Finite Group Databasebeta

← #33249199

Subgroups — #33249199

Order 18688.

2486 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
1#22613097C212yesmaximal, complemented
2#22613088C212yesmaximal, complemented
3#22612927C214yesmaximal, complemented
4#22612904C212yesmaximal, complemented
5#22612871C212yesmaximal, complemented
6#22612791C212yesmaximal, complemented
7#22612761C212yesmaximal, complemented
8#22612698C212yesmaximal, complemented
9#22612689C212yesmaximal, complemented
10#22612592C214yesmaximal, complemented
11#22612574C212yesmaximal, complemented
12#22612564C212yesmaximal, complemented
13#22612314C211yesmaximal, characteristic, complemented
14C2×#17988450C211yesmaximal, characteristic, complemented
15C2×#525×C73C211yesmaximal, characteristic
16C2×D4×Dic73C2214yes—
17C2×#14556550C2212yes—
18C22×C22⋊Dic73C2212yes—
19#17988494C2214yescomplemented
20#17988490C2214yes—
21#17988490C2214yes—
22#17988486C2214yescomplemented
23#17988480C2214yes—
24#17988480C2214yes—
25#17988480C2214yes—
26#17988480C2214yes—
27#17988480C2214yescomplemented
28#17988480C2214yescomplemented
29#17988473C2214yescomplemented
30#17988473C2214yescomplemented
31#17988473C2214yescomplemented
32#17988473C2214yescomplemented
33#17988467C2214yes—
34#17988467C2214yes—
35#17988467C2214yes—
36#17988467C2214yescomplemented
37#17988462C2214yes—
38#17988462C2214yescomplemented
39#17988455C2212yescomplemented
40#17988453C2212yescomplemented
41#17988450C2212yes—
42#17988450C2211yescharacteristic
43#17988450C2211yescharacteristic
44#17988450C2212yes—
45#17988450C2212yes—
46#17988450C2212yes—
47#17988450C2212yescomplemented
48#17988447C2212yes—
49#17988447C2212yes—
50#17988447C2212yescomplemented
51#17988443C2212yes—
52C4⋊C4×Dic73C2214yescomplemented
53C4×C4⋊Dic73C2212yescomplemented
54C22⋊C4×Dic73C2214yes—
55C22⋊C4×Dic73C2214yescomplemented
56C4×C22⋊Dic73C2211yescharacteristic
57C4×C22⋊Dic73C2211yescharacteristic
58C4×C22⋊Dic73C2212yes—
59C4×C22⋊Dic73C2212yescomplemented
60#17988433C2212yescomplemented
61C2×#14556498C2212yes—
62C2×#14556498C2212yes—
63C2×#14556498C2212yescomplemented
64C22×#41×C73C2211yescharacteristic
65C24×C4×C73C2211yescharacteristic
66#525×C73C4116yescomplemented
67C2×#123×C73C2212yes—
68C2×C22⋊Q8×C73C2211yescharacteristic
69C2×C22⋊Q8×C73C2211yescharacteristic
70C2×#121×C73C2211yescharacteristic
71C2×#121×C73C2211yescharacteristic
72C2×#120×C73C2212yes—
73C2×C4×D4×C73C2212yes—
74C2×C4×D4×C73C2212yes—
75C2×#117×C73C2211yescharacteristic
76C23×Dic73C2314yes—
77C23×Dic73C2314yes—
78D4×Dic73—48no—
79#14556550—44no—
80C2×C4⋊Dic73C2314yes—
81C2×C4⋊Dic73C2314yes—
82C2×C4⋊Dic73C2314yes—
83C2×C4⋊Dic73C2314yes—
84C2×C22⋊Dic73—44no—
85C2×C22⋊Dic73C2314yes—
86C2×C22⋊Dic73C2312yes—
87C2×C22⋊Dic73C2314yes—
88C2×C22⋊Dic73C2312yes—
89C2×C22⋊Dic73C2314yes—
90C2×C22⋊Dic73C2314yes—
91C2×C22⋊Dic73C2312yes—
92C2×C22⋊Dic73C2314yes—
93C2×C22⋊Dic73C2312yes—
94C2×C22⋊Dic73C2314yes—
95C2×C4×Dic73C2314yes—
96C2×C4×Dic73C2312yes—
97C2×C4×Dic73C2312yes—
98C2×C4×Dic73C2314yes—
99C2×C4×Dic73C2314yes—
100#14556498C2312yes—
101#14556498C2312yes—
102#14556498C2314yes—
103#14556498C2312yes—
104#14556498C2314yes—
105#14556498C2312yes—
106#14556498C2312yes—
107#14556498C2314yes—
108#14556498C2314yes—
109#14556498C2312yes—
110#14556498C2314yes—
111#14556498C2314yes—
112#14556498C2314yes—
113#14556498C2314yes—
114#14556498C2314yes—
115C25×C73C2311yescharacteristic
116C2×#41×C73—44no—
117C2×#41×C73C2×C418yes—
118C22×Q8×C73C2311yescharacteristic
119C22×D4×C73C2312yes—
120C22×D4×C73C2312yes—
121C22×D4×C73C2312yes—
122C22×D4×C73C2311yescharacteristic
123C23×C4×C73—44no—
124C23×C4×C73C2×C418yescomplemented
125C23×C4×C73C2311yescharacteristic
126C23×C4×C73C2311yescharacteristic
127C23×C4×C73C2312yes—
128C23×C4×C73C2311yescharacteristic
129C23×C4×C73C2311yescharacteristic
130C23×C4×C73C2311yescharacteristic
131C23×C4×C73C2311yescharacteristic
132#123×C73C2×C4116yescomplemented
133C22⋊Q8×C73C2×C418yescomplemented
134C22⋊Q8×C73C2×C418yescomplemented
135#121×C73C2×C418yescomplemented
136#121×C73C2×C418yescomplemented
137#120×C73C2×C4116yescomplemented
138C4×D4×C73C2×C4116yescomplemented
139C4×D4×C73C2×C4116yescomplemented
140#117×C73C2×C418yescomplemented
141C2×C4⋊C4×C73C2312yes—
142C2×C4⋊C4×C73C2311yescharacteristic
143C2×C4⋊C4×C73C2311yescharacteristic
144C2×C4⋊C4×C73C2312yes—
145C2×C22⋊C4×C73C2312yes—
146C2×C22⋊C4×C73C2312yes—
147C2×C22⋊C4×C73C2312yes—
148C2×C22⋊C4×C73C2312yes—
149C2×C22⋊C4×C73C2312yes—
150C2×C42×C73C2312yes—
151C22×Dic73—28no—
152C22×Dic73—44no—
153C22×Dic73—44no—
154C22×Dic73—44no—
155C22×Dic73—44no—
156C22×Dic73—44no—
157C22×Dic73C2414yes—
158C22×Dic73C2414yes—
159C22×Dic73C2414yes—
160C22×Dic73C2414yes—
161C4⋊Dic73—44no—
162C4⋊Dic73—44no—
163C4⋊Dic73—44no—
164C4⋊Dic73—44no—
165C22⋊Dic73—28no—
166C22⋊Dic73—42no—
167C22⋊Dic73—44no—
168C22⋊Dic73—42no—
169C22⋊Dic73—44no—
170C22⋊Dic73—42no—
171C22⋊Dic73—44no—
172C22⋊Dic73—42no—
173C22⋊Dic73—44no—
174C22⋊Dic73—44no—
175C4×Dic73—44no—
176C4×Dic73—44no—
177C4×Dic73—42no—
178C4×Dic73—42no—
179C4×Dic73—44no—
180C24×C73—24no—
181C24×C73—42no—
182C24×C73—42no—
183C24×C73C22×C414yes—
184C24×C73C2411yescharacteristic
185C24×C73C2411yescharacteristic
186C24×C73C2412yes—
187C24×C73C2411yescharacteristic
188#41×C73—416no—
189C2×Q8×C73—42no—
190C2×Q8×C73C22×C414yes—
191C2×D4×C73—28no—
192C2×D4×C73—42no—
193C2×D4×C73—44no—
194C2×D4×C73—42no—
195C2×D4×C73—42no—
196C2×D4×C73C22×C418yes—
197C2×D4×C73C22×C418yes—
198C2×D4×C73C22×C418yes—
199C2×D4×C73C22×C414yes—
200C22×C4×C73—24no—
201C22×C4×C73—24no—
202C22×C4×C73—416no—
203C22×C4×C73—42no—
204C22×C4×C73—42no—
205C22×C4×C73—42no—
206C22×C4×C73—42no—
207C22×C4×C73—44no—
208C22×C4×C73C22×C414yes—
209C22×C4×C73C22×C414yes—
210C22×C4×C73C22×C414yes—
211C22×C4×C73C22×C414yes—
212C22×C4×C73C22×C418yes—
213C22×C4×C73C22×C414yes—
214C22×C4×C73C22×C414yes—
215C22×C4×C73C2411yescharacteristic
216C22×C4×C73C2412yes—
217C22×C4×C73C2412yes—
218C22×C4×C73C2411yescharacteristic
219C22×C4×C73C2411yescharacteristic
220C22×C4×C73C2412yes—
221C22×C4×C73C2411yescharacteristic
222C4⋊C4×C73C22×C414yes—
223C4⋊C4×C73C22×C414yes—
224C4⋊C4×C73C22×C418yes—
225C4⋊C4×C73C22×C418yes—
226C22⋊C4×C73C22×C418yes—
227C22⋊C4×C73C22×C418yes—
228C22⋊C4×C73C22×C418yes—
229C22⋊C4×C73C22×C418yes—
230C22⋊C4×C73C22×C418yes—
231C42×C73C22×C418yes—
232C23×C73—22no—
233C23×C73—22no—
234C23×C73—28no—
235C23×C73—22no—
236C23×C73—22no—
237C23×C73—24no—
238C23×C73—22no—
239C23×C73—22no—
240C23×C73—22no—
241C23×C73—24no—
242C23×C73—22no—
243C23×C73—22no—
244C23×C73—22no—
245C23×C73—44no—
246C23×C73—44no—
247C23×C73—416no—
248C23×C73C23×C412yes—
249C23×C73C23×C412yes—
250C23×C73C23×C414yes—
251C23×C73C23×C412yes—
252C23×C73H(5,𝔽2)14yes—
253C23×C73C2511yescharacteristic
254Q8×C73—44no—
255D4×C73—216no—
256D4×C73—48no—
257D4×C73—48no—
258D4×C73—44no—
259C2×C4×C73—28no—
260C2×C4×C73—28no—
261C2×C4×C73—22no—
262C2×C4×C73—22no—
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—24no—
266C2×C4×C73—22no—
267C2×C4×C73—24no—
268C2×C4×C73—22no—
269C2×C4×C73—44no—
270C2×C4×C73—44no—
271C2×C4×C73—44no—
272C2×C4×C73—44no—
273C2×C4×C73—48no—
274C2×C4×C73C23×C412yes—
275C2×C4×C73C23×C414yes—
276C2×C4×C73C23×C414yes—
277C2×C4×C73C23×C412yes—
278C2×C4×C73C23×C412yes—
279C2×C4×C73C23×C414yes—
280C2×C4×C73C23×C412yes—
281C2×Dic73—24no—
282C2×Dic73—24no—
283C2×Dic73—24no—
284C2×Dic73—24no—
285C2×Dic73—24no—
286C2×Dic73—24no—
287C2×Dic73—24no—
288C2×Dic73—24no—
289C2×Dic73—24no—
290C2×Dic73—24no—
291C2×Dic73—24no—
292C2×Dic73—24no—
293C2×Dic73—88no—
294C2×Dic73—88no—
295C22×C73—22no—
296C22×C73—22no—
297C22×C73—28no—
298C22×C73—22no—
299C22×C73—22no—
300C22×C73—24no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—24no—
304C22×C73—24no—
305C22×C73—22no—
306C22×C73—22no—
307C22×C73—416no—
308C22×C73—44no—
309C22×C73—44no—
310C22×C73—44no—
311C22×C73—44no—
312C22×C73#51814yes—
313C22×C73C24×C411yescharacteristic
314C22×C73C2×H(5,𝔽2)12yes—
315C22×C73#58512yes—
316C22×C73#58512yes—
317C4×C73—22no—
318C4×C73—22no—
319C4×C73—22no—
320C4×C73—22no—
321C4×C73—24no—
322C4×C73—24no—
323C4×C73—24no—
324Dic73—44no—
325Dic73—44no—
326Dic73—44no—
327Dic73—44no—
328#34396—731nomaximal, Sylow
329C2×C73—24no—
330C2×C73—44no—
331C2×C73—42no—
332C2×C73—42no—
333C2×C73C2×#51811yescharacteristic
334C2×C73#342811yescharacteristic
335C2×C73#342811yescharacteristic
336C2×C73#353314yes—
337C2×#525D7311yescharacteristic
338#2378—732no—
339#2377—732no—
340#2359—734no—
341#2357—732no—
342#2353—732no—
343#2343—732no—
344#2339—732no—
345#2333—732no—
346#2332—732no—
347#2321—734no—
348#2319—732no—
349#2318—732no—
350#2280—731no—
351C2×#381—731no—
352C73#3439611yescharacteristic, complemented, Sylow
353C22×#41C2×D7311yescharacteristic
354C24×C4C2×D7311yescharacteristic
355#525Dic73116yescomplemented
356C2×#123C2×D7312yes—
357C2×C22⋊Q8C2×D7311yescharacteristic
358C2×C22⋊Q8C2×D7311yescharacteristic
359C2×#121C2×D7311yescharacteristic
360C2×#121C2×D7311yescharacteristic
361C2×#120C2×D7312yes—
362C2×C4×D4—734no—
363C2×C4×D4C2×D7312yes—
364C2×C4×D4C2×D7312yes—
365C2×#117—732no—
366C2×#117C2×D7311yescharacteristic
367C22×C22⋊C4—732no—
368#391—734no—
369#390—734no—
370#390—734no—
371#389—734no—
372#388—734no—
373#388—734no—
374#388—734no—
375#388—734no—
376#388—734no—
377#388—734no—
378#387—734no—
379#387—734no—
380#387—734no—
381#387—734no—
382#386—734no—
383#386—734no—
384#386—734no—
385#386—734no—
386#385—734no—
387#385—734no—
388#383—732no—
389#382—732no—
390#381—731no—
391#381—731no—
392#381—732no—
393#381—732no—
394#381—732no—
395#381—732no—
396#381—732no—
397#380—732no—
398#380—732no—
399#380—732no—
400#379—732no—
401C4×C4⋊C4—734no—
402C4×C4⋊C4—732no—
403C4×C22⋊C4—732no—
404C4×C22⋊C4—732no—
405C4×C22⋊C4—731no—
406C4×C22⋊C4—731no—
407C4×C22⋊C4—734no—
408C4×C22⋊C4—734no—
409#376—732no—
410C2×#95—732no—
411C2×#95—732no—
412C2×#95—732no—
413C25C22×D7311yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic7318yes—
416C22×Q8C22×D7311yescharacteristic
417C22×D4C22×D7312yes—
418C22×D4C22×D7312yes—
419C22×D4C22×D7312yes—
420C22×D4C22×D7311yescharacteristic
421C23×C4—44no—
422C23×C4—734no—
423C23×C4—734no—
424C23×C4C2×Dic7318yescomplemented
425C23×C4C22×D7311yescharacteristic
426C23×C4C22×D7311yescharacteristic
427C23×C4C22×D7311yescharacteristic
428C23×C4C22×D7311yescharacteristic
429C23×C4C22×D7312yes—
430C23×C4C22×D7311yescharacteristic
431C23×C4C22×D7311yescharacteristic
432#123C2×Dic73116yescomplemented
433C22⋊Q8C2×Dic7318yescomplemented
434C22⋊Q8C2×Dic7318yescomplemented
435#121C2×Dic7318yescomplemented
436#121C2×Dic7318yescomplemented
437#120C2×Dic73116yescomplemented
438C4×D4—2928no—
439C4×D4C2×Dic73116yescomplemented
440C4×D4C2×Dic73116yescomplemented
441#117—2924no—
442#117C2×Dic7318yescomplemented
443C2×C4⋊C4—734no—
444C2×C4⋊C4—734no—
445C2×C4⋊C4—734no—
446C2×C4⋊C4—734no—
447C2×C4⋊C4C22×D7311yescharacteristic
448C2×C4⋊C4C22×D7311yescharacteristic
449C2×C4⋊C4C22×D7312yes—
450C2×C4⋊C4C22×D7312yes—
451C2×C22⋊C4—2924no—
452C2×C22⋊C4—732no—
453C2×C22⋊C4—734no—
454C2×C22⋊C4—732no—
455C2×C22⋊C4—734no—
456C2×C22⋊C4—732no—
457C2×C22⋊C4—734no—
458C2×C22⋊C4—732no—
459C2×C22⋊C4—734no—
460C2×C22⋊C4—734no—
461C2×C22⋊C4—734no—
462C2×C22⋊C4C22×D7312yes—
463C2×C22⋊C4C22×D7312yes—
464C2×C22⋊C4C22×D7312yes—
465C2×C22⋊C4C22×D7312yes—
466C2×C22⋊C4C22×D7312yes—
467C2×C42—732no—
468C2×C42—732no—
469C2×C42—734no—
470C2×C42—734no—
471C2×C42—734no—
472C2×C42C22×D7312yes—
473#95—732no—
474#95—732no—
475#95—732no—
476#95—734no—
477#95—732no—
478#95—734no—
479#95—732no—
480#95—734no—
481#95—734no—
482#95—732no—
483#95—734no—
484#95—734no—
485#95—734no—
486#95—734no—
487#95—734no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic7314yes—
492C24C23×D7311yescharacteristic
493C24C23×D7311yescharacteristic
494C24C23×D7312yes—
495C24C23×D7311yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic7314yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4C22×Dic7318yes—
505C2×D4C22×Dic7318yes—
506C2×D4C22×Dic7318yes—
507C2×D4C22×Dic7314yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—2924no—
517C22×C4—2924no—
518C22×C4—2924no—
519C22×C4—2924no—
520C22×C4—2924no—
521C22×C4—734no—
522C22×C4—734no—
523C22×C4—734no—
524C22×C4—734no—
525C22×C4—1468no—
526C22×C4C22×Dic7314yes—
527C22×C4C22×Dic7314yes—
528C22×C4C22×Dic7314yes—
529C22×C4C22×Dic7314yes—
530C22×C4C22×Dic7318yes—
531C22×C4C22×Dic7314yes—
532C22×C4C22×Dic7314yes—
533C22×C4C23×D7311yescharacteristic
534C22×C4C23×D7311yescharacteristic
535C22×C4C23×D7311yescharacteristic
536C22×C4C23×D7312yes—
537C22×C4C23×D7312yes—
538C22×C4C23×D7312yes—
539C22×C4C23×D7311yescharacteristic
540C4⋊C4—2924no—
541C4⋊C4—2924no—
542C4⋊C4—2924no—
543C4⋊C4—2924no—
544C4⋊C4C22×Dic7314yes—
545C4⋊C4C22×Dic7314yes—
546C4⋊C4C22×Dic7318yes—
547C4⋊C4C22×Dic7318yes—
548C22⋊C4—2922no—
549C22⋊C4—2924no—
550C22⋊C4—2922no—
551C22⋊C4—2924no—
552C22⋊C4—2922no—
553C22⋊C4—2924no—
554C22⋊C4—2922no—
555C22⋊C4—2924no—
556C22⋊C4—2924no—
557C22⋊C4—1468no—
558C22⋊C4C22×Dic7318yes—
559C22⋊C4C22×Dic7318yes—
560C22⋊C4C22×Dic7318yes—
561C22⋊C4C22×Dic7318yes—
562C22⋊C4C22×Dic7318yes—
563C42—2924no—
564C42—2924no—
565C42—2922no—
566C42—2922no—
567C42—2924no—
568C42C22×Dic7318yes—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—28no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic7312yes—
586C23C23×Dic7312yes—
587C23C23×Dic7314yes—
588C23C23×Dic7312yes—
589C23#1455663614yes—
590C23C24×D7311yescharacteristic
591Q8—44no—
592D4—216no—
593D4—44no—
594D4—48no—
595D4—48no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—28no—
605C2×C4—28no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—5848no—
612C2×C4—5848no—
613C2×C4—1464no—
614C2×C4—1464no—
615C2×C4—1464no—
616C2×C4—1464no—
617C2×C4—1464no—
618C2×C4—1464no—
619C2×C4—1464no—
620C2×C4—1464no—
621C2×C4—1464no—
622C2×C4—1464no—
623C2×C4—1464no—
624C2×C4—1464no—
625C2×C4C23×Dic7312yes—
626C2×C4C23×Dic7314yes—
627C2×C4C23×Dic7314yes—
628C2×C4C23×Dic7312yes—
629C2×C4C23×Dic7312yes—
630C2×C4C23×Dic7314yes—
631C2×C4C23×Dic7312yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1798906214yes—
650C22C24×Dic7311yescharacteristic
651C22C2×#1455663612yes—
652C22#1798942312yes—
653C22#1798942312yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—2924no—
662C4—2924no—
663C4—2924no—
664C4—2924no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1798906211yescharacteristic
670C2#2262313411yescharacteristic
671C2#2262313411yescharacteristic
672C2#2262409514yes—
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
Fitting, prime radicalC2×#525×C73C2
socle, cosocleC23×C73C25
hypercenterC2×#525D73
hypocenterC73#34396
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #22613097C2semidirect
2. #22613088C2semidirect
3. #22612927C2semidirect
4. #22612904C2semidirect
5. #22612871C2semidirect
6. #22612791C2semidirect
7. #22612761C2semidirect
8. #22612698C2semidirect
9. #22612689C2semidirect
10. #22612592C2semidirect
11. #22612574C2semidirect
12. #22612564C2semidirect
13. #22612314C2semidirect
14. C2×#17988450C2semidirect
19. #17988494C22semidirect
22. #17988486C22semidirect
27. #17988480C22semidirect
28. #17988480C22semidirect
29. #17988473C22semidirect
30. #17988473C22semidirect
31. #17988473C22semidirect
32. #17988473C22semidirect
36. #17988467C22semidirect
38. #17988462C22semidirect
39. #17988455C22semidirect
40. #17988453C22semidirect
47. #17988450C22semidirect
50. #17988447C22semidirect
52. C4⋊C4×Dic73C22semidirect
53. C4×C4⋊Dic73C22semidirect
55. C22⋊C4×Dic73C22semidirect
59. C4×C22⋊Dic73C22semidirect
60. #17988433C22semidirect
63. C2×#14556498C22semidirect
66. #525×C73C4semidirect
124. C23×C4×C73C2×C4semidirect
132. #123×C73C2×C4semidirect
133. C22⋊Q8×C73C2×C4semidirect
134. C22⋊Q8×C73C2×C4semidirect
135. #121×C73C2×C4semidirect
136. #121×C73C2×C4semidirect
137. #120×C73C2×C4semidirect
138. C4×D4×C73C2×C4semidirect
139. C4×D4×C73C2×C4semidirect
140. #117×C73C2×C4semidirect
352. C73#34396semidirect
355. #525Dic73semidirect
424. C23×C4C2×Dic73semidirect
432. #123C2×Dic73semidirect
433. C22⋊Q8C2×Dic73semidirect
434. C22⋊Q8C2×Dic73semidirect
435. #121C2×Dic73semidirect
436. #121C2×Dic73semidirect
437. #120C2×Dic73semidirect
439. C4×D4C2×Dic73semidirect
440. C4×D4C2×Dic73semidirect
442. #117C2×Dic73semidirect

Maximal subgroups

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

subgroupindex
#226130972
#226130882
#226129272
#226129042
#226128712
#226127912
#226127612
#226126982
#226126892
#226125922
#226125742
#226125642
#226123142
C2×#179884502
C2×#525×C732
#3439673