Finite Group Databasebeta

← #33956561

Subgroups — #33956561

Order 18688.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989098C212yesmaximal, complemented
2#22620724C214yesmaximal, complemented
3#22620714C214yesmaximal, complemented
4#22620706C211yesmaximal, characteristic, complemented
5#22620698C214yesmaximal, complemented
6#22620689C212yesmaximal, complemented
7#22620682C211yesmaximal, characteristic, complemented
8#22619846C214yesmaximal, complemented
9#22619512C214yesmaximal, complemented
10#22619153C214yesmaximal, complemented
11C22×C22⋊C8×C73C211yesmaximal, characteristic, complemented
12C22×#11924028C2212yescomplemented
13C2×#14556613C2214yescomplemented
14#17989098—22no—
15#17989098—22no—
16#17989098—22no—
17#17989098—22no—
18#17989098C2214yes—
19#17989098C2214yes—
20#17989098C2214yescomplemented
21#17989098C2214yescomplemented
22C2×#14556574—22no—
23C2×#14556570C2212yes—
24C2×#14556570C2212yescomplemented
25C2×#14556565C2212yes—
26C2×#14556565C2212yescomplemented
27C2×#14556560—22no—
28C2×C4×C22⋊D73—22no—
29C2×C4×C22⋊D73—22no—
30C2×#14556550C2212yescomplemented
31#17988929C2218yescomplemented
32#17988923C2214yescomplemented
33#17988918C2214yescomplemented
34#17988912C2218yescomplemented
35#17988906C2214yescomplemented
36#17988901C2214yescomplemented
37#17988828C2214yescomplemented
38#17988828C2214yescomplemented
39#17988823C2214yescomplemented
40#17988823C2214yescomplemented
41#17988816C2218yescomplemented
42#17988816C2218yescomplemented
43#17988751C2218yescomplemented
44#17988745C2214yescomplemented
45#17988740C2214yescomplemented
46#17988734C2218yescomplemented
47#17988728C2214yescomplemented
48#17988723C2214yescomplemented
49#17988625C2214yescomplemented
50#17988584C2218yescomplemented
51C24×C4×C73C2211yescharacteristic
52C23×C8×C73C2212yescomplemented
53C2×C22⋊C8×C73C2211yescharacteristic
54C2×C22⋊C8×C73C2211yescharacteristic
55C2×C22⋊C8×C73C2214yescomplemented
56C2×C22⋊C8×C73C2214yescomplemented
57C2×C22⋊C8×C73C2212yescomplemented
58C2×#11924028—22no—
59C2×#11924028—22no—
60C2×#11924028—48no—
61C2×#11924028C2314yes—
62C2×#11924028C2314yes—
63C22×Dic146C2312yes—
64C22×D292C2312yes—
65C22×C22⋊D73—22no—
66C22×C22⋊D73—22no—
67C22×C22⋊D73—22no—
68C22×C4×D73—22no—
69#14556613—48no—
70C2×Dic292C2314yescomplemented
71C2×#11924017C2318yescomplemented
72C2×D584C2314yescomplemented
73#14556574—24no—
74#14556574—24no—
75#14556574—24no—
76#14556574—24no—
77#14556570—22no—
78#14556570—22no—
79#14556570—22no—
80#14556570—22no—
81#14556570C2314yes—
82#14556570C2314yes—
83#14556570C2314yes—
84#14556570C2314yes—
85#14556565—22no—
86#14556565—22no—
87#14556565—22no—
88#14556565—22no—
89#14556565C2314yes—
90#14556565C2314yes—
91#14556565C2314yes—
92#14556565C2314yes—
93#14556560—24no—
94#14556560—24no—
95#14556560—24no—
96#14556560—24no—
97C4×C22⋊D73—24no—
98C4×C22⋊D73—24no—
99C4×C22⋊D73—24no—
100C4×C22⋊D73—24no—
101C4×C22⋊D73—24no—
102C4×C22⋊D73—24no—
103C4×C22⋊D73—24no—
104C4×C22⋊D73—24no—
105#14556550—22no—
106#14556550—22no—
107#14556550C2314yes—
108#14556550C2314yes—
109C2×C4⋊Dic73C2312yes—
110C2×C4⋊Dic73C2312yes—
111C2×#11924007—22no—
112C2×#11924007—22no—
113C2×C22⋊Dic73—22no—
114C2×C22⋊Dic73—22no—
115C2×C22⋊Dic73—22no—
116C2×#11924005—22no—
117C2×#11924005—22no—
118C2×C4×Dic73—22no—
119#14556525C2314yescomplemented
120#14556525C2314yescomplemented
121#14556523C2318yescomplemented
122#14556516C2318yescomplemented
123#14556516C2318yescomplemented
124#14556513C2318yescomplemented
125#14556513C2318yescomplemented
126C25×C73D411yescharacteristic
127C23×C4×C73—44no—
128C23×C4×C73D411yescharacteristic
129C23×C4×C73D412yes—
130C23×C4×C73D412yes—
131C23×C4×C73D411yescharacteristic
132C23×C4×C73D411yescharacteristic
133C23×C4×C73C2312yes—
134C23×C4×C73C2311yescharacteristic
135C23×C4×C73C2311yescharacteristic
136C23×C4×C73C2312yes—
137C23×C4×C73C2311yescharacteristic
138C22×C8×C73—44no—
139C22×C8×C73C2314yes—
140C22×C8×C73C2312yes—
141C22×C8×C73C2312yes—
142C22×C8×C73C2314yes—
143C22⋊C8×C73C2314yes—
144C22⋊C8×C73C2314yes—
145C22⋊C8×C73C2318yes—
146C23×D73—22no—
147#11924028—216no—
148#11924028—48no—
149#11924028—48no—
150#11924028—48no—
151C2×Dic146—22no—
152C2×Dic146—44no—
153C2×Dic146C2414yes—
154C2×D292—22no—
155C2×D292—44no—
156C2×D292C2414yes—
157C2×C22⋊D73—24no—
158C2×C22⋊D73—24no—
159C2×C22⋊D73—24no—
160C2×C22⋊D73—24no—
161C2×C22⋊D73—24no—
162C2×C22⋊D73—24no—
163C2×C22⋊D73—48no—
164C2×C22⋊D73—48no—
165C2×C22⋊D73—48no—
166C22×Dic73—22no—
167C22×Dic73—22no—
168C22×Dic73—22no—
169C2×C4×D73—24no—
170C2×C4×D73—24no—
171C2×C4×D73—48no—
172Dic292—44no—
173#11924017—48no—
174D584—44no—
175C4⋊Dic73—22no—
176C4⋊Dic73—22no—
177C4⋊Dic73C2414yes—
178C4⋊Dic73C2414yes—
179#11924007—24no—
180#11924007—24no—
181#11924007—24no—
182#11924007—24no—
183C22⋊Dic73—24no—
184C22⋊Dic73—24no—
185C22⋊Dic73—24no—
186C22⋊Dic73—24no—
187C22⋊Dic73—24no—
188C22⋊Dic73—24no—
189#11924005—24no—
190#11924005—24no—
191#11924005—24no—
192#11924005—24no—
193C4×Dic73—24no—
194C4×Dic73—24no—
195C24×C73—24no—
196C24×C73—42no—
197C24×C73—42no—
198C24×C73C2×D411yescharacteristic
199C24×C73C2×D412yes—
200C24×C73C2×D412yes—
201C24×C73C2×D411yescharacteristic
202C24×C73C2×D411yescharacteristic
203C22×C4×C73—24no—
204C22×C4×C73—28no—
205C22×C4×C73—42no—
206C22×C4×C73—44no—
207C22×C4×C73—42no—
208C22×C4×C73—42no—
209C22×C4×C73—44no—
210C22×C4×C73—42no—
211C22×C4×C73—44no—
212C22×C4×C73—42no—
213C22×C4×C73C2×D412yes—
214C22×C4×C73C2×D412yes—
215C22×C4×C73C2×D412yes—
216C22×C4×C73C2×D411yescharacteristic
217C22×C4×C73C2×D411yescharacteristic
218C22×C4×C73C2×D411yescharacteristic
219C22×C4×C73C2×D412yes—
220C22×C4×C73C2×D412yes—
221C22×C4×C73C2×D411yescharacteristic
222C22×C4×C73C2×D412yes—
223C22×C4×C73C2×D412yes—
224C22×C4×C73C2×D411yescharacteristic
225C22×C4×C73C2×D412yes—
226C22×C4×C73C2412yes—
227C22×C4×C73C2412yes—
228C22×C4×C73C2411yescharacteristic
229C22×C4×C73C2411yescharacteristic
230C22×C4×C73C2411yescharacteristic
231C2×C8×C73—28no—
232C2×C8×C73—42no—
233C2×C8×C73—44no—
234C2×C8×C73—42no—
235C2×C8×C73C2414yes—
236C2×C8×C73C2414yes—
237C23×C73—22no—
238C23×C73—22no—
239C23×C73—22no—
240C23×C73—24no—
241C23×C73—24no—
242C23×C73—24no—
243C23×C73—22no—
244C23×C73—24no—
245C23×C73—41no—
246C23×C73—42no—
247C23×C73—41no—
248C23×C73—41no—
249C23×C73—42no—
250C23×C73—41no—
251C23×C73—416no—
252C23×C73#13514yescomplemented
253C23×C73C22×D412yes—
254C23×C73C22×D411yescharacteristic
255C23×C73C22×D411yescharacteristic
256C23×C73C22×D412yes—
257C23×C73C22×D411yescharacteristic
258C22×D73—24no—
259C22×D73—44no—
260C22×D73—44no—
261C22×D73—44no—
262C2×C4×C73—22no—
263C2×C4×C73—24no—
264C2×C4×C73—22no—
265C2×C4×C73—22no—
266C2×C4×C73—24no—
267C2×C4×C73—24no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—24no—
271C2×C4×C73—24no—
272C2×C4×C73—41no—
273C2×C4×C73—42no—
274C2×C4×C73—42no—
275C2×C4×C73—42no—
276C2×C4×C73—41no—
277C2×C4×C73—42no—
278C2×C4×C73—42no—
279C2×C4×C73C22×D412yes—
280C2×C4×C73C22×D411yescharacteristic
281C2×C4×C73C22×D411yescharacteristic
282C2×C4×C73C22×D412yes—
283C2×C4×C73C22×D411yescharacteristic
284C2×C4×C73H(5,𝔽2)14yes—
285C2×C4×C73C2511yescharacteristic
286C22⋊D73—48no—
287C22⋊D73—48no—
288C22⋊D73—48no—
289C22⋊D73—48no—
290C22⋊D73—48no—
291C22⋊D73—48no—
292C2×Dic73—24no—
293C2×Dic73—24no—
294C2×Dic73—24no—
295C2×Dic73—44no—
296C2×Dic73—44no—
297C2×Dic73—44no—
298D292—28no—
299D292—44no—
300C4×D73—48no—
301C4×D73—48no—
302Dic146—28no—
303Dic146—44no—
304C8×C73—24no—
305C8×C73—24no—
306C22×C73—28no—
307C22×C73—22no—
308C22×C73—21no—
309C22×C73—21no—
310C22×C73—21no—
311C22×C73—21no—
312C22×C73—22no—
313C22×C73—21no—
314C22×C73—21no—
315C22×C73—22no—
316C22×C73—22no—
317C22×C73—22no—
318C22×C73—44no—
319C22×C73—48no—
320C22×C73—48no—
321C22×C73—44no—
322C22×C73#53412yes—
323C22×C73C2×#13514yes—
324C22×C73C2×#13512yes—
325C22×C73#57512yes—
326C22×C73C23×D411yescharacteristic
327C2×D73—44no—
328C2×D73—44no—
329C2×D73—44no—
330C2×D73—88no—
331C4×C73—22no—
332C4×C73—22no—
333C4×C73—21no—
334C4×C73—21no—
335C4×C73#53412yes—
336C4×C73C2×H(5,𝔽2)12yes—
337Dic73—44no—
338Dic73—44no—
339Dic73—44no—
340#60734—731nomaximal, Sylow
341C2×C73—24no—
342C2×C73—22no—
343C2×C73—22no—
344C2×C73—22no—
345C2×C73—42no—
346C2×C73C2×#53411yescharacteristic
347C2×C73C22×#13511yescharacteristic
348C2×C73C2×#57511yescharacteristic
349D73—84no—
350C2×#525—732no—
351#3191—734no—
352#3190—734no—
353#3189—731no—
354#3188—734no—
355#3187—732no—
356#3186—731no—
357#3091—734no—
358#3050—734no—
359#3002—734no—
360C22×C22⋊C8D7311yescharacteristic, complemented
361C73#6073411yescharacteristic, complemented, Sylow
362C22×#41—732no—
363C24×C4C2×D7311yescharacteristic
364C2×#135—734no—
365C23×C8C2×D7312yescomplemented
366#525—734no—
367#525—734no—
368#525—734no—
369#525—734no—
370#525—1462no—
371#525—1462no—
372#525—1462no—
373#525—1462no—
374C2×#123—1462no—
375C2×C22⋊Q8—732no—
376C2×C22⋊Q8—732no—
377C2×#121—732no—
378C2×#121—732no—
379C2×#120—1462no—
380C2×C4×D4—1462no—
381C2×C4×D4—1462no—
382C2×#117—732no—
383#485—738no—
384#484—734no—
385#483—734no—
386#482—738no—
387#481—734no—
388#480—734no—
389#467—734no—
390#467—734no—
391#466—734no—
392#466—734no—
393#465—738no—
394#465—738no—
395#452—738no—
396#451—734no—
397#450—734no—
398#449—738no—
399#448—734no—
400#447—734no—
401#427—734no—
402#416—738no—
403C2×C22⋊C8C2×D7311yescharacteristic
404C2×C22⋊C8C2×D7311yescharacteristic
405C2×C22⋊C8C2×D7314yescomplemented
406C2×C22⋊C8C2×D7314yescomplemented
407C2×C22⋊C8C2×D7312yescomplemented
408C25D29211yescharacteristic
409C2×#41—2928no—
410C2×#41—734no—
411C2×#41—734no—
412C2×#41—1462no—
413C2×#41—1462no—
414C22×Q8—732no—
415C22×D4—732no—
416C22×D4—1462no—
417C22×D4—1462no—
418C22×D4—1462no—
419C23×C4—44no—
420C23×C4—1462no—
421C23×C4D29211yescharacteristic
422C23×C4D29212yes—
423C23×C4D29212yes—
424C23×C4D29211yescharacteristic
425C23×C4D29211yescharacteristic
426C23×C4C22×D7312yes—
427C23×C4C22×D7311yescharacteristic
428C23×C4C22×D7311yescharacteristic
429C23×C4C22×D7312yes—
430C23×C4C22×D7311yescharacteristic
431#135—2928no—
432C2×Q16—734no—
433C2×SD16—738no—
434C2×D8—734no—
435C22×C8—44no—
436C22×C8C22×D7314yes—
437C22×C8C22×D7312yes—
438C22×C8C22×D7312yes—
439C22×C8C22×D7314yes—
440#123—1464no—
441#123—1464no—
442#123—1464no—
443#123—1464no—
444C22⋊Q8—734no—
445C22⋊Q8—734no—
446C22⋊Q8—734no—
447C22⋊Q8—734no—
448C22⋊Q8—1462no—
449C22⋊Q8—1462no—
450C22⋊Q8—1462no—
451C22⋊Q8—1462no—
452#121—734no—
453#121—734no—
454#121—734no—
455#121—734no—
456#121—1462no—
457#121—1462no—
458#121—1462no—
459#121—1462no—
460#120—1464no—
461#120—1464no—
462#120—1464no—
463#120—1464no—
464C4×D4—1464no—
465C4×D4—1464no—
466C4×D4—1464no—
467C4×D4—1464no—
468C4×D4—1464no—
469C4×D4—1464no—
470C4×D4—1464no—
471C4×D4—1464no—
472#117—734no—
473#117—734no—
474#117—1462no—
475#117—1462no—
476C2×C4⋊C4—732no—
477C2×C4⋊C4—732no—
478C2×C4⋊C4—1462no—
479C2×C4⋊C4—1462no—
480C2×C22⋊C4—1462no—
481C2×C22⋊C4—1462no—
482C2×C22⋊C4—1462no—
483C2×C22⋊C4—1462no—
484C2×C22⋊C4—1462no—
485C2×C42—1462no—
486#107—734no—
487#107—734no—
488#106—738no—
489#103—738no—
490#103—738no—
491#102—738no—
492#102—738no—
493C22⋊C8C22×D7314yes—
494C22⋊C8C22×D7314yes—
495C22⋊C8C22×D7318yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—1462no—
500C24C2×D29211yescharacteristic
501C24C2×D29212yes—
502C24C2×D29212yes—
503C24C2×D29211yescharacteristic
504C24C2×D29211yescharacteristic
505#41—2928no—
506#41—2928no—
507#41—2928no—
508#41—14616no—
509C2×Q8—2924no—
510C2×Q8—734no—
511C2×Q8—1462no—
512C2×D4—2924no—
513C2×D4—2928no—
514C2×D4—2928no—
515C2×D4—2928no—
516C2×D4—734no—
517C2×D4—1464no—
518C2×D4—1464no—
519C2×D4—1464no—
520C2×D4—1464no—
521C2×D4—1464no—
522C2×D4—1464no—
523C2×D4—1462no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—44no—
534C22×C4—2928no—
535C22×C4—1462no—
536C22×C4—1462no—
537C22×C4—1462no—
538C22×C4—1464no—
539C22×C4—1464no—
540C22×C4C2×D29212yes—
541C22×C4C2×D29211yescharacteristic
542C22×C4C2×D29212yes—
543C22×C4C2×D29212yes—
544C22×C4C2×D29211yescharacteristic
545C22×C4C2×D29211yescharacteristic
546C22×C4C2×D29212yes—
547C22×C4C2×D29212yes—
548C22×C4C2×D29211yescharacteristic
549C22×C4C2×D29212yes—
550C22×C4C2×D29212yes—
551C22×C4C2×D29211yescharacteristic
552C22×C4C2×D29212yes—
553C22×C4C23×D7312yes—
554C22×C4C23×D7312yes—
555C22×C4C23×D7311yescharacteristic
556C22×C4C23×D7311yescharacteristic
557C22×C4C23×D7311yescharacteristic
558Q16—2924no—
559SD16—2928no—
560D8—2924no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D7314yes—
566C2×C8C23×D7314yes—
567C4⋊C4—734no—
568C4⋊C4—734no—
569C4⋊C4—1464no—
570C4⋊C4—1464no—
571C4⋊C4—1464no—
572C4⋊C4—1464no—
573C4⋊C4—1462no—
574C4⋊C4—1462no—
575C22⋊C4—1464no—
576C22⋊C4—1464no—
577C22⋊C4—1464no—
578C22⋊C4—1464no—
579C22⋊C4—1464no—
580C22⋊C4—1464no—
581C22⋊C4—1464no—
582C22⋊C4—1464no—
583C22⋊C4—1464no—
584C22⋊C4—1464no—
585C42—1464no—
586C42—1464no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—2924no—
603C23—2924no—
604C23—2924no—
605C23—1464no—
606C23#1455661314yescomplemented
607C23C22×D29212yes—
608C23C22×D29211yescharacteristic
609C23C22×D29211yescharacteristic
610C23C22×D29211yescharacteristic
611C23C22×D29212yes—
612Q8—2924no—
613Q8—1468no—
614D4—2924no—
615D4—2928no—
616D4—2928no—
617D4—2928no—
618D4—2928no—
619D4—2928no—
620D4—2928no—
621D4—1468no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—2928no—
640C2×C4—2924no—
641C2×C4—2924no—
642C2×C4—2924no—
643C2×C4—2928no—
644C2×C4—1464no—
645C2×C4—1464no—
646C2×C4—1464no—
647C2×C4C22×D29212yes—
648C2×C4C22×D29211yescharacteristic
649C2×C4C22×D29211yescharacteristic
650C2×C4C22×D29212yes—
651C2×C4C22×D29211yescharacteristic
652C2×C4#1455663614yes—
653C2×C4C24×D7311yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—22no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—2924no—
673C22—2924no—
674C22—2924no—
675C22—5848no—
676C22#1798914912yes—
677C22C2×#1455661314yes—
678C22C2×#1455661312yes—
679C22#1798938712yes—
680C22C23×D29211yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—2924no—
686C4—2924no—
687C4—2924no—
688C4#1798914912yes—
689C4C2×#1455663612yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—5844no—
696C2C2×#1798914911yescharacteristic
697C2C22×#1455661311yescharacteristic
698C2C2×#1798938711yescharacteristic
subgroupG/H
centerC2×C4C22×D292
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC22×C22⋊C8×C73C2
socleC22×C73C23×D4
hypercenterC22×C22⋊C8D73
hypocenterC73#60734
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#17989098C2semidirect
2. #22620724C2semidirect
3. #22620714C2semidirect
4. #22620706C2semidirect
5. #22620698C2semidirect
6. #22620689C2semidirect
7. #22620682C2semidirect
8. #22619846C2semidirect
9. #22619512C2semidirect
10. #22619153C2semidirect
11. C22×C22⋊C8×C73C2semidirect
12. C22×#11924028C22semidirect
13. C2×#14556613C22semidirect
20. #17989098C22semidirect
21. #17989098C22semidirect
24. C2×#14556570C22semidirect
26. C2×#14556565C22semidirect
30. C2×#14556550C22semidirect
31. #17988929C22semidirect
32. #17988923C22semidirect
33. #17988918C22semidirect
34. #17988912C22semidirect
35. #17988906C22semidirect
36. #17988901C22semidirect
37. #17988828C22semidirect
38. #17988828C22semidirect
39. #17988823C22semidirect
40. #17988823C22semidirect
41. #17988816C22semidirect
42. #17988816C22semidirect
43. #17988751C22semidirect
44. #17988745C22semidirect
45. #17988740C22semidirect
46. #17988734C22semidirect
47. #17988728C22semidirect
48. #17988723C22semidirect
49. #17988625C22semidirect
50. #17988584C22semidirect
52. C23×C8×C73C22semidirect
55. C2×C22⋊C8×C73C22semidirect
56. C2×C22⋊C8×C73C22semidirect
57. C2×C22⋊C8×C73C22semidirect
70. C2×Dic292C23semidirect
71. C2×#11924017C23semidirect
72. C2×D584C23semidirect
119. #14556525C23semidirect
120. #14556525C23semidirect
121. #14556523C23semidirect
122. #14556516C23semidirect
123. #14556516C23semidirect
124. #14556513C23semidirect
125. #14556513C23semidirect
252. C23×C73#135semidirect
360. C22×C22⋊C8D73semidirect
361. C73#60734semidirect
365. C23×C8C2×D73semidirect
405. C2×C22⋊C8C2×D73semidirect
406. C2×C22⋊C8C2×D73semidirect
407. C2×C22⋊C8C2×D73semidirect
606. C23#14556613semidirect

Maximal subgroups

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

subgroupindex
C2×#179890982
#226207242
#226207142
#226207062
#226206982
#226206892
#226206822
#226198462
#226195122
#226191532
C22×C22⋊C8×C732
#6073473