Finite Group Databasebeta

← #33970816

Subgroups — #33970816

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
1C2×#17989233C211yesmaximal, characteristic
2#22622006C218yesmaximal, complemented
3#22621442C218yesmaximal, complemented
4#22620930C212yesmaximal, complemented
5#22620733C212yesmaximal, complemented
6#22620703C212yesmaximal, complemented
7#22620026C212yesmaximal, complemented
8#22619189C212yesmaximal, complemented
9C2×#17988737C212yesmaximal, complemented
10#22618960C211yesmaximal, characteristic, complemented
11C73×#3501C211yesmaximal, characteristic, complemented
12C22×#11924028C2211yescharacteristic
13C23×D292C2211yescharacteristic
14C2×#14556622C2214yescomplemented
15C22×#11924015C2214yescomplemented
16#17989233—24no—
17#17989233C2218yes—
18C2×#14556579C2211yescharacteristic
19C2×#14556576—21no—
20C2×#14556570C2211yescharacteristic
21C2×#14556565C2211yescharacteristic
22C2×#14556564—21no—
23C2×#14556559—21no—
24C2×C4×D292C2211yescharacteristic
25C2×C22⋊C4×D73—21no—
26#17988979C2214yescomplemented
27#17988949C2214yescomplemented
28#17988922C2214yescomplemented
29#17988920C2214yescomplemented
30#17988900C2214yescomplemented
31#17988864C2214yescomplemented
32#17988835C2218yescomplemented
33#17988826C2218yescomplemented
34#17988809C2218yescomplemented
35#17988789C2214yescomplemented
36#17988747C2218yescomplemented
37#17988743C2214yescomplemented
38#17988742C2214yescomplemented
39#17988737C2214yes—
40#17988737C2214yes—
41#17988737C2218yescomplemented
42#17988726C2214yescomplemented
43#17988685C2218yescomplemented
44#17988659C2218yescomplemented
45#17988644C2212yescomplemented
46#17988586C2214yescomplemented
47C2×#14556511C2214yescomplemented
48#17988551C2212yescomplemented
49C2×C22⋊#10596831C2212yes—
50#554×C73—24no—
51#554×C73C2214yescomplemented
52D4×Q8×C73C2214yescomplemented
53#544×C73—21no—
54#543×C73—21no—
55#543×C73—21no—
56#533×C73C2212yescomplemented
57C2×C22⋊Q8×C73C2212yes—
58C2×C22⋊Q8×C73C2212yescomplemented
59#518×C73—21no—
60C2×C4×D4×C73C2211yescharacteristic
61C24×D73—21no—
62C2×#11924028—22no—
63C2×#11924028—44no—
64C2×#11924028C2314yes—
65C22×Dic146C2311yescharacteristic
66C22×D292—22no—
67C22×D292—21no—
68C22×D292—44no—
69C22×D292C2311yescharacteristic
70C22×D292C2314yes—
71C22×D292C2311yescharacteristic
72C22×C22⋊D73—21no—
73C22×C22⋊D73—21no—
74C22×C4×D73—21no—
75C22×C4×D73—21no—
76#14556622—48no—
77C2×#11924018C2318yescomplemented
78C2×#11924015—48no—
79C2×#11924015C2318yes—
80C2×#11924015C2318yes—
81C2×#11924012C2314yescomplemented
82C22×#10596831C2314yes—
83#14556579—22no—
84#14556579C2314yes—
85#14556576—28no—
86#14556570—22no—
87#14556570C2314yes—
88#14556565—22no—
89#14556565C2314yes—
90#14556564—28no—
91#14556559—28no—
92C4×D292—22no—
93C4×D292C2314yes—
94C2×C4⋊Dic73C2311yescharacteristic
95C2×#11924007—21no—
96C2×C22⋊Dic73—21no—
97C2×#11924005—21no—
98C2×#11924005—21no—
99C2×#11924005—21no—
100C2×#11924005—21no—
101C22⋊C4×D73—28no—
102#14556524C2318yescomplemented
103C4⋊#10596831C2314yescomplemented
104#14556515C2318yescomplemented
105#14556514C2318yescomplemented
106#14556511C2318yes—
107#14556511C2318yes—
108C22⋊#10596831C2314yes—
109C22⋊#10596831C2314yes—
110C22⋊#10596831C2314yescomplemented
111#14556502C2314yescomplemented
112C22×Q8×C73C2312yes—
113C22×Q8×C73C2312yescomplemented
114C22×D4×C73D411yescharacteristic
115C23×C4×C73C2311yescharacteristic
116C23×C4×C73C2311yescharacteristic
117C4⋊Q8×C73—24no—
118C4⋊Q8×C73C2312yescomplemented
119C4⋊Q8×C73C2312yescomplemented
120#125×C73—24no—
121#125×C73—22no—
122C22⋊Q8×C73—22no—
123C22⋊Q8×C73—22no—
124C22⋊Q8×C73—22no—
125C22⋊Q8×C73—22no—
126C22⋊Q8×C73—22no—
127C22⋊Q8×C73—24no—
128C22⋊Q8×C73—24no—
129C22⋊Q8×C73—24no—
130C22⋊Q8×C73—24no—
131C22⋊Q8×C73C2314yes—
132C22⋊Q8×C73C2314yes—
133C22⋊Q8×C73C2314yescomplemented
134C4×Q8×C73—22no—
135C4×Q8×C73C2314yescomplemented
136C4×D4×C73—24no—
137C4×D4×C73—24no—
138C4×D4×C73D414yes—
139C4×D4×C73C2314yes—
140#117×C73—22no—
141C2×C4⋊C4×C73—22no—
142C2×C4⋊C4×C73—22no—
143C2×C4⋊C4×C73D411yescharacteristic
144C2×C4⋊C4×C73C2312yes—
145C2×C4⋊C4×C73C2312yescomplemented
146C2×C22⋊C4×C73—22no—
147C2×C22⋊C4×C73—22no—
148C2×C22⋊C4×C73D411yescharacteristic
149C2×C22⋊C4×C73D411yescharacteristic
150C2×C42×C73C2311yescharacteristic
151C23×D73—21no—
152C23×D73—21no—
153C23×D73—24no—
154C23×D73—44no—
155C23×D73—44no—
156C23×D73—82no—
157#11924028—28no—
158#11924028—44no—
159#11924028—48no—
160C2×Dic146—21no—
161C2×Dic146—42no—
162C2×Dic146C2412yes—
163C2×D292—21no—
164C2×D292—24no—
165C2×D292—28no—
166C2×D292—24no—
167C2×D292—21no—
168C2×D292—44no—
169C2×D292—42no—
170C2×D292—48no—
171C2×D292—44no—
172C2×D292C2412yes—
173C2×D292C2412yes—
174C2×C22⋊D73—24no—
175C2×C22⋊D73—24no—
176C2×C22⋊D73—44no—
177C2×C22⋊D73—82no—
178C22×Dic73—21no—
179C22×Dic73—21no—
180C2×C4×D73—24no—
181C2×C4×D73—24no—
182C2×C4×D73—44no—
183C2×C4×D73—82no—
184#11924018—48no—
185#11924015—216no—
186#11924015—48no—
187#11924012—44no—
188C2×#10596831—44no—
189C2×#10596831C2418yes—
190C4⋊Dic73—21no—
191C4⋊Dic73C2412yes—
192#11924007—24no—
193C22⋊Dic73—24no—
194#11924005—24no—
195#11924005—24no—
196#11924005—24no—
197#11924005—24no—
198C24×C73C2×D411yescharacteristic
199C24×C73C2×D411yescharacteristic
200C2×Q8×C73—22no—
201C2×Q8×C73—22no—
202C2×Q8×C73—22no—
203C2×Q8×C73—44no—
204C2×Q8×C73—44no—
205C2×Q8×C73C2414yes—
206C2×D4×C73—24no—
207C2×D4×C73C2×D414yes—
208C22×C4×C73—22no—
209C22×C4×C73—22no—
210C22×C4×C73—22no—
211C22×C4×C73—22no—
212C22×C4×C73—42no—
213C22×C4×C73—42no—
214C22×C4×C73C2×D411yescharacteristic
215C22×C4×C73C2×D411yescharacteristic
216C22×C4×C73C2×D411yescharacteristic
217C22×C4×C73C2×D411yescharacteristic
218C22×C4×C73C2×D412yes—
219C22×C4×C73C2×D412yes—
220C22×C4×C73C2411yescharacteristic
221C22×C4×C73C2412yes—
222C22×C4×C73C2412yes—
223C4⋊C4×C73—24no—
224C4⋊C4×C73—24no—
225C4⋊C4×C73—24no—
226C4⋊C4×C73—22no—
227C4⋊C4×C73—22no—
228C4⋊C4×C73—22no—
229C4⋊C4×C73—22no—
230C4⋊C4×C73—22no—
231C4⋊C4×C73—24no—
232C4⋊C4×C73C2×D414yes—
233C4⋊C4×C73C2414yes—
234C22⋊C4×C73—24no—
235C22⋊C4×C73—24no—
236C22⋊C4×C73—24no—
237C22⋊C4×C73C2×D414yes—
238C22⋊C4×C73C2×D414yes—
239C42×C73—24no—
240C42×C73C2×D412yes—
241C42×C73C2412yes—
242C23×C73—22no—
243C23×C73—41no—
244C23×C73—41no—
245C23×C73—41no—
246C23×C73—41no—
247C23×C73#13714yescomplemented
248C23×C73C22×D412yes—
249C23×C73C22×D411yescharacteristic
250C23×C73C22×D412yes—
251C22×D73—24no—
252C22×D73—22no—
253C22×D73—22no—
254C22×D73—48no—
255C22×D73—42no—
256C22×D73—42no—
257C22×D73—42no—
258C22×D73—42no—
259C22×D73—48no—
260C22×D73—42no—
261C22×D73—84no—
262C22×D73—816no—
263Q8×C73—28no—
264Q8×C73—82no—
265Q8×C73—82no—
266Q8×C73—82no—
267D4×C73—28no—
268C2×C4×C73—22no—
269C2×C4×C73—22no—
270C2×C4×C73—24no—
271C2×C4×C73—24no—
272C2×C4×C73—24no—
273C2×C4×C73—24no—
274C2×C4×C73—41no—
275C2×C4×C73—42no—
276C2×C4×C73—41no—
277C2×C4×C73—42no—
278C2×C4×C73—41no—
279C2×C4×C73—82no—
280C2×C4×C73—82no—
281C2×C4×C73—82no—
282C2×C4×C73—82no—
283C2×C4×C73C22×D412yes—
284C2×C4×C73C22×D411yescharacteristic
285C2×C4×C73C22×D412yes—
286C2×C4×C73C22×D412yes—
287C2×C4×C73C22×D412yes—
288C2×C4×C73C2511yescharacteristic
289C22⋊D73—48no—
290C22⋊D73—84no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—42no—
294C2×Dic73—42no—
295D292—24no—
296D292—22no—
297D292—24no—
298D292—48no—
299D292—42no—
300D292H(5,𝔽2)14yes—
301C4×D73—48no—
302C4×D73—84no—
303Dic146—24no—
304Dic146—42no—
305#10596831—28no—
306C22×C73—21no—
307C22×C73—22no—
308C22×C73—21no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73—44no—
314C22×C73—82no—
315C22×C73C2×#13712yes—
316C22×C73C2×#13714yes—
317C22×C73C23×D411yescharacteristic
318C2×D73—24no—
319C2×D73—48no—
320C2×D73—42no—
321C2×D73—42no—
322C2×D73—42no—
323C2×D73—42no—
324C2×D73—42no—
325C2×D73—816no—
326C2×D73—84no—
327C4×C73—22no—
328C4×C73—21no—
329C4×C73—22no—
330C4×C73—22no—
331C4×C73—22no—
332C4×C73—44no—
333C4×C73—44no—
334C4×C73C2×H(5,𝔽2)12yes—
335Dic73—42no—
336Dic73—42no—
337#61570—731nomaximal, Sylow
338C2×C73—22no—
339C2×C73—24no—
340C2×C73—42no—
341C2×C73#348411yescharacteristic
342C2×C73C22×#13711yescharacteristic
343C2×C73#358511yescharacteristic
344D73—44no—
345D73—82no—
346#3501D7311yescharacteristic, complemented
347C2×#546—731no—
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×#41—731no—
359C23×D4—731no—
360C2×#137—734no—
361C22×SD16—734no—
362#554—24no—
363#554C2×D7314yescomplemented
364D4×Q8C2×D7314yescomplemented
365#546—738no—
366#546—1464no—
367#544—21no—
368#543—21no—
369#543—21no—
370#533C2×D7312yescomplemented
371C2×#124—731no—
372C2×#123—1461no—
373C2×C22⋊Q8—731no—
374C2×C22⋊Q8C2×D7312yes—
375C2×C22⋊Q8C2×D7312yescomplemented
376C2×#121—731no—
377C2×#121—1461no—
378C2×#120—1461no—
379#518—21no—
380C2×C4×D4—731no—
381C2×C4×D4C2×D7311yescharacteristic
382C22×C22⋊C4—1461no—
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—1461no—
408C2×#41—2924no—
409C2×#41—734no—
410C2×#41—1462no—
411C22×Q8—731no—
412C22×Q8C22×D7312yes—
413C22×Q8C22×D7312yescomplemented
414C22×D4—2924no—
415C22×D4—731no—
416C22×D4—734no—
417C22×D4—731no—
418C22×D4—1461no—
419C22×D4—1461no—
420C22×D4—1461no—
421C22×D4—1462no—
422C22×D4C22⋊D7311yescharacteristic
423C23×C4—1461no—
424C23×C4—1461no—
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—24no—
435C4⋊Q8C22×D7312yescomplemented
436C4⋊Q8C22×D7312yescomplemented
437#125—24no—
438#125—22no—
439#124—734no—
440#124—1462no—
441#123—1468no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C22⋊Q8—24no—
448C22⋊Q8—24no—
449C22⋊Q8—24no—
450C22⋊Q8—24no—
451C22⋊Q8—734no—
452C22⋊Q8—1462no—
453C22⋊Q8C22×D7314yes—
454C22⋊Q8C22×D7314yes—
455C22⋊Q8C22×D7314yescomplemented
456#121—734no—
457#121—1462no—
458#121—1468no—
459#120—1468no—
460C4×Q8—22no—
461C4×Q8C22×D7314yescomplemented
462C4×D4—24no—
463C4×D4—24no—
464C4×D4—734no—
465C4×D4—1462no—
466C4×D4C22⋊D7314yes—
467C4×D4C22×D7314yes—
468#117—22no—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4—731no—
472C2×C4⋊C4—1461no—
473C2×C4⋊C4C22⋊D7311yescharacteristic
474C2×C4⋊C4C22×D7312yes—
475C2×C4⋊C4C22×D7312yescomplemented
476C2×C22⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—1461no—
479C2×C22⋊C4—1461no—
480C2×C22⋊C4—1461no—
481C2×C22⋊C4—1461no—
482C2×C22⋊C4—1461no—
483C2×C22⋊C4—1468no—
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—2924no—
498C24—2924no—
499C24—5842no—
500C24—1461no—
501C24—1464no—
502C24—1461no—
503C24C2×C22⋊D7311yescharacteristic
504C24C2×C22⋊D7311yescharacteristic
505#41—2924no—
506#41—2928no—
507#41—1468no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—2922no—
514C2×Q8—732no—
515C2×Q8—1461no—
516C2×Q8C23×D7314yes—
517C2×D4—24no—
518C2×D4—2924no—
519C2×D4—2922no—
520C2×D4—2924no—
521C2×D4—2928no—
522C2×D4—2924no—
523C2×D4—5842no—
524C2×D4—732no—
525C2×D4—732no—
526C2×D4—1468no—
527C2×D4—1464no—
528C2×D4—1464no—
529C2×D4—1464no—
530C2×D4—1464no—
531C2×D4—1461no—
532C2×D4—1461no—
533C2×D4C2×C22⋊D7314yes—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—2924no—
541C22×C4—5842no—
542C22×C4—1461no—
543C22×C4—1461no—
544C22×C4—1464no—
545C22×C4—1464no—
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—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—732no—
571C4⋊C4—1464no—
572C4⋊C4—1461no—
573C4⋊C4C2×C22⋊D7314yes—
574C4⋊C4C23×D7314yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—1464no—
579C22⋊C4—1464no—
580C22⋊C4—1464no—
581C22⋊C4—1464no—
582C22⋊C4—1464no—
583C22⋊C4C2×C22⋊D7314yes—
584C22⋊C4C2×C22⋊D7314yes—
585C42—24no—
586C42C2×C22⋊D7312yes—
587C42C23×D7312yes—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—2922no—
594C23—2922no—
595C23—2922no—
596C23—2928no—
597C23—2922no—
598C23—2928no—
599C23—2922no—
600C23—5844no—
601C23—58416no—
602C23—1464no—
603C23—1462no—
604C23—1462no—
605C23#1455662214yescomplemented
606C23C22×C22⋊D7312yes—
607C23C22×C22⋊D7311yescharacteristic
608C23C22×C22⋊D7312yes—
609Q8—28no—
610Q8—82no—
611Q8—82no—
612Q8—82no—
613Q8—2922no—
614Q8—1464no—
615D4—28no—
616D4—2922no—
617D4—2928no—
618D4—2928no—
619D4—5844no—
620D4—734no—
621D4—1464no—
622D4—1464no—
623D4—1462no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—2928no—
640C2×C4—2922no—
641C2×C4—2922no—
642C2×C4—5844no—
643C2×C4—1462no—
644C2×C4—1462no—
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—22no—
658C22—22no—
659C22—44no—
660C22—82no—
661C22—2928no—
662C22—2922no—
663C22—2922no—
664C22—2922no—
665C22—2922no—
666C22—2922no—
667C22—58416no—
668C22—5844no—
669C22—1464no—
670C22C2×#1455662212yes—
671C22C2×#1455662214yes—
672C22C23×C22⋊D7311yescharacteristic
673C4—21no—
674C4—22no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—44no—
679C4—44no—
680C4—2922no—
681C4—2922no—
682C4H(5,𝔽2)×D7312yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—2924no—
687C2—5842no—
688C2#2262356211yescharacteristic
689C2C22×#1455662211yescharacteristic
690C2#2262471011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3501C2
socleC22×C73C23×D4
prime radicalC2×#17989233C2
hypercenter#3501D73
hypocenterC73#61570
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3501

Complements

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

NH ≅ G/Ntype
2. #22622006C2semidirect
3. #22621442C2semidirect
4. #22620930C2semidirect
5. #22620733C2semidirect
6. #22620703C2semidirect
7. #22620026C2semidirect
8. #22619189C2semidirect
9. C2×#17988737C2semidirect
10. #22618960C2semidirect
11. C73×#3501C2semidirect
14. C2×#14556622C22semidirect
15. C22×#11924015C22semidirect
26. #17988979C22semidirect
27. #17988949C22semidirect
28. #17988922C22semidirect
29. #17988920C22semidirect
30. #17988900C22semidirect
31. #17988864C22semidirect
32. #17988835C22semidirect
33. #17988826C22semidirect
34. #17988809C22semidirect
35. #17988789C22semidirect
36. #17988747C22semidirect
37. #17988743C22semidirect
38. #17988742C22semidirect
41. #17988737C22semidirect
42. #17988726C22semidirect
43. #17988685C22semidirect
44. #17988659C22semidirect
45. #17988644C22semidirect
46. #17988586C22semidirect
47. C2×#14556511C22semidirect
48. #17988551C22semidirect
51. #554×C73C22semidirect
52. D4×Q8×C73C22semidirect
56. #533×C73C22semidirect
58. C2×C22⋊Q8×C73C22semidirect
77. C2×#11924018C23semidirect
81. C2×#11924012C23semidirect
102. #14556524C23semidirect
103. C4⋊#10596831C23semidirect
104. #14556515C23semidirect
105. #14556514C23semidirect
110. C22⋊#10596831C23semidirect
111. #14556502C23semidirect
113. C22×Q8×C73C23semidirect
118. C4⋊Q8×C73C23semidirect
119. C4⋊Q8×C73C23semidirect
133. C22⋊Q8×C73C23semidirect
135. C4×Q8×C73C23semidirect
145. C2×C4⋊C4×C73C23semidirect
247. C23×C73#137semidirect
346. #3501D73semidirect
357. C73#61570semidirect
363. #554C2×D73semidirect
364. D4×Q8C2×D73semidirect
370. #533C2×D73semidirect
375. C2×C22⋊Q8C2×D73semidirect
413. C22×Q8C22×D73semidirect
435. C4⋊Q8C22×D73semidirect
436. C4⋊Q8C22×D73semidirect
455. C22⋊Q8C22×D73semidirect
461. C4×Q8C22×D73semidirect
475. C2×C4⋊C4C22×D73semidirect
605. C23#14556622semidirect

Maximal subgroups

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

subgroupindex
C2×#179892332
#226220062
#226214422
#226209302
#226207332
#226207032
#226200262
#226191892
C2×#179887372
#226189602
C73×#35012
#6157073