Finite Group Databasebeta

← #33970822

Subgroups — #33970822

Order 18688.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623734C211yesmaximal, characteristic, complemented
2#22622012C218yesmaximal, complemented
3#22621437C218yesmaximal, complemented
4#22620934C212yesmaximal, complemented
5#22620737C212yesmaximal, complemented
6#22620703C212yesmaximal, complemented
7#22620030C212yesmaximal, complemented
8#22619191C212yesmaximal, complemented
9C2×#17988738C212yesmaximal, complemented
10#22618960C211yesmaximal, characteristic, complemented
11C2×#546×C73C211yesmaximal, characteristic
12C2×#14556621C2214yescomplemented
13C22×#11924016C2214yescomplemented
14#17989296—24no—
15#17989294C2214yescomplemented
16D4×Dic146C2214yescomplemented
17#17989218—21no—
18#17989213—21no—
19#17989213—21no—
20#17989144C2212yescomplemented
21C2×#14556570C2212yes—
22C2×#14556570C2212yescomplemented
23#17989062—21no—
24#17988982C2214yescomplemented
25#17988946C2214yescomplemented
26#17988922C2214yescomplemented
27#17988920C2214yescomplemented
28#17988898C2214yescomplemented
29#17988867C2214yescomplemented
30#17988831C2218yescomplemented
31#17988826C2218yescomplemented
32#17988806C2218yescomplemented
33#17988792C2214yescomplemented
34#17988749C2218yescomplemented
35#17988743C2214yescomplemented
36#17988742C2214yescomplemented
37#17988738C2214yes—
38#17988738C2214yes—
39#17988738C2218yescomplemented
40#17988725C2214yescomplemented
41#17988687C2218yescomplemented
42#17988659C2218yescomplemented
43#17988644C2212yescomplemented
44#17988588C2214yescomplemented
45C2×#14556512C2214yescomplemented
46#17988551C2212yescomplemented
47C2×C22⋊#10596831C2212yes—
48C22×#41×C73C2211yescharacteristic
49C23×D4×C73C2211yescharacteristic
50#546×C73—24no—
51#546×C73C2218yes—
52C2×#124×C73C2211yescharacteristic
53C2×#123×C73—21no—
54C2×C22⋊Q8×C73C2211yescharacteristic
55C2×#121×C73—21no—
56C2×#121×C73C2211yescharacteristic
57C2×#120×C73—21no—
58C2×C4×D4×C73C2211yescharacteristic
59C2×C4×D4×C73C2211yescharacteristic
60C22×C22⋊C4×C73—21no—
61C22×Dic146C2312yes—
62C22×Dic146C2312yescomplemented
63#14556621—48no—
64C2×#11924018C2318yescomplemented
65C2×#11924016—48no—
66C2×#11924016C2318yes—
67C2×#11924016C2318yes—
68C2×#11924012C2314yescomplemented
69C22×#10596831C2314yes—
70#14556591C2312yescomplemented
71#14556591C2312yescomplemented
72#14556590—24no—
73#14556583—22no—
74#14556582—24no—
75#14556570—22no—
76#14556570—22no—
77#14556570—22no—
78#14556570—22no—
79#14556570—22no—
80#14556570C2314yes—
81#14556570C2314yes—
82#14556570C2314yescomplemented
83#14556568—24no—
84#14556568—24no—
85#14556568—24no—
86#14556568—24no—
87C4×Dic146—22no—
88C4×Dic146C2314yescomplemented
89D4×Dic73—24no—
90D4×Dic73—24no—
91#14556550—22no—
92C2×C4⋊Dic73C2312yes—
93C2×C4⋊Dic73C2312yescomplemented
94C2×#11924007—22no—
95C2×#11924007—22no—
96C2×C22⋊Dic73—22no—
97C2×C22⋊Dic73—22no—
98#14556524C2318yescomplemented
99C4⋊#10596831C2314yescomplemented
100#14556515C2318yescomplemented
101#14556514C2318yescomplemented
102#14556512C2318yes—
103#14556512C2318yes—
104C22⋊#10596831C2314yes—
105C22⋊#10596831C2314yes—
106C22⋊#10596831C2314yescomplemented
107#14556502C2314yescomplemented
108C25×C73—21no—
109C2×#41×C73—22no—
110C2×#41×C73—44no—
111C2×#41×C73C2314yes—
112C22×Q8×C73C2311yescharacteristic
113C22×D4×C73—21no—
114C22×D4×C73—21no—
115C22×D4×C73—21no—
116C22×D4×C73—22no—
117C22×D4×C73—44no—
118C22×D4×C73D411yescharacteristic
119C22×D4×C73C2311yescharacteristic
120C22×D4×C73C2314yes—
121C22×D4×C73C2311yescharacteristic
122C23×C4×C73—21no—
123C23×C4×C73—21no—
124C23×C4×C73C2311yescharacteristic
125C23×C4×C73C2311yescharacteristic
126#124×C73—22no—
127#124×C73C2314yes—
128#123×C73—28no—
129C22⋊Q8×C73—22no—
130C22⋊Q8×C73C2314yes—
131#121×C73—22no—
132#121×C73—28no—
133#121×C73C2314yes—
134#120×C73—28no—
135C4×D4×C73—22no—
136C4×D4×C73D414yes—
137C4×D4×C73C2314yes—
138C4×D4×C73C2314yes—
139C2×C4⋊C4×C73—21no—
140C2×C4⋊C4×C73D411yescharacteristic
141C2×C4⋊C4×C73C2311yescharacteristic
142C2×C22⋊C4×C73—21no—
143C2×C22⋊C4×C73—21no—
144C2×C22⋊C4×C73—21no—
145C2×C22⋊C4×C73—21no—
146C2×C22⋊C4×C73—21no—
147C2×C22⋊C4×C73—28no—
148C2×C22⋊C4×C73D411yescharacteristic
149C2×C22⋊C4×C73D411yescharacteristic
150C2×C42×C73C2311yescharacteristic
151C2×Dic146—22no—
152C2×Dic146—22no—
153C2×Dic146—22no—
154C2×Dic146—44no—
155C2×Dic146—44no—
156C2×Dic146C2414yes—
157C22×Dic73—22no—
158C22×Dic73—22no—
159C22×Dic73—22no—
160C22×Dic73—22no—
161#11924018—48no—
162#11924016—216no—
163#11924016—48no—
164#11924012—44no—
165C2×#10596831—44no—
166C2×#10596831C2418yes—
167C4⋊Dic73—22no—
168C4⋊Dic73—22no—
169C4⋊Dic73—22no—
170C4⋊Dic73—22no—
171C4⋊Dic73—22no—
172C4⋊Dic73C2414yes—
173#11924007—24no—
174#11924007—24no—
175#11924007—24no—
176#11924007—24no—
177C22⋊Dic73—24no—
178C22⋊Dic73—24no—
179C22⋊Dic73—24no—
180C4×Dic73—24no—
181C24×C73—21no—
182C24×C73—21no—
183C24×C73—24no—
184C24×C73—44no—
185C24×C73—44no—
186C24×C73—82no—
187C24×C73C2×D411yescharacteristic
188C24×C73C2×D411yescharacteristic
189#41×C73—28no—
190#41×C73—44no—
191#41×C73—48no—
192C2×Q8×C73—21no—
193C2×Q8×C73—42no—
194C2×Q8×C73C2412yes—
195C2×D4×C73—24no—
196C2×D4×C73—24no—
197C2×D4×C73—28no—
198C2×D4×C73—24no—
199C2×D4×C73—24no—
200C2×D4×C73—21no—
201C2×D4×C73—24no—
202C2×D4×C73—21no—
203C2×D4×C73—42no—
204C2×D4×C73—44no—
205C2×D4×C73—48no—
206C2×D4×C73—44no—
207C2×D4×C73—44no—
208C2×D4×C73—82no—
209C2×D4×C73C2×D414yes—
210C2×D4×C73C2412yes—
211C2×D4×C73C2412yes—
212C22×C4×C73—21no—
213C22×C4×C73—21no—
214C22×C4×C73—24no—
215C22×C4×C73—24no—
216C22×C4×C73—42no—
217C22×C4×C73—42no—
218C22×C4×C73—44no—
219C22×C4×C73—82no—
220C22×C4×C73C2×D411yescharacteristic
221C22×C4×C73C2×D411yescharacteristic
222C22×C4×C73C2×D411yescharacteristic
223C22×C4×C73C2×D411yescharacteristic
224C22×C4×C73C2×D412yes—
225C22×C4×C73C2×D412yes—
226C22×C4×C73C2411yescharacteristic
227C22×C4×C73C2412yes—
228C22×C4×C73C2412yes—
229C4⋊C4×C73—24no—
230C4⋊C4×C73—21no—
231C4⋊C4×C73C2×D414yes—
232C4⋊C4×C73C2412yes—
233C22⋊C4×C73—24no—
234C22⋊C4×C73—24no—
235C22⋊C4×C73—24no—
236C22⋊C4×C73—24no—
237C22⋊C4×C73—24no—
238C22⋊C4×C73C2×D414yes—
239C22⋊C4×C73C2×D414yes—
240C42×C73C2×D412yes—
241C42×C73C2412yes—
242C23×C73—24no—
243C23×C73—22no—
244C23×C73—22no—
245C23×C73—22no—
246C23×C73—41no—
247C23×C73—41no—
248C23×C73—41no—
249C23×C73—41no—
250C23×C73—48no—
251C23×C73—42no—
252C23×C73—42no—
253C23×C73—42no—
254C23×C73—42no—
255C23×C73—48no—
256C23×C73—42no—
257C23×C73—84no—
258C23×C73—816no—
259C23×C73#13714yescomplemented
260C23×C73C22×D412yes—
261C23×C73C22×D412yes—
262C23×C73C22×D411yescharacteristic
263Q8×C73—24no—
264Q8×C73—42no—
265D4×C73—24no—
266D4×C73—28no—
267D4×C73—22no—
268D4×C73—24no—
269D4×C73—48no—
270D4×C73—42no—
271D4×C73—48no—
272D4×C73—84no—
273D4×C73H(5,𝔽2)14yes—
274C2×C4×C73—22no—
275C2×C4×C73—22no—
276C2×C4×C73—24no—
277C2×C4×C73—24no—
278C2×C4×C73—22no—
279C2×C4×C73—22no—
280C2×C4×C73—41no—
281C2×C4×C73—41no—
282C2×C4×C73—42no—
283C2×C4×C73—42no—
284C2×C4×C73—41no—
285C2×C4×C73—48no—
286C2×C4×C73—42no—
287C2×C4×C73—42no—
288C2×C4×C73—84no—
289C2×C4×C73C22×D411yescharacteristic
290C2×C4×C73C22×D412yes—
291C2×C4×C73C22×D412yes—
292C2×C4×C73C22×D412yes—
293C2×C4×C73C22×D412yes—
294C2×C4×C73C2511yescharacteristic
295C2×Dic73—24no—
296C2×Dic73—24no—
297C2×Dic73—82no—
298C2×Dic73—82no—
299C2×Dic73—82no—
300C2×Dic73—82no—
301Dic146—28no—
302Dic146—82no—
303Dic146—82no—
304Dic146—82no—
305#10596831—28no—
306C22×C73—22no—
307C22×C73—21no—
308C22×C73—22no—
309C22×C73—21no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—24no—
313C22×C73—22no—
314C22×C73—44no—
315C22×C73—48no—
316C22×C73—42no—
317C22×C73—42no—
318C22×C73—42no—
319C22×C73—42no—
320C22×C73—42no—
321C22×C73—82no—
322C22×C73—816no—
323C22×C73—84no—
324C22×C73C2×#13712yes—
325C22×C73C2×#13714yes—
326C22×C73C23×D411yescharacteristic
327C4×C73—22no—
328C4×C73—22no—
329C4×C73—22no—
330C4×C73—21no—
331C4×C73—22no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73C2×H(5,𝔽2)12yes—
335Dic73—44no—
336Dic73—44no—
337#61570—731nomaximal, Sylow
338C2×C73—22no—
339C2×C73—24no—
340C2×C73—42no—
341C2×C73—44no—
342C2×C73—82no—
343C2×C73#348411yescharacteristic
344C2×C73C22×#13711yescharacteristic
345C2×C73#358511yescharacteristic
346#3501—731no—
347C2×#546D7311yescharacteristic
348#3314—738no—
349#3266—738no—
350#3215—732no—
351#3193—732no—
352#3189—732no—
353#3110—732no—
354#3007—732no—
355C2×#450—732no—
356#2973—731no—
357C73#6157011yescharacteristic, complemented, Sylow
358C22×#41C2×D7311yescharacteristic
359C23×D4C2×D7311yescharacteristic
360C2×#137—734no—
361C22×SD16—734no—
362#554—734no—
363#554—1464no—
364D4×Q8—734no—
365#546—24no—
366#546C2×D7318yes—
367#544—1461no—
368#543—1461no—
369#543—1461no—
370#533—732no—
371C2×#124C2×D7311yescharacteristic
372C2×#123—21no—
373C2×C22⋊Q8—732no—
374C2×C22⋊Q8—732no—
375C2×C22⋊Q8C2×D7311yescharacteristic
376C2×#121—21no—
377C2×#121C2×D7311yescharacteristic
378C2×#120—21no—
379#518—1461no—
380C2×C4×D4C2×D7311yescharacteristic
381C2×C4×D4C2×D7311yescharacteristic
382C22×C22⋊C4—21no—
383#497—734no—
384#489—734no—
385#484—734no—
386#484—734no—
387#480—734no—
388#474—734no—
389#468—738no—
390#467—738no—
391#464—738no—
392#461—734no—
393#452—738no—
394#451—734no—
395#451—734no—
396#450—734no—
397#450—734no—
398#450—738no—
399#448—734no—
400#440—738no—
401#435—738no—
402#432—732no—
403#417—734no—
404C2×#102—734no—
405#407—732no—
406C2×C22⋊C8—732no—
407C25—21no—
408C2×#41—22no—
409C2×#41—44no—
410C2×#41C22×D7314yes—
411C22×Q8—732no—
412C22×Q8—732no—
413C22×Q8C22×D7311yescharacteristic
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—22no—
418C22×D4—44no—
419C22×D4C22⋊D7311yescharacteristic
420C22×D4C22×D7311yescharacteristic
421C22×D4C22×D7314yes—
422C22×D4C22×D7311yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4C22×D7311yescharacteristic
426C23×C4C22×D7311yescharacteristic
427#137—2928no—
428C2×Q16—738no—
429C2×SD16—2928no—
430C2×SD16—738no—
431C2×SD16—738no—
432C2×M16—734no—
433C22×C8—734no—
434C4⋊Q8—732no—
435C4⋊Q8—732no—
436C4⋊Q8—1464no—
437#125—1464no—
438#125—1462no—
439#124—22no—
440#124C22×D7314yes—
441#123—28no—
442C22⋊Q8—22no—
443C22⋊Q8—734no—
444C22⋊Q8—734no—
445C22⋊Q8—734no—
446C22⋊Q8—1462no—
447C22⋊Q8—1462no—
448C22⋊Q8—1462no—
449C22⋊Q8—1462no—
450C22⋊Q8—1462no—
451C22⋊Q8—1464no—
452C22⋊Q8—1464no—
453C22⋊Q8—1464no—
454C22⋊Q8—1464no—
455C22⋊Q8C22×D7314yes—
456#121—22no—
457#121—28no—
458#121C22×D7314yes—
459#120—28no—
460C4×Q8—734no—
461C4×Q8—1462no—
462C4×D4—22no—
463C4×D4—1464no—
464C4×D4—1464no—
465C4×D4C22⋊D7314yes—
466C4×D4C22×D7314yes—
467C4×D4C22×D7314yes—
468#117—1462no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—732no—
471C2×C4⋊C4—732no—
472C2×C4⋊C4—1462no—
473C2×C4⋊C4—1462no—
474C2×C4⋊C4C22⋊D7311yescharacteristic
475C2×C4⋊C4C22×D7311yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—28no—
482C2×C22⋊C4—1462no—
483C2×C22⋊C4—1462no—
484C2×C22⋊C4C22⋊D7311yescharacteristic
485C2×C22⋊C4C22⋊D7311yescharacteristic
486C2×C42C22×D7311yescharacteristic
487#107—738no—
488C4⋊C8—734no—
489#103—738no—
490#103—738no—
491#102—738no—
492#102—738no—
493C22⋊C8—734no—
494C22⋊C8—734no—
495C22⋊C8—734no—
496#97—734no—
497C24—21no—
498C24—21no—
499C24—24no—
500C24—44no—
501C24—44no—
502C24—82no—
503C24C2×C22⋊D7311yescharacteristic
504C24C2×C22⋊D7311yescharacteristic
505#41—28no—
506#41—44no—
507#41—48no—
508C2×Q8—21no—
509C2×Q8—42no—
510C2×Q8—2924no—
511C2×Q8—2924no—
512C2×Q8—734no—
513C2×Q8—1462no—
514C2×Q8—1462no—
515C2×Q8—1462no—
516C2×Q8C23×D7312yes—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—28no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—21no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—48no—
528C2×D4—44no—
529C2×D4—44no—
530C2×D4—82no—
531C2×D4C2×C22⋊D7314yes—
532C2×D4C23×D7312yes—
533C2×D4C23×D7312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—82no—
542C22×C4—1462no—
543C22×C4—1462no—
544C22×C4—1462no—
545C22×C4—1462no—
546C22×C4C2×C22⋊D7311yescharacteristic
547C22×C4C2×C22⋊D7311yescharacteristic
548C22×C4C2×C22⋊D7311yescharacteristic
549C22×C4C2×C22⋊D7311yescharacteristic
550C22×C4C2×C22⋊D7312yes—
551C22×C4C2×C22⋊D7312yes—
552C22×C4C23×D7311yescharacteristic
553C22×C4C23×D7312yes—
554C22×C4C23×D7312yes—
555Q16—2928no—
556SD16—2928no—
557SD16—14616no—
558M16—2924no—
559C2×C8—2924no—
560C2×C8—738no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—734no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1464no—
567C4⋊C4—1464no—
568C4⋊C4—1462no—
569C4⋊C4—1462no—
570C4⋊C4—1462no—
571C4⋊C4—1462no—
572C4⋊C4—1462no—
573C4⋊C4C2×C22⋊D7314yes—
574C4⋊C4C23×D7312yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—1464no—
581C22⋊C4—1464no—
582C22⋊C4—1464no—
583C22⋊C4C2×C22⋊D7314yes—
584C22⋊C4C2×C22⋊D7314yes—
585C42—1464no—
586C42C2×C22⋊D7312yes—
587C42C23×D7312yes—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—48no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—48no—
602C23—42no—
603C23—84no—
604C23—816no—
605C23#1455662114yescomplemented
606C23C22×C22⋊D7312yes—
607C23C22×C22⋊D7312yes—
608C23C22×C22⋊D7311yescharacteristic
609Q8—24no—
610Q8—42no—
611Q8—5842no—
612Q8—5842no—
613Q8—5842no—
614Q8—1468no—
615D4—24no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—42no—
621D4—48no—
622D4—84no—
623D4#1455663614yes—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—84no—
639C2×C4—5842no—
640C2×C4—5842no—
641C2×C4—5842no—
642C2×C4—5842no—
643C2×C4—1464no—
644C2×C4—1464no—
645C2×C4C22×C22⋊D7312yes—
646C2×C4C22×C22⋊D7311yescharacteristic
647C2×C4C22×C22⋊D7312yes—
648C2×C4C22×C22⋊D7312yes—
649C2×C4C22×C22⋊D7312yes—
650C2×C4C24×D7311yescharacteristic
651C8—1468no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—24no—
658C22—22no—
659C22—22no—
660C22—44no—
661C22—48no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—82no—
668C22—816no—
669C22—84no—
670C22C2×#1455662112yes—
671C22C2×#1455662114yes—
672C22C23×C22⋊D7311yescharacteristic
673C4—22no—
674C4—21no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—2924no—
681C4—2924no—
682C4C2×#1455663612yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—44no—
687C2—82no—
688C2#2262356611yescharacteristic
689C2C22×#1455662111yescharacteristic
690C2#2262471111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
Fitting, prime radicalC2×#546×C73C2
socleC22×C73C23×D4
hypercenterC2×#546D73
hypocenterC73#61570
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #22623734C2semidirect
2. #22622012C2semidirect
3. #22621437C2semidirect
4. #22620934C2semidirect
5. #22620737C2semidirect
6. #22620703C2semidirect
7. #22620030C2semidirect
8. #22619191C2semidirect
9. C2×#17988738C2semidirect
10. #22618960C2semidirect
12. C2×#14556621C22semidirect
13. C22×#11924016C22semidirect
15. #17989294C22semidirect
16. D4×Dic146C22semidirect
20. #17989144C22semidirect
22. C2×#14556570C22semidirect
24. #17988982C22semidirect
25. #17988946C22semidirect
26. #17988922C22semidirect
27. #17988920C22semidirect
28. #17988898C22semidirect
29. #17988867C22semidirect
30. #17988831C22semidirect
31. #17988826C22semidirect
32. #17988806C22semidirect
33. #17988792C22semidirect
34. #17988749C22semidirect
35. #17988743C22semidirect
36. #17988742C22semidirect
39. #17988738C22semidirect
40. #17988725C22semidirect
41. #17988687C22semidirect
42. #17988659C22semidirect
43. #17988644C22semidirect
44. #17988588C22semidirect
45. C2×#14556512C22semidirect
46. #17988551C22semidirect
62. C22×Dic146C23semidirect
64. C2×#11924018C23semidirect
68. C2×#11924012C23semidirect
70. #14556591C23semidirect
71. #14556591C23semidirect
82. #14556570C23semidirect
88. C4×Dic146C23semidirect
93. C2×C4⋊Dic73C23semidirect
98. #14556524C23semidirect
99. C4⋊#10596831C23semidirect
100. #14556515C23semidirect
101. #14556514C23semidirect
106. C22⋊#10596831C23semidirect
107. #14556502C23semidirect
259. C23×C73#137semidirect
357. C73#61570semidirect
605. C23#14556621semidirect

Maximal subgroups

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

subgroupindex
#226237342
#226220122
#226214372
#226209342
#226207372
#226207032
#226200302
#226191912
C2×#179887382
#226189602
C2×#546×C732
#6157073