Finite Group Databasebeta

← #33246628

Subgroups — #33246628

Order 18688.

2726 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989098C211yesmaximal, characteristic
2#22613014C212yesmaximal, complemented
3#22612981C212yesmaximal, complemented
4#22612910C214yesmaximal, complemented
5#22612905C212yesmaximal, complemented
6#22612874C212yesmaximal, complemented
7#22612787C212yesmaximal, complemented
8#22612758C212yesmaximal, complemented
9#22612696C212yesmaximal, complemented
10#22612687C212yesmaximal, complemented
11#22612558C212yesmaximal, complemented
12C4×#14556574C214yesmaximal, complemented
13C2×#17988450C211yesmaximal, characteristic, complemented
14#22612290C212yesmaximal, complemented
15C2×C4×C22⋊C4×C73C211yesmaximal, characteristic, complemented
16C22×#11924028C2211yescharacteristic
17#17989098C4116yescomplemented
18C2×#14556574C2212yes—
19C2×#14556570C2211yescharacteristic
20C2×#14556570C2211yescharacteristic
21C2×#14556565C2211yescharacteristic
22C2×#14556565C2211yescharacteristic
23C2×#14556560C2212yes—
24C2×C4×C22⋊D73C2214yes—
25C2×C4×C22⋊D73C2212yes—
26C2×C4×C22⋊D73C2212yes—
27C2×#14556551C2214yes—
28C2×#14556550C2211yescharacteristic
29C22×C22⋊Dic73C2212yes—
30#17988491C2214yescomplemented
31#17988487C2214yes—
32#17988481C2214yes—
33#17988478C2214yescomplemented
34#17988478C2214yescomplemented
35#17988475C2214yes—
36#17988472C2214yescomplemented
37#17988471C2214yescomplemented
38#17988471C2214yescomplemented
39#17988470C2214yescomplemented
40#17988466C2214yes—
41#17988465C2214yescomplemented
42#17988464C2214yes—
43#17988463C2214yes—
44#17988460C2214yes—
45#17988459C2214yes—
46#17988454C2212yescomplemented
47#17988451C2212yescomplemented
48#17988450C2212yes—
49#17988450C2211yescharacteristic
50#17988450C2211yescharacteristic
51#17988450C2212yes—
52#17988450C2212yes—
53#17988449C2212yescomplemented
54#17988446C2212yescomplemented
55C4×#11924007C2214yescomplemented
56C4×#11924007C2214yescomplemented
57#17988438C2212yescomplemented
58C22⋊C4×Dic73C2214yes—
59C4×#11924005C2214yescomplemented
60C4×#11924005C2214yescomplemented
61C4×C22⋊Dic73C2214yes—
62#17988434C2212yescomplemented
63#17988432C2212yescomplemented
64C2×#14556498C2212yes—
65C2×#14556498C2212yes—
66#95×D73C2212yescomplemented
67C24×C4×C73C2211yescharacteristic
68C22×C22⋊C4×C73C2212yes—
69C22×C42×C73C2212yes—
70C4×C22⋊C4×C73C2212yes—
71C4×C22⋊C4×C73C2211yescharacteristic
72C4×C22⋊C4×C73C2211yescharacteristic
73C4×C22⋊C4×C73C2212yes—
74C4×C22⋊C4×C73C2212yes—
75C2×#95×C73C2212yes—
76C2×#11924028—44no—
77C2×#11924028C2×C418yescomplemented
78C22×Dic146C2311yescharacteristic
79C22×D292C2311yescharacteristic
80C22×C22⋊D73C2312yes—
81C22×C22⋊D73C2312yes—
82C22×C22⋊D73C2312yes—
83C23×Dic73C2314yes—
84C22×C4×D73C2314yes—
85C22×C4×D73C2312yes—
86#14556574C2×C4116yescomplemented
87#14556570C2×C418yescomplemented
88#14556570C2×C418yescomplemented
89#14556565C2×C418yescomplemented
90#14556565C2×C418yescomplemented
91#14556560C2×C4116yescomplemented
92C4×C22⋊D73—48no—
93C4×C22⋊D73C2×C4116yescomplemented
94C4×C22⋊D73C2×C4116yescomplemented
95#14556551—216no—
96#14556550C2×C418yescomplemented
97C2×C4⋊Dic73C2311yescharacteristic
98C2×C4⋊Dic73C2311yescharacteristic
99C2×#11924007C2314yes—
100C2×#11924007C2314yes—
101C2×#11924007C2314yes—
102C2×#11924007C2312yes—
103C2×#11924007C2312yes—
104C2×C22⋊Dic73—44no—
105C2×C22⋊Dic73C2314yes—
106C2×C22⋊Dic73C2312yes—
107C2×C22⋊Dic73C2312yes—
108C2×C22⋊Dic73C2312yes—
109C2×C22⋊Dic73C2312yes—
110C2×C22⋊Dic73C2312yes—
111C2×#11924005C2314yes—
112C2×#11924005C2314yes—
113C2×#11924005C2314yes—
114C2×#11924005C2312yes—
115C2×#11924005C2312yes—
116C2×C4×Dic73C2314yes—
117C2×C4×Dic73C2314yes—
118C2×C4×Dic73C2314yes—
119C2×C4×Dic73C2312yes—
120#14556498C2312yes—
121#14556498C2314yes—
122#14556498C2312yes—
123#14556498C2312yes—
124#14556498C2314yes—
125#14556498C2312yes—
126#14556498C2314yes—
127#14556498C2314yes—
128#14556498C2314yes—
129#14556498C2314yes—
130#14556498C2314yes—
131#14556498C2314yes—
132C25×C73C2311yescharacteristic
133C23×C4×C73—44no—
134C23×C4×C73C2×C418yescomplemented
135C23×C4×C73C2314yes—
136C23×C4×C73C2311yescharacteristic
137C23×C4×C73C2311yescharacteristic
138C23×C4×C73C2311yescharacteristic
139C23×C4×C73C2311yescharacteristic
140C23×C4×C73C2311yescharacteristic
141C23×C4×C73C2311yescharacteristic
142C2×C22⋊C4×C73—28no—
143C2×C22⋊C4×C73C2312yes—
144C2×C22⋊C4×C73C2314yes—
145C2×C22⋊C4×C73C2312yes—
146C2×C42×C73—44no—
147C2×C42×C73C2312yes—
148C2×C42×C73C2314yes—
149C2×C42×C73C2312yes—
150#95×C73C2312yes—
151#95×C73C2312yes—
152#95×C73C2314yes—
153C23×D73C2412yes—
154#11924028—416no—
155C2×Dic146—42no—
156C2×Dic146C22×C414yes—
157C2×D292—42no—
158C2×D292C22×C414yes—
159C2×C22⋊D73—28no—
160C2×C22⋊D73—28no—
161C2×C22⋊D73—42no—
162C2×C22⋊D73—42no—
163C2×C22⋊D73C22×C418yes—
164C2×C22⋊D73C22×C418yes—
165C2×C22⋊D73C22×C418yes—
166C22×Dic73—28no—
167C22×Dic73—44no—
168C22×Dic73—44no—
169C22×Dic73C2414yes—
170C22×Dic73C2414yes—
171C22×Dic73C2412yes—
172C22×Dic73C2412yes—
173C22×Dic73C2412yes—
174C2×C4×D73—28no—
175C2×C4×D73—44no—
176C2×C4×D73—44no—
177C2×C4×D73—44no—
178C2×C4×D73C22×C418yes—
179C4⋊Dic73C22×C414yes—
180C4⋊Dic73C22×C414yes—
181#11924007—28no—
182#11924007—44no—
183#11924007—44no—
184#11924007C22×C418yes—
185#11924007C22×C418yes—
186C22⋊Dic73—28no—
187C22⋊Dic73—42no—
188C22⋊Dic73—42no—
189C22⋊Dic73C22×C418yes—
190C22⋊Dic73C22×C418yes—
191C22⋊Dic73C22×C418yes—
192#11924005—28no—
193#11924005—44no—
194#11924005—44no—
195#11924005C22×C418yes—
196#11924005C22×C418yes—
197C4×Dic73—28no—
198C4×Dic73—44no—
199C4×Dic73—44no—
200C4×Dic73C22×C418yes—
201C24×C73—24no—
202C24×C73—24no—
203C24×C73—42no—
204C24×C73C22×C414yes—
205C24×C73C2411yescharacteristic
206C24×C73C2411yescharacteristic
207C24×C73C2411yescharacteristic
208C22×C4×C73—24no—
209C22×C4×C73—24no—
210C22×C4×C73—28no—
211C22×C4×C73—28no—
212C22×C4×C73—416no—
213C22×C4×C73—42no—
214C22×C4×C73—42no—
215C22×C4×C73—42no—
216C22×C4×C73—42no—
217C22×C4×C73—44no—
218C22×C4×C73C22×C414yes—
219C22×C4×C73C22×C414yes—
220C22×C4×C73C22×C414yes—
221C22×C4×C73C22×C414yes—
222C22×C4×C73C22×C414yes—
223C22×C4×C73C22×C414yes—
224C22×C4×C73C2414yes—
225C22×C4×C73C2411yescharacteristic
226C22×C4×C73C2411yescharacteristic
227C22×C4×C73C2411yescharacteristic
228C22×C4×C73C2411yescharacteristic
229C22×C4×C73C2414yes—
230C22⋊C4×C73—24no—
231C22⋊C4×C73—28no—
232C22⋊C4×C73#4118yescomplemented
233C42×C73—42no—
234C42×C73—44no—
235C42×C73—42no—
236C23×C73—22no—
237C23×C73—22no—
238C23×C73—22no—
239C23×C73—22no—
240C23×C73—28no—
241C23×C73—28no—
242C23×C73—22no—
243C23×C73—22no—
244C23×C73—22no—
245C23×C73—44no—
246C23×C73—416no—
247C23×C73C23×C412yes—
248C23×C73C23×C412yes—
249C23×C73C23×C412yes—
250C23×C73C2×#4114yes—
251C23×C73H(5,𝔽2)14yes—
252C23×C73C2511yescharacteristic
253C22×D73—24no—
254C22×D73—24no—
255C22×D73—22no—
256C22×D73—22no—
257C22×D73C23×C414yes—
258C2×C4×C73—28no—
259C2×C4×C73—28no—
260C2×C4×C73—22no—
261C2×C4×C73—22no—
262C2×C4×C73—24no—
263C2×C4×C73—22no—
264C2×C4×C73—22no—
265C2×C4×C73—24no—
266C2×C4×C73—24no—
267C2×C4×C73—24no—
268C2×C4×C73—24no—
269C2×C4×C73—44no—
270C2×C4×C73—44no—
271C2×C4×C73—44no—
272C2×C4×C73—44no—
273C2×C4×C73—416no—
274C2×C4×C73C23×C412yes—
275C2×C4×C73C23×C412yes—
276C2×C4×C73C23×C412yes—
277C2×C4×C73C23×C412yes—
278C2×C4×C73C2×#4118yes—
279C22⋊D73—216no—
280C22⋊D73—216no—
281C22⋊D73—48no—
282C2×Dic73—24no—
283C2×Dic73—24no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—24no—
287C2×Dic73—24no—
288C2×Dic73—24no—
289C2×Dic73—24no—
290C2×Dic73—24no—
291C2×Dic73—24no—
292C2×Dic73—88no—
293C2×Dic73C23×C414yes—
294C2×Dic73C23×C414yes—
295C2×Dic73C23×C414yes—
296D292—44no—
297C4×D73—48no—
298C4×D73—88no—
299Dic146—44no—
300C22×C73—22no—
301C22×C73—22no—
302C22×C73—22no—
303C22×C73—22no—
304C22×C73—28no—
305C22×C73—28no—
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—416no—
310C22×C73—44no—
311C22×C73C4×#4114yes—
312C22×C73#51814yes—
313C22×C73C24×C411yescharacteristic
314C22×C73C22×#4112yes—
315C22×C73C2×H(5,𝔽2)12yes—
316C22×C73#58512yes—
317C2×D73—24no—
318C2×D73—24no—
319C2×D73—24no—
320C2×D73—44no—
321C2×D73—44no—
322C4×C73—22no—
323C4×C73—22no—
324C4×C73—22no—
325C4×C73—22no—
326C4×C73—28no—
327C4×C73—44no—
328Dic73—24no—
329Dic73—24no—
330Dic73—24no—
331Dic73—44no—
332Dic73—44no—
333#34228—731nomaximal, Sylow
334C2×C73—24no—
335C2×C73—24no—
336C2×C73—42no—
337C2×C73C2×C4×#4111yescharacteristic
338C2×C73C2×#51811yescharacteristic
339C2×C73#342811yescharacteristic
340C2×C73#351314yes—
341D73—44no—
342C2×#525—731no—
343#2368—732no—
344#2364—732no—
345#2358—734no—
346#2357—732no—
347#2353—732no—
348#2343—732no—
349#2339—732no—
350#2333—732no—
351#2332—732no—
352#2318—732no—
353C4×#123—734no—
354C2×#381—731no—
355#2275—732no—
356C2×C4×C22⋊C4D7311yescharacteristic, complemented
357C73#3422811yescharacteristic, complemented, Sylow
358C22×#41—731no—
359C24×C4C2×D7311yescharacteristic
360#525—7316no—
361C2×#123—732no—
362C2×C22⋊Q8—731no—
363C2×C22⋊Q8—731no—
364C2×#121—731no—
365C2×#121—731no—
366C2×#120—732no—
367C2×C4×D4—734no—
368C2×C4×D4—732no—
369C2×C4×D4—732no—
370C2×C4×D4—734no—
371C2×#117—731no—
372C22×C22⋊C4—732no—
373C22×C22⋊C4C2×D7312yes—
374C22×C42C2×D7312yes—
375#391—734no—
376#390—734no—
377#388—734no—
378#388—734no—
379#388—734no—
380#388—734no—
381#387—734no—
382#387—734no—
383#387—734no—
384#387—734no—
385#386—734no—
386#386—734no—
387#386—734no—
388#386—734no—
389#385—734no—
390#385—734no—
391#383—732no—
392#382—732no—
393#381—732no—
394#381—732no—
395#381—731no—
396#381—731no—
397#381—732no—
398#381—732no—
399#380—732no—
400C4×C4⋊C4—734no—
401C4×C4⋊C4—734no—
402C4×C4⋊C4—732no—
403C4×C22⋊C4—734no—
404C4×C22⋊C4—734no—
405C4×C22⋊C4—734no—
406C4×C22⋊C4—734no—
407C4×C22⋊C4—732no—
408C4×C22⋊C4C2×D7311yescharacteristic
409C4×C22⋊C4C2×D7312yes—
410C4×C22⋊C4C2×D7312yes—
411C4×C22⋊C4C2×D7312yes—
412C4×C22⋊C4C2×D7311yescharacteristic
413#376—732no—
414C2×#95—732no—
415C2×#95—732no—
416C2×#95—732no—
417C2×#95C2×D7312yes—
418C25C22×D7311yescharacteristic
419C2×#41—2924no—
420C2×#41—738no—
421C22×Q8—731no—
422C22×D4—732no—
423C22×D4—732no—
424C22×D4—732no—
425C22×D4—731no—
426C23×C4—44no—
427C23×C4—732no—
428C23×C4—734no—
429C23×C4—734no—
430C23×C4C4×D7318yescomplemented
431C23×C4C22×D7314yes—
432C23×C4C22×D7311yescharacteristic
433C23×C4C22×D7311yescharacteristic
434C23×C4C22×D7311yescharacteristic
435C23×C4C22×D7311yescharacteristic
436C23×C4C22×D7311yescharacteristic
437C23×C4C22×D7311yescharacteristic
438#123—7316no—
439C22⋊Q8—738no—
440C22⋊Q8—738no—
441#121—738no—
442#121—738no—
443#120—7316no—
444C4×D4—2928no—
445C4×D4—7316no—
446C4×D4—7316no—
447C4×D4—14616no—
448#117—738no—
449C2×C4⋊C4—734no—
450C2×C4⋊C4—734no—
451C2×C4⋊C4—731no—
452C2×C4⋊C4—731no—
453C2×C4⋊C4—732no—
454C2×C4⋊C4—732no—
455C2×C4⋊C4—734no—
456C2×C22⋊C4—28no—
457C2×C22⋊C4—2924no—
458C2×C22⋊C4—732no—
459C2×C22⋊C4—732no—
460C2×C22⋊C4—734no—
461C2×C22⋊C4—734no—
462C2×C22⋊C4—732no—
463C2×C22⋊C4—732no—
464C2×C22⋊C4—732no—
465C2×C22⋊C4—732no—
466C2×C22⋊C4—732no—
467C2×C22⋊C4—734no—
468C2×C22⋊C4—734no—
469C2×C22⋊C4C22×D7312yes—
470C2×C22⋊C4C22×D7314yes—
471C2×C22⋊C4C22×D7312yes—
472C2×C42—44no—
473C2×C42—734no—
474C2×C42—734no—
475C2×C42—732no—
476C2×C42—734no—
477C2×C42C22×D7312yes—
478C2×C42C22×D7314yes—
479C2×C42C22×D7312yes—
480#95—732no—
481#95—732no—
482#95—732no—
483#95—734no—
484#95—734no—
485#95—732no—
486#95—734no—
487#95—734no—
488#95—734no—
489#95—734no—
490#95—734no—
491#95—734no—
492#95C22×D7312yes—
493#95C22×D7312yes—
494#95C22×D7314yes—
495C24—24no—
496C24—24no—
497C24—42no—
498C24—732no—
499C24C2×C4×D7314yes—
500C24C23×D7311yescharacteristic
501C24C23×D7311yescharacteristic
502C24C23×D7311yescharacteristic
503#41—29216no—
504C2×Q8—2922no—
505C2×Q8—734no—
506C2×D4—2922no—
507C2×D4—2922no—
508C2×D4—2922no—
509C2×D4—738no—
510C2×D4—738no—
511C2×D4—738no—
512C2×D4—734no—
513C2×D4—1468no—
514C2×D4—1468no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—28no—
518C22×C4—28no—
519C22×C4—416no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4—2924no—
526C22×C4—2924no—
527C22×C4—2924no—
528C22×C4—2924no—
529C22×C4—2924no—
530C22×C4—738no—
531C22×C4—732no—
532C22×C4—732no—
533C22×C4—732no—
534C22×C4—734no—
535C22×C4—734no—
536C22×C4—1468no—
537C22×C4—1468no—
538C22×C4C2×C4×D7314yes—
539C22×C4C2×C4×D7314yes—
540C22×C4C2×C4×D7314yes—
541C22×C4C2×C4×D7314yes—
542C22×C4C2×C4×D7314yes—
543C22×C4C2×C4×D7314yes—
544C22×C4C23×D7314yes—
545C22×C4C23×D7311yescharacteristic
546C22×C4C23×D7311yescharacteristic
547C22×C4C23×D7311yescharacteristic
548C22×C4C23×D7311yescharacteristic
549C22×C4C23×D7314yes—
550C4⋊C4—2924no—
551C4⋊C4—2924no—
552C4⋊C4—738no—
553C4⋊C4—738no—
554C4⋊C4—734no—
555C4⋊C4—734no—
556C4⋊C4—1468no—
557C22⋊C4—24no—
558C22⋊C4—28no—
559C22⋊C4—2924no—
560C22⋊C4—2924no—
561C22⋊C4—2922no—
562C22⋊C4—2922no—
563C22⋊C4—738no—
564C22⋊C4—738no—
565C22⋊C4—738no—
566C22⋊C4—738no—
567C22⋊C4—738no—
568C22⋊C4—1468no—
569C22⋊C4—1468no—
570C22⋊C4#1192402818yescomplemented
571C42—42no—
572C42—44no—
573C42—42no—
574C42—2924no—
575C42—2924no—
576C42—738no—
577C42—1468no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—28no—
586C23—28no—
587C23—44no—
588C23—416no—
589C23—734no—
590C23—1464no—
591C23—1464no—
592C23—1462no—
593C23—1462no—
594C23C22×C4×D7312yes—
595C23C22×C4×D7312yes—
596C23C22×C4×D7312yes—
597C23C2×#1192402814yes—
598C23#1455663614yes—
599C23C24×D7311yescharacteristic
600Q8—2924no—
601D4—2924no—
602D4—2928no—
603D4—14616no—
604D4—14616no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—416no—
621C2×C4—2928no—
622C2×C4—5848no—
623C2×C4—5848no—
624C2×C4—734no—
625C2×C4—734no—
626C2×C4—734no—
627C2×C4—1464no—
628C2×C4—1464no—
629C2×C4—1464no—
630C2×C4—1464no—
631C2×C4—1464no—
632C2×C4—1464no—
633C2×C4—1464no—
634C2×C4—1464no—
635C2×C4—1462no—
636C2×C4—1462no—
637C2×C4C22×C4×D7312yes—
638C2×C4C22×C4×D7312yes—
639C2×C4C22×C4×D7312yes—
640C2×C4C22×C4×D7312yes—
641C2×C4C2×#1192402818yes—
642C22—28no—
643C22—28no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22—416no—
652C22—44no—
653C22—2924no—
654C22—2924no—
655C22—1464no—
656C22—1464no—
657C22—1464no—
658C22C4×#1192402814yes—
659C22#1798906014yes—
660C22C23×C4×D7311yescharacteristic
661C22C22×#1192402812yes—
662C22C2×#1455663612yes—
663C22#1798942312yes—
664C4—28no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—44no—
670C4—2924no—
671C4—2924no—
672C4—1464no—
673C4—1464no—
674C4—1464no—
675C2—24no—
676C2—24no—
677C2—42no—
678C2—2924no—
679C2C2×C4×#1192402811yescharacteristic
680C2C2×#1798906011yescharacteristic
681C2#2262313211yescharacteristic
682C2#2262387114yes—
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
FittingC2×C4×C22⋊C4×C73C2
socle, cosocleC23×C73C25
prime radicalC2×#17989098C2
hypercenterC2×C4×C22⋊C4D73
hypocenterC73#34228
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #22613014C2semidirect
3. #22612981C2semidirect
4. #22612910C2semidirect
5. #22612905C2semidirect
6. #22612874C2semidirect
7. #22612787C2semidirect
8. #22612758C2semidirect
9. #22612696C2semidirect
10. #22612687C2semidirect
11. #22612558C2semidirect
12. C4×#14556574C2semidirect
13. C2×#17988450C2semidirect
14. #22612290C2semidirect
15. C2×C4×C22⋊C4×C73C2semidirect
17. #17989098C4semidirect
30. #17988491C22semidirect
33. #17988478C22semidirect
34. #17988478C22semidirect
36. #17988472C22semidirect
37. #17988471C22semidirect
38. #17988471C22semidirect
39. #17988470C22semidirect
41. #17988465C22semidirect
46. #17988454C22semidirect
47. #17988451C22semidirect
53. #17988449C22semidirect
54. #17988446C22semidirect
55. C4×#11924007C22semidirect
56. C4×#11924007C22semidirect
57. #17988438C22semidirect
59. C4×#11924005C22semidirect
60. C4×#11924005C22semidirect
62. #17988434C22semidirect
63. #17988432C22semidirect
66. #95×D73C22semidirect
77. C2×#11924028C2×C4semidirect
86. #14556574C2×C4semidirect
87. #14556570C2×C4semidirect
88. #14556570C2×C4semidirect
89. #14556565C2×C4semidirect
90. #14556565C2×C4semidirect
91. #14556560C2×C4semidirect
93. C4×C22⋊D73C2×C4semidirect
94. C4×C22⋊D73C2×C4semidirect
96. #14556550C2×C4semidirect
134. C23×C4×C73C2×C4semidirect
232. C22⋊C4×C73#41semidirect
356. C2×C4×C22⋊C4D73semidirect
357. C73#34228semidirect
430. C23×C4C4×D73semidirect
570. C22⋊C4#11924028semidirect

Maximal subgroups

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

subgroupindex
C2×#179890982
#226130142
#226129812
#226129102
#226129052
#226128742
#226127872
#226127582
#226126962
#226126872
#226125582
C4×#145565742
C2×#179884502
#226122902
C2×C4×C22⋊C4×C732
#3422873