072
C4⋊C4×C22⋊D732
Q8×C22⋊Dic732
Q8×#119240052
C4×#145565892
C4×#145565702
C4×#145565672
C4×Q8×Dic732
C42×C22⋊D732
C22×C4×Q8×C732
C4×D4×Q873