Finite Group Databasebeta

← #33108570

Subgroups — #33108570

Order 18688.

1066 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
1C2×#17988814C211yesmaximal, characteristic
2C2×#17988678C211yesmaximal, characteristic, complemented
3C22×#14556522C211yesmaximal, characteristic, complemented
4#22612951C211yesmaximal, characteristic
5#22612936C211yesmaximal, characteristic, complemented
6#22610786C211yesmaximal, characteristic, complemented
7#22610658C211yesmaximal, characteristic, complemented
8#22610563C211yesmaximal, characteristic, complemented
9#22610561C211yesmaximal, characteristic, complemented
10#22610236C211yesmaximal, characteristic, complemented
11#22610200C211yesmaximal, characteristic, complemented
12#22610190C211yesmaximal, characteristic, complemented
13#22609819C211yesmaximal, characteristic, complemented
14#22609705C211yesmaximal, characteristic, complemented
15C73×#1874C211yesmaximal, characteristic
16C22×#11924016C2211yescharacteristic
17C23×#10596831C2211yescharacteristic
18C2×#14556570C2211yescharacteristic
19C2×#14556556C2211yescharacteristic
20C2×D4×Dic73—21no—
21C2×D4×Dic73C2211yescharacteristic
22C22×C4⋊Dic73C2211yescharacteristic
23#17988814C418yescomplemented
24#17988678—24no—
25C2×#14556522—24no—
26C2×#14556522C2211yescharacteristic
27C2×#14556522C2211yescharacteristic
28C2×#14556522C2211yescharacteristic
29C2×#14556522C2211yescharacteristic
30C2×#14556522C2211yescharacteristic
31C2×#14556516C2211yescharacteristic
32C2×#14556516C2211yescharacteristic
33C2×#14556514C2211yescharacteristic
34C2×#14556512C2211yescharacteristic
35C2×C8×Dic73C2211yescharacteristic
36C2×C8×Dic73C2211yescharacteristic
37#17988492C2211yescharacteristic
38#17988490C2211yescharacteristic
39#17988486C2211yescharacteristic
40#17988483C2211yescharacteristic
41#17988482—21no—
42#17988480—21no—
43#17988468—21no—
44#17988467—21no—
45#17988462—21no—
46#17988460—21no—
47C4⋊C4×Dic73C2211yescharacteristic
48C4⋊C4×Dic73C2211yescharacteristic
49C4×C22⋊Dic73—21no—
50C4×C22⋊Dic73C2211yescharacteristic
51#17988350C2211yescharacteristic
52#17988350C2211yescharacteristic
53#17988341C2211yescharacteristic
54#17988341C2211yescharacteristic
55C2×#121×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C2×#102×C73C2211yescharacteristic
58C2×#102×C73C2211yescharacteristic
59C2×C22⋊C8×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×Dic146C2311yescharacteristic
63C23×Dic73—21no—
64C23×Dic73—21no—
65C2×#11924016—22no—
66C2×#11924016—22no—
67C2×#11924016C2×C414yescomplemented
68C22×#10596831—22no—
69C22×#10596831—22no—
70C22×#10596831C2×C414yescomplemented
71C22×#10596831C2311yescharacteristic
72C22×#10596831C2311yescharacteristic
73#14556570—22no—
74#14556570C2×C414yescomplemented
75#14556556—22no—
76#14556556—41no—
77D4×Dic73—22no—
78D4×Dic73—41no—
79D4×Dic73—44no—
80C2×C4⋊Dic73—22no—
81C2×C4⋊Dic73—21no—
82C2×C4⋊Dic73—21no—
83C2×C4⋊Dic73—41no—
84C2×C4⋊Dic73C2311yescharacteristic
85C2×C4⋊Dic73C2311yescharacteristic
86C2×C4⋊Dic73C2311yescharacteristic
87C2×#11924007—21no—
88C2×#11924007—21no—
89C2×#11924007—21no—
90C2×C22⋊Dic73—21no—
91C2×C22⋊Dic73—21no—
92C2×C22⋊Dic73—21no—
93C2×C22⋊Dic73—21no—
94C2×C22⋊Dic73D411yescharacteristic
95C2×C22⋊Dic73D411yescharacteristic
96C2×C4×Dic73—21no—
97C2×C4×Dic73—21no—
98C2×C4×Dic73—21no—
99C2×C4×Dic73C2311yescharacteristic
100C2×C4×Dic73C2311yescharacteristic
101#14556522—22no—
102#14556522—22no—
103#14556522—22no—
104#14556522C2×C414yescomplemented
105#14556522D414yescomplemented
106#14556516—22no—
107#14556516—41no—
108#14556514C2×C414yescomplemented
109#14556512C2×C414yescomplemented
110C8×Dic73—22no—
111C8×Dic73—22no—
112#14556498—21no—
113#14556498—21no—
114#14556498—21no—
115#14556498—21no—
116#14556498—21no—
117#14556498—21no—
118#14556498D411yescharacteristic
119#14556498D411yescharacteristic
120C22×D4×C73—21no—
121C22×D4×C73C2311yescharacteristic
122C23×C4×C73—21no—
123C23×C4×C73C2311yescharacteristic
124C22×C8×C73C2311yescharacteristic
125C22×C8×C73C2311yescharacteristic
126#121×C73—22no—
127#121×C73C2×C414yes—
128C2×C4⋊C4×C73—22no—
129C2×C4⋊C4×C73—21no—
130C2×C4⋊C4×C73—41no—
131C2×C4⋊C4×C73C2311yescharacteristic
132C2×C4⋊C4×C73C2311yescharacteristic
133C2×C4⋊C4×C73C2311yescharacteristic
134C2×C22⋊C4×C73—21no—
135#102×C73—22no—
136#102×C73—41no—
137C22⋊C8×C73—22no—
138C2×Dic146—21no—
139C2×Dic146—21no—
140C2×Dic146—21no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146C22×C412yes—
144C22×Dic73—21no—
145C22×Dic73—21no—
146C22×Dic73—21no—
147C22×Dic73—21no—
148C22×Dic73—42no—
149C22×Dic73—42no—
150C22×Dic73—42no—
151C22×Dic73—42no—
152C22×Dic73—81no—
153C22×Dic73—81no—
154C22×Dic73C2×D411yescharacteristic
155C22×Dic73C2×D411yescharacteristic
156C22×Dic73C2×D411yescharacteristic
157C22×Dic73C2×D411yescharacteristic
158#11924016—28no—
159C2×#10596831—21no—
160C2×#10596831—21no—
161C2×#10596831—28no—
162C2×#10596831C22×C412yes—
163C2×#10596831C22×C412yes—
164C2×#10596831C2×D412yes—
165C2×#10596831#4112yes—
166C4⋊Dic73—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73—42no—
171C4⋊Dic73—42no—
172C4⋊Dic73C22×C412yes—
173C4⋊Dic73C2×D412yes—
174#11924007—24no—
175#11924007—42no—
176#11924007—81no—
177C22⋊Dic73—24no—
178C22⋊Dic73—22no—
179C22⋊Dic73—42no—
180C22⋊Dic73—42no—
181C22⋊Dic73—81no—
182C22⋊Dic73SD1614yescomplemented
183C4×Dic73—21no—
184C4×Dic73—21no—
185C4×Dic73—21no—
186C4×Dic73—21no—
187C4×Dic73—42no—
188C4×Dic73—42no—
189C4×Dic73—81no—
190C24×C73—21no—
191C24×C73C2×D411yescharacteristic
192C2×D4×C73—24no—
193C2×D4×C73—21no—
194C2×D4×C73—21no—
195C2×D4×C73—21no—
196C2×D4×C73—21no—
197C2×D4×C73—21no—
198C2×D4×C73—42no—
199C2×D4×C73—42no—
200C2×D4×C73C22×C412yes—
201C22×C4×C73—21no—
202C22×C4×C73—21no—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—21no—
208C22×C4×C73—42no—
209C22×C4×C73—42no—
210C22×C4×C73—81no—
211C22×C4×C73C22×C412yes—
212C22×C4×C73C2×D411yescharacteristic
213C22×C4×C73#4112yes—
214C22×C4×C73C2411yescharacteristic
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C2×C8×C73—21no—
221C4⋊C4×C73—21no—
222C4⋊C4×C73—21no—
223C4⋊C4×C73—21no—
224C4⋊C4×C73—21no—
225C4⋊C4×C73—42no—
226C4⋊C4×C73C22×C412yes—
227C4⋊C4×C73C2×D412yes—
228C22⋊C4×C73—24no—
229C23×C73—21no—
230C23×C73—21no—
231C23×C73—21no—
232C23×C73—21no—
233C23×C73—22no—
234C23×C73—41no—
235C23×C73—41no—
236C23×C73—41no—
237C23×C73—41no—
238C23×C73—41no—
239C23×C73—41no—
240C23×C73C4×D412yes—
241C23×C73C2×SD1612yes—
242C23×C73#13512yes—
243C23×C73C22×D411yescharacteristic
244D4×C73—22no—
245D4×C73—22no—
246D4×C73—48no—
247D4×C73—41no—
248D4×C73—41no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—22no—
252C2×C4×C73—22no—
253C2×C4×C73—22no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—41no—
258C2×C4×C73—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—84no—
265C2×C4×C73C4×D412yes—
266C2×C4×C73C23×C411yescharacteristic
267C2×C4×C73C22×D411yescharacteristic
268C2×C4×C73C2×#4111yescharacteristic
269C2×C4×C73C2×#4111yescharacteristic
270C2×C4×C73H(5,𝔽2)11yescharacteristic
271C2×C4×C732−1+411yescharacteristic
272C2×Dic73—21no—
273C2×Dic73—21no—
274C2×Dic73—21no—
275C2×Dic73—21no—
276C2×Dic73—22no—
277C2×Dic73—22no—
278C2×Dic73—21no—
279C2×Dic73—22no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—41no—
286C2×Dic73—41no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—84no—
295C2×Dic73—84no—
296C2×Dic73C2×SD1612yes—
297C2×Dic73C2×SD1612yes—
298Dic146—22no—
299Dic146—22no—
300Dic146—41no—
301Dic146—41no—
302C8×C73—41no—
303C8×C73—41no—
304#10596831—22no—
305#10596831C4×D414yescomplemented
306C22×C73—22no—
307C22×C73—22no—
308C22×C73—22no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—42no—
313C22×C73—42no—
314C22×C73—42no—
315C22×C73—81no—
316C22×C73—81no—
317C22×C73—81no—
318C22×C73—81no—
319C22×C73C4×SD1614yescomplemented
320C22×C73C2×C4×D411yescharacteristic
321C22×C73D4211yescharacteristic
322C22×C73#54711yescharacteristic
323C22×C73C22×SD1611yescharacteristic
324C22×C73C2×#13511yescharacteristic
325C22×C73#57711yescharacteristic
326C22×C73#57711yescharacteristic
327C4×C73—22no—
328C4×C73—42no—
329C4×C73—42no—
330C4×C73—81no—
331C4×C73C2×C4×D411yescharacteristic
332C4×C73#52011yescharacteristic
333C4×C73#54811yescharacteristic
334C4×C73#55311yescharacteristic
335Dic73—22no—
336Dic73—22no—
337Dic73—41no—
338Dic73—42no—
339Dic73—42no—
340Dic73—42no—
341Dic73—41no—
342Dic73—81no—
343#23022—731nomaximal, Sylow
344C2×C73—24no—
345C2×C73—82no—
346C2×C73#236111yescharacteristic
347C2×C73C2×C4×SD1611yescharacteristic
348C2×C73#295211yescharacteristic
349C2×C73D4×SD1611yescharacteristic
350C2×C73#328211yescharacteristic
351C2×C73#333511yescharacteristic
352C2×C73#333711yescharacteristic
353C2×#465—731no—
354C2×C4×SD16—731no—
355C22×#106—731no—
356#2361—731no—
357#2360—731no—
358#1968—731no—
359#1941—731no—
360#1927—731no—
361#1926—731no—
362#1874D7311yescharacteristic
363#1872—731no—
364#1865—731no—
365#1864—731no—
366C4×#106—731no—
367C8×C22⋊C4—731no—
368C73#2302211yescharacteristic, complemented, Sylow
369C22×SD16—731no—
370C23×C8—731no—
371C2×C22⋊Q8—731no—
372C2×#121C2×D7311yescharacteristic
373C2×C4×Q8—731no—
374C2×C4×D4—731no—
375C2×C4×D4—1461no—
376C22×C4⋊C4—731no—
377C22×C4⋊C4C2×D7311yescharacteristic
378#465—738no—
379C4×SD16—1464no—
380C2×#106—731no—
381C2×#106—731no—
382C2×#106—731no—
383C2×#106—731no—
384C2×#106—731no—
385C2×#106—1464no—
386C2×#103—731no—
387C2×#103—731no—
388C2×#103—731no—
389C2×#102—731no—
390C2×#102C2×D7311yescharacteristic
391C2×#102C2×D7311yescharacteristic
392C2×C22⋊C8C2×D7311yescharacteristic
393C2×C4×C8—731no—
394C2×C4×C8—731no—
395#391—731no—
396#390—731no—
397#389—731no—
398#389—731no—
399#389—1461no—
400#388—1461no—
401#387—1461no—
402#386—1461no—
403#385—1461no—
404#385—1461no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C22⋊C4—731no—
408C4×C22⋊C4—1461no—
409#340—731no—
410#340—731no—
411#340C2×D7311yescharacteristic
412#340C2×D7311yescharacteristic
413#336—731no—
414#336—731no—
415C22×Q8—731no—
416C22×D4—21no—
417C22×D4C22×D7311yescharacteristic
418C23×C4—21no—
419C23×C4—1461no—
420C23×C4—1461no—
421C23×C4C22×D7311yescharacteristic
422C2×SD16—734no—
423C2×SD16—1462no—
424C2×SD16—1462no—
425C22×C8—731no—
426C22×C8—734no—
427C22×C8—731no—
428C22×C8—1462no—
429C22×C8—1462no—
430C22×C8C22×D7311yescharacteristic
431C22×C8C22×D7311yescharacteristic
432C22⋊Q8—734no—
433C22⋊Q8—1462no—
434#121—22no—
435#121C4×D7314yes—
436C4×Q8—2921no—
437C4×Q8—1462no—
438C4×D4—2924no—
439C4×D4—2921no—
440C4×D4—1462no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—41no—
444C2×C4⋊C4—2921no—
445C2×C4⋊C4—731no—
446C2×C4⋊C4—731no—
447C2×C4⋊C4—731no—
448C2×C4⋊C4—1461no—
449C2×C4⋊C4—1461no—
450C2×C4⋊C4—1461no—
451C2×C4⋊C4—1462no—
452C2×C4⋊C4—1461no—
453C2×C4⋊C4—1461no—
454C2×C4⋊C4C22×D7311yescharacteristic
455C2×C4⋊C4C22×D7311yescharacteristic
456C2×C4⋊C4C22×D7311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—731no—
459C2×C22⋊C4—731no—
460C2×C22⋊C4—1461no—
461C2×C22⋊C4—1461no—
462C2×C22⋊C4—1461no—
463C2×C22⋊C4—1461no—
464C2×C42—731no—
465C2×C42—731no—
466C2×C42—1461no—
467C2×C42—1461no—
468C2×C42—1461no—
469#106—734no—
470#106—734no—
471#106—1462no—
472#106—1462no—
473#106—1462no—
474#103—2921no—
475#103—734no—
476#103—1462no—
477#102—22no—
478#102—41no—
479#102—734no—
480C22⋊C8—22no—
481C4×C8—1462no—
482C4×C8—1462no—
483#95—731no—
484#95—731no—
485#95—1461no—
486#95—1461no—
487#95—1461no—
488#95—1461no—
489#95—1461no—
490#95—1461no—
491C24—21no—
492C24D4×D7311yescharacteristic
493C2×Q8—732no—
494C2×Q8—1461no—
495C2×Q8—1461no—
496C2×Q8—1461no—
497C2×Q8—1461no—
498C2×Q8—1461no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×C4×D7312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—81no—
518C22×C4—2922no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—2922no—
522C22×C4—5841no—
523C22×C4—5841no—
524C22×C4—731no—
525C22×C4—731no—
526C22×C4—731no—
527C22×C4—731no—
528C22×C4—1461no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4C2×C4×D7312yes—
533C22×C4D4×D7311yescharacteristic
534C22×C4#1192402712yes—
535C22×C4C23×D7311yescharacteristic
536SD16—1468no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—732no—
544C2×C8—732no—
545C2×C8—732no—
546C2×C8—732no—
547C2×C8—1468no—
548C2×C8—1461no—
549C2×C8—1461no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—2922no—
556C4⋊C4—2922no—
557C4⋊C4—2922no—
558C4⋊C4—5841no—
559C4⋊C4—732no—
560C4⋊C4—732no—
561C4⋊C4—1461no—
562C4⋊C4—1461no—
563C4⋊C4—1464no—
564C4⋊C4—1461no—
565C4⋊C4—1461no—
566C4⋊C4C2×C4×D7312yes—
567C4⋊C4D4×D7312yes—
568C22⋊C4—24no—
569C22⋊C4—2922no—
570C22⋊C4—2922no—
571C22⋊C4—5841no—
572C22⋊C4—734no—
573C22⋊C4—1464no—
574C22⋊C4—1462no—
575C42—2922no—
576C42—2922no—
577C42—5841no—
578C42—1461no—
579C42—1461no—
580C42—1461no—
581C42—1461no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23#1455655112yes—
594C23SD16×D7312yes—
595C23#1455661012yes—
596C23C2×D4×D7311yescharacteristic
597Q8—2921no—
598Q8—2921no—
599Q8—1462no—
600Q8—1462no—
601D4—22no—
602D4—22no—
603D4—48no—
604D4—41no—
605D4—41no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—2921no—
623C2×C4—2921no—
624C2×C4—2921no—
625C2×C4—2921no—
626C2×C4—2921no—
627C2×C4—2921no—
628C2×C4—2921no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—5844no—
632C2×C4—5844no—
633C2×C4—732no—
634C2×C4—732no—
635C2×C4—1461no—
636C2×C4—1461no—
637C2×C4—1461no—
638C2×C4—1462no—
639C2×C4—1461no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1461no—
643C2×C4—1461no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4#1455655112yes—
649C2×C4C22×C4×D7311yescharacteristic
650C2×C4C2×D4×D7311yescharacteristic
651C2×C4#41×D7311yescharacteristic
652C2×C4C2×#1192402711yescharacteristic
653C2×C4#1455663611yescharacteristic
654C2×C4#1455663811yescharacteristic
655C8—41no—
656C8—41no—
657C8—734no—
658C8—1462no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22#1798867814yescomplemented
673C22C2×#1455655111yescharacteristic
674C22#1798921911yescharacteristic
675C22#1798923511yescharacteristic
676C22C2×SD16×D7311yescharacteristic
677C22C2×#1455661011yescharacteristic
678C22#1798939611yescharacteristic
679C22#1798939711yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—2921no—
685C4—2922no—
686C4—2922no—
687C4—2921no—
688C4—2922no—
689C4—5841no—
690C4—1462no—
691C4—1462no—
692C4C4×D4×D7311yescharacteristic
693C4#1798906611yescharacteristic
694C4#1798924311yescharacteristic
695C4#1798928011yescharacteristic
696C2—24no—
697C2—82no—
698C2#2261294211yescharacteristic
699C2C2×#1798867811yescharacteristic
700C2#2261881011yescharacteristic
701C2#2262162011yescharacteristic
702C2#2262164211yescharacteristic
703C2#2262228611yescharacteristic
704C2#2262231411yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1874C2
socleC23×C73C22×D4
prime radicalC2×#121×C73C22
cosocleC22×C4×C73C24
hypercenter#1874D73
hypocenterC73#23022
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C2×#17988678C2semidirect
3. C22×#14556522C2semidirect
5. #22612936C2semidirect
6. #22610786C2semidirect
7. #22610658C2semidirect
8. #22610563C2semidirect
9. #22610561C2semidirect
10. #22610236C2semidirect
11. #22610200C2semidirect
12. #22610190C2semidirect
13. #22609819C2semidirect
14. #22609705C2semidirect
23. #17988814C4semidirect
67. C2×#11924016C2×C4semidirect
70. C22×#10596831C2×C4semidirect
74. #14556570C2×C4semidirect
104. #14556522C2×C4semidirect
105. #14556522D4semidirect
108. #14556514C2×C4semidirect
109. #14556512C2×C4semidirect
182. C22⋊Dic73SD16semidirect
305. #10596831C4×D4semidirect
319. C22×C73C4×SD16semidirect
368. C73#23022semidirect
672. C22#17988678semidirect

Maximal subgroups

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

subgroupindex
C2×#179888142
C2×#179886782
C22×#145565222
#226129512
#226129362
#226107862
#226106582
#226105632
#226105612
#226102362
#226102002
#226101902
#226098192
#226097052
C73×#18742
#2302273