Finite Group Databasebeta

← #33949666

Subgroups — #33949666

Order 18688.

2694 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×#17989353C211yesmaximal, characteristic
2#22623132C211yesmaximal, characteristic
3C2×#17989067C211yesmaximal, characteristic
4#22618530C214yesmaximal, complemented
5#22618528C214yesmaximal, complemented
6#22618525C214yesmaximal, complemented
7#22618523C214yesmaximal, complemented
8#22618520C211yesmaximal, characteristic, complemented
9#22618518C214yesmaximal, complemented
10C2×#17988630C211yesmaximal, characteristic, complemented
11C2×#17988629C211yesmaximal, characteristic, complemented
12#428×D73C214yesmaximal, complemented
13C73×#2911C211yesmaximal, characteristic, complemented
14C22×#11924028C2211yescharacteristic
15#17989353C4116yescomplemented
16C2×#14556599C2214yes—
17C2×#14556597C2214yes—
18C22×#11924012C2211yescharacteristic
19C2×M16×D73C2214yes—
20#17989068C2212yes—
21#17989068C2212yes—
22#17989067—22no—
23#17989067—22no—
24#17989067C2214yes—
25#17989067C2214yes—
26#17989067C2212yes—
27#17989067C2212yes—
28#17989064—21no—
29#17989061—21no—
30#17989060—22no—
31C4×#11924028—22no—
32#17989055—22no—
33C2×C4×Dic146—21no—
34C2×C4×D292—21no—
35C2×#14556551—22no—
36C2×#14556550C2211yescharacteristic
37C2×#14556549C2212yes—
38#117×D73C2214yes—
39C22×C4⋊Dic73C2211yescharacteristic
40C2×C4⋊C4×D73C2212yes—
41#17988630C2214yes—
42#17988630C2214yescomplemented
43#17988630C2212yescomplemented
44#17988630C2212yescomplemented
45#17988629C2214yes—
46#17988629C2214yescomplemented
47#17988628C2218yescomplemented
48#17988628C2218yescomplemented
49#17988627C2212yes—
50#17988627C2212yes—
51#17988626C2218yescomplemented
52#17988626C2218yescomplemented
53#17988624C2218yescomplemented
54#17988623C2214yescomplemented
55#17988622C2218yescomplemented
56C2×#14556525C2212yescomplemented
57C2×#14556524C2212yescomplemented
58#107×D73C2218yescomplemented
59C2×#14556523C2212yescomplemented
60C2×#14556522C2212yescomplemented
61#106×D73C2218yescomplemented
62C22×M16×C73C2211yescharacteristic
63C2×#117×C73C2211yescharacteristic
64C2×#117×C73C2211yescharacteristic
65#428×C73C2212yes—
66#428×C73C2212yes—
67#428×C73C2212yescomplemented
68#428×C73C2212yescomplemented
69#427×C73C2214yescomplemented
70C2×#11924028C2×C418yes—
71C2×#11924028D412yes—
72C2×#11924028D412yes—
73C2×#11924028Q818yes—
74C2×#11924028C2312yes—
75C2×#11924028C2312yes—
76C22×Dic146D411yescharacteristic
77C22×D292D411yescharacteristic
78C22×C22⋊D73D412yes—
79C23×Dic73—21no—
80C22×C4×D73—22no—
81C22×C4×D73C2312yes—
82#14556599C2×C4132yescomplemented
83#14556597C2×C4132yescomplemented
84C2×#11924012C2×C418yescomplemented
85C2×#11924012C2312yes—
86C2×#11924012C2312yes—
87C2×#11924011C2318yes—
88M16×D73C2×C4132yescomplemented
89C22×#10596831C2312yes—
90C2×C8×D73C2318yes—
91C4×Dic146—24no—
92C4×Dic146—24no—
93C4×Dic146—22no—
94C4×Dic146—22no—
95#14556556—22no—
96#14556556—22no—
97C4×D292—24no—
98C4×D292—24no—
99C4×D292—22no—
100C4×D292—22no—
101#14556553—22no—
102#14556553—22no—
103C4×C22⋊D73—24no—
104C4×C22⋊D73—24no—
105#14556551—28no—
106#14556551—28no—
107#14556551—24no—
108#14556551—24no—
109#14556550—21no—
110#14556550—21no—
111#14556550C2312yes—
112#14556550C2312yes—
113#14556549—24no—
114#14556549C2314yes—
115#14556549C2318yes—
116#14556549C2314yes—
117#14556548—24no—
118#14556547—24no—
119C2×C4⋊Dic73—21no—
120C2×C4⋊Dic73—21no—
121C2×C4⋊Dic73—21no—
122C2×C4⋊Dic73C2312yes—
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2312yes—
125C2×C4⋊Dic73C2311yescharacteristic
126C2×C4⋊Dic73C2312yes—
127C2×#11924007—22no—
128C4⋊C4×D73—24no—
129C4⋊C4×D73C2314yes—
130C4⋊C4×D73C2318yes—
131C4⋊C4×D73C2314yes—
132C2×C22⋊Dic73—21no—
133C2×#11924005—22no—
134C22⋊C4×D73—24no—
135C2×C4×Dic73—22no—
136C2×C4×Dic73—21no—
137C42×D73—24no—
138#14556525C2318yes—
139#14556524C2314yes—
140#14556524C2318yes—
141#14556524C2314yes—
142#14556523C2318yes—
143#14556522C2314yes—
144#14556522C2318yes—
145#14556522C2314yes—
146C23×C4×C73C2311yescharacteristic
147C2×M16×C73C2×C418yescomplemented
148C2×M16×C73C2312yes—
149C2×M16×C73C2312yes—
150C22×C8×C73C2312yes—
151#117×C73—21no—
152#117×C73—21no—
153#117×C73—21no—
154#117×C73—21no—
155#117×C73C2312yes—
156#117×C73C2312yes—
157#117×C73C2312yes—
158#117×C73C2312yes—
159C2×C4⋊C4×C73C2311yescharacteristic
160C2×C4⋊C4×C73C2311yescharacteristic
161C2×C4⋊C4×C73C2311yescharacteristic
162C2×C4⋊C4×C73C2311yescharacteristic
163C2×C22⋊C4×C73—21no—
164C2×C22⋊C4×C73—21no—
165C2×C42×C73—21no—
166C2×C42×C73—21no—
167#107×C73C2314yes—
168#107×C73C2314yes—
169#106×C73C2314yes—
170#106×C73C2314yes—
171C23×D73C2×D412yes—
172#11924028C4⋊C4116yes—
173#11924028C4⋊C4116yes—
174#11924028C22×C418yes—
175#11924028C22×C418yes—
176#11924028C2×Q818yes—
177#11924028C2×Q818yes—
178C2×Dic146C4⋊C418yes—
179C2×Dic146C2×D412yes—
180C2×Dic146C2×D412yes—
181C2×D292C4⋊C418yes—
182C2×D292C2×D412yes—
183C2×D292C2×D412yes—
184C2×C22⋊D73C4⋊C4116yes—
185C2×C22⋊D73C2×D414yes—
186C2×C22⋊D73C2×D414yes—
187C22×Dic73—22no—
188C22×Dic73—21no—
189C22×Dic73—21no—
190C22×Dic73—22no—
191C22×Dic73—22no—
192C22×Dic73—82no—
193C22×Dic73C2×D412yes—
194C2×C4×D73—24no—
195C2×C4×D73—24no—
196C2×C4×D73—28no—
197C2×C4×D73—84no—
198C2×C4×D73C22×C418yes—
199C2×C4×D73C2×D414yes—
200C2×C4×D73C2×Q818yes—
201C2×C4×D73C2414yes—
202#11924012C22×C418yes—
203#11924012C22×C418yescomplemented
204#11924011C22×C4132yescomplemented
205C2×#10596831C22×C418yescomplemented
206C2×#10596831C2414yes—
207C8×D73C22×C4132yescomplemented
208C4⋊Dic73—22no—
209C4⋊Dic73—22no—
210C4⋊Dic73—22no—
211C4⋊Dic73—21no—
212C4⋊Dic73—21no—
213C4⋊Dic73C2412yes—
214C4⋊Dic73C2414yes—
215C4⋊Dic73C2412yes—
216#11924007—28no—
217#11924007—24no—
218#11924007—24no—
219C22⋊Dic73—22no—
220C22⋊Dic73—22no—
221#11924005—24no—
222#11924005—24no—
223#11924005—28no—
224C4×Dic73—22no—
225C4×Dic73—22no—
226C4×Dic73—24no—
227C4×Dic73—24no—
228C4×Dic73—28no—
229C24×C73C2×D411yescharacteristic
230C22×C4×C73—21no—
231C22×C4×C73—21no—
232C22×C4×C73—21no—
233C22×C4×C73—21no—
234C22×C4×C73C22×C414yes—
235C22×C4×C73C2×D411yescharacteristic
236C22×C4×C73C2×D411yescharacteristic
237C22×C4×C73C2×D411yescharacteristic
238C22×C4×C73C2×Q814yes—
239C22×C4×C73C2411yescharacteristic
240C22×C4×C73C2411yescharacteristic
241C22×C4×C73C2411yescharacteristic
242M16×C73C22×C418yes—
243M16×C73C22×C418yescomplemented
244C2×C8×C73C22×C418yescomplemented
245C2×C8×C73C2414yes—
246C4⋊C4×C73—21no—
247C4⋊C4×C73—21no—
248C4⋊C4×C73—21no—
249C4⋊C4×C73—21no—
250C4⋊C4×C73C2412yes—
251C4⋊C4×C73C2412yes—
252C4⋊C4×C73C2412yes—
253C4⋊C4×C73C2412yes—
254C22⋊C4×C73—22no—
255C22⋊C4×C73—22no—
256C22⋊C4×C73—22no—
257C22⋊C4×C73—22no—
258C42×C73—22no—
259C42×C73—22no—
260C42×C73—22no—
261C42×C73—22no—
262C23×C73—41no—
263C23×C73—41no—
264C23×C73C2×C4⋊C414yes—
265C23×C73C22×D411yescharacteristic
266C23×C73C22×D411yescharacteristic
267C23×C73C22×D411yescharacteristic
268C22×D73—42no—
269C22×D73—42no—
270C22×D73C2×C4⋊C418yes—
271C22×D73C22×D414yes—
272C2×C4×C73—22no—
273C2×C4×C73—22no—
274C2×C4×C73—22no—
275C2×C4×C73—22no—
276C2×C4×C73—42no—
277C2×C4×C73—42no—
278C2×C4×C73—81no—
279C2×C4×C73—81no—
280C2×C4×C73C2×C4⋊C414yes—
281C2×C4×C73C2×C4⋊C414yes—
282C2×C4×C73C2×C4⋊C414yes—
283C2×C4×C73C23×C412yes—
284C2×C4×C73C23×C412yes—
285C2×C4×C73C23×C412yes—
286C2×C4×C73C22×D411yescharacteristic
287C2×C4×C73C22×D411yescharacteristic
288C2×C4×C73C22×D411yescharacteristic
289C2×C4×C73C22×Q812yes—
290C2×C4×C73C22×Q812yes—
291C2×C4×C73C22×Q812yes—
292C2×C4×C73C2511yescharacteristic
293C22⋊D73C2×C4⋊C4116yes—
294C22⋊D73C2×C4⋊C4116yes—
295C2×Dic73—22no—
296C2×Dic73—22no—
297C2×Dic73—24no—
298C2×Dic73—44no—
299C2×Dic73—81no—
300C2×Dic73—81no—
301C2×Dic73—82no—
302C2×Dic73—82no—
303C2×Dic73C2×C4⋊C418yes—
304C2×Dic73C22×D414yes—
305D292C2×C4⋊C418yes—
306D292C2×C4⋊C418yes—
307C4×D73—84no—
308C4×D73—84no—
309C4×D73—88no—
310C4×D73C2×C4⋊C4116yes—
311C4×D73C23×C418yes—
312C4×D73C22×Q818yes—
313Dic146C2×C4⋊C418yes—
314Dic146C2×C4⋊C418yes—
315C8×C73C23×C418yes—
316#10596831C23×C418yes—
317C22×C73—21no—
318C22×C73—21no—
319C22×C73—21no—
320C22×C73—21no—
321C22×C73—21no—
322C22×C73—21no—
323C22×C73—44no—
324C22×C73C22×C4⋊C412yes—
325C22×C73C22×C4⋊C412yes—
326C22×C73C22×C4⋊C412yes—
327C22×C73C23×D411yescharacteristic
328C2×D73—24no—
329C2×D73—24no—
330C2×D73—48no—
331C2×D73C22×C4⋊C418yes—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73C22×C4⋊C412yes—
337C4×C73C22×C4⋊C412yes—
338C4×C73C22×C4⋊C412yes—
339C4×C73C24×C411yescharacteristic
340C4×C73C23×Q811yescharacteristic
341Dic73—44no—
342Dic73—42no—
343Dic73—42no—
344Dic73C22×C4⋊C418yes—
345#60109—731nomaximal, Sylow
346C2×C73—22no—
347C2×C73—22no—
348C2×C73—22no—
349C2×C73C23×C4⋊C411yescharacteristic
350C2×C73#358511yescharacteristic
351C2×C73#358611yescharacteristic
352D73—28no—
353C2×#568—731no—
354#3428—731no—
355C2×#520—731no—
356#2913—734no—
357#2913—734no—
358#2912—734no—
359#2912—734no—
360#2911—734no—
361#2911—731no—
362#2911D7311yescharacteristic, complemented
363C2×#428—734no—
364C2×#428—731no—
365C2×#428—731no—
366C73#6010911yescharacteristic, complemented, Sylow
367C22×#41—731no—
368#568—7316no—
369C2×#131—734no—
370C2×#131—734no—
371C22×M16—731no—
372C22×M16—734no—
373C22×M16C2×D7311yescharacteristic
374#520—732no—
375#520—734no—
376#520—734no—
377#520—732no—
378#520—732no—
379#520—732no—
380#520—1462no—
381#520—1462no—
382#519—1461no—
383#518—1462no—
384#518—1461no—
385C4×#41—1462no—
386C4×#41—1462no—
387C2×C4×Q8—1461no—
388C2×C4×D4—1461no—
389C2×C4×D4—1462no—
390C2×#117—731no—
391C2×#117—734no—
392C2×#117—732no—
393C2×#117C2×D7311yescharacteristic
394C2×#117C2×D7311yescharacteristic
395C22×C4⋊C4—731no—
396C22×C4⋊C4—732no—
397#428—734no—
398#428—734no—
399#428—734no—
400#428—734no—
401#428—732no—
402#428—732no—
403#428—732no—
404#428—732no—
405#428—738no—
406#428—738no—
407#428—738no—
408#428—738no—
409#428C2×D7312yes—
410#428C2×D7312yes—
411#428C2×D7312yescomplemented
412#428C2×D7312yescomplemented
413#427—734no—
414#427—738no—
415#427—738no—
416#427C2×D7314yescomplemented
417C2×#107—732no—
418C2×#107—732no—
419C2×#107—738no—
420C2×#106—732no—
421C2×#106—732no—
422C2×#106—738no—
423C2×#41—738no—
424C2×#41—732no—
425C2×#41—732no—
426C2×#41—738no—
427C2×#41—732no—
428C2×#41—732no—
429C22×Q8—731no—
430C22×D4—732no—
431C22×D4—731no—
432C23×C4—732no—
433C23×C4—1462no—
434C23×C4—1461no—
435C23×C4C22×D7311yescharacteristic
436#131—7332no—
437#131—7332no—
438C2×M16—738no—
439C2×M16—732no—
440C2×M16—732no—
441C2×M16—7332no—
442C2×M16—738no—
443C2×M16C4×D7318yescomplemented
444C2×M16C22×D7312yes—
445C2×M16C22×D7312yes—
446C22×C8—732no—
447C22×C8—738no—
448C22×C8C22×D7312yes—
449C4×Q8—1464no—
450C4×Q8—1464no—
451C4×Q8—1462no—
452C4×Q8—1462no—
453C4×Q8—1462no—
454C4×Q8—1462no—
455C4×D4—1464no—
456C4×D4—1464no—
457C4×D4—1462no—
458C4×D4—1462no—
459C4×D4—1468no—
460C4×D4—1468no—
461C4×D4—1464no—
462C4×D4—1464no—
463C4×D4—1462no—
464C4×D4—1462no—
465C4×D4—1464no—
466C4×D4—1464no—
467#117—21no—
468#117—21no—
469#117—21no—
470#117—21no—
471#117—732no—
472#117—732no—
473#117—734no—
474#117—738no—
475#117—734no—
476#117—1464no—
477#117—1464no—
478#117—1464no—
479#117—1461no—
480#117—1461no—
481#117C22×D7312yes—
482#117C22×D7312yes—
483#117C22×D7312yes—
484#117C22×D7312yes—
485C2×C4⋊C4—732no—
486C2×C4⋊C4—732no—
487C2×C4⋊C4—732no—
488C2×C4⋊C4—731no—
489C2×C4⋊C4—731no—
490C2×C4⋊C4—738no—
491C2×C4⋊C4—734no—
492C2×C4⋊C4—734no—
493C2×C4⋊C4—1464no—
494C2×C4⋊C4—1462no—
495C2×C4⋊C4—1461no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
498C2×C4⋊C4C22×D7311yescharacteristic
499C2×C4⋊C4C22×D7311yescharacteristic
500C2×C4⋊C4C22×D7311yescharacteristic
501C2×C4⋊C4C22×D7311yescharacteristic
502C2×C22⋊C4—21no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—1464no—
505C2×C22⋊C4—1462no—
506C2×C22⋊C4—1461no—
507C2×C42—21no—
508C2×C42—21no—
509C2×C42—1464no—
510C2×C42—1462no—
511C2×C42—1461no—
512#107—738no—
513#107—738no—
514#107—734no—
515#107—734no—
516#107C22×D7314yes—
517#107C22×D7314yes—
518#106—738no—
519#106—734no—
520#106—738no—
521#106—734no—
522#106C22×D7314yes—
523#106C22×D7314yes—
524C24—732no—
525C24D4×D7311yescharacteristic
526#41—7316no—
527#41—7316no—
528#41—738no—
529#41—738no—
530#41—738no—
531#41—738no—
532C2×Q8—738no—
533C2×Q8—732no—
534C2×Q8—732no—
535C2×D4—7316no—
536C2×D4—734no—
537C2×D4—734no—
538C2×D4—738no—
539C2×D4—732no—
540C2×D4—732no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—5844no—
546C22×C4—5842no—
547C22×C4—732no—
548C22×C4—738no—
549C22×C4—734no—
550C22×C4—738no—
551C22×C4—734no—
552C22×C4—1464no—
553C22×C4—1464no—
554C22×C4—1468no—
555C22×C4—1462no—
556C22×C4—1461no—
557C22×C4—1461no—
558C22×C4—1462no—
559C22×C4—1462no—
560C22×C4C2×C4×D7314yes—
561C22×C4D4×D7311yescharacteristic
562C22×C4D4×D7311yescharacteristic
563C22×C4D4×D7311yescharacteristic
564C22×C4Q8×D7314yes—
565C22×C4C23×D7311yescharacteristic
566C22×C4C23×D7311yescharacteristic
567C22×C4C23×D7311yescharacteristic
568M16—738no—
569M16—738no—
570M16—7332no—
571M16C2×C4×D7318yes—
572M16C2×C4×D7318yescomplemented
573C2×C8—738no—
574C2×C8—734no—
575C2×C8—7332no—
576C2×C8C2×C4×D7318yescomplemented
577C2×C8C23×D7314yes—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—732no—
583C4⋊C4—734no—
584C4⋊C4—732no—
585C4⋊C4—1468no—
586C4⋊C4—1464no—
587C4⋊C4—1464no—
588C4⋊C4—1462no—
589C4⋊C4—1462no—
590C4⋊C4—1462no—
591C4⋊C4—1461no—
592C4⋊C4—1461no—
593C4⋊C4C23×D7312yes—
594C4⋊C4C23×D7312yes—
595C4⋊C4C23×D7312yes—
596C4⋊C4C23×D7312yes—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—1468no—
602C22⋊C4—1464no—
603C22⋊C4—1464no—
604C22⋊C4—1462no—
605C22⋊C4—1462no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—1468no—
611C42—1464no—
612C42—1464no—
613C42—1462no—
614C42—1462no—
615C23—41no—
616C23—41no—
617C23—2922no—
618C23—2922no—
619C23—738no—
620C23—734no—
621C23C4⋊C4×D7314yes—
622C23C2×D4×D7311yescharacteristic
623C23C2×D4×D7311yescharacteristic
624C23C2×D4×D7311yescharacteristic
625Q8—738no—
626Q8—738no—
627D4—7316no—
628D4—7316no—
629D4—738no—
630D4—738no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—2924no—
640C2×C4—5848no—
641C2×C4—5844no—
642C2×C4—5844no—
643C2×C4—5842no—
644C2×C4—5842no—
645C2×C4—5841no—
646C2×C4—5841no—
647C2×C4—734no—
648C2×C4—738no—
649C2×C4—738no—
650C2×C4—738no—
651C2×C4—7316no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4—1464no—
655C2×C4C4⋊C4×D7314yes—
656C2×C4C4⋊C4×D7314yes—
657C2×C4C4⋊C4×D7314yes—
658C2×C4C22×C4×D7312yes—
659C2×C4C22×C4×D7312yes—
660C2×C4C22×C4×D7312yes—
661C2×C4C2×D4×D7311yescharacteristic
662C2×C4C2×D4×D7311yescharacteristic
663C2×C4C2×D4×D7311yescharacteristic
664C2×C4C2×Q8×D7312yes—
665C2×C4C2×Q8×D7312yes—
666C2×C4C2×Q8×D7312yes—
667C2×C4C24×D7311yescharacteristic
668C8—738no—
669C8C22×C4×D7318yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—2928no—
678C22—738no—
679C22—1464no—
680C22—1464no—
681C22C2×C4⋊C4×D7312yes—
682C22C2×C4⋊C4×D7312yes—
683C22C2×C4⋊C4×D7312yes—
684C22C22×D4×D7311yescharacteristic
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—2924no—
690C4—2922no—
691C4—2922no—
692C4—738no—
693C4C2×C4⋊C4×D7312yes—
694C4C2×C4⋊C4×D7312yes—
695C4C2×C4⋊C4×D7312yes—
696C4C23×C4×D7311yescharacteristic
697C4C22×Q8×D7311yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—1468no—
702C2C22×C4⋊C4×D7311yescharacteristic
703C2#2262470811yescharacteristic
704C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutatorC4×C73C24×C4
FrattiniC2×C4C24×D73
FittingC73×#2911C2
socleC22×C73C23×D4
prime radicalC22×#11924028C22
cosocleC2×C4×C73C25
hypercenter#2911D73
hypocenterC73#60109
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2911

Complements

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

NH ≅ G/Ntype
4. #22618530C2semidirect
5. #22618528C2semidirect
6. #22618525C2semidirect
7. #22618523C2semidirect
8. #22618520C2semidirect
9. #22618518C2semidirect
10. C2×#17988630C2semidirect
11. C2×#17988629C2semidirect
12. #428×D73C2semidirect
13. C73×#2911C2semidirect
15. #17989353C4semidirect
42. #17988630C22semidirect
43. #17988630C22semidirect
44. #17988630C22semidirect
46. #17988629C22semidirect
47. #17988628C22semidirect
48. #17988628C22semidirect
51. #17988626C22semidirect
52. #17988626C22semidirect
53. #17988624C22semidirect
54. #17988623C22semidirect
55. #17988622C22semidirect
56. C2×#14556525C22semidirect
57. C2×#14556524C22semidirect
58. #107×D73C22semidirect
59. C2×#14556523C22semidirect
60. C2×#14556522C22semidirect
61. #106×D73C22semidirect
67. #428×C73C22semidirect
68. #428×C73C22semidirect
69. #427×C73C22semidirect
82. #14556599C2×C4semidirect
83. #14556597C2×C4semidirect
84. C2×#11924012C2×C4semidirect
88. M16×D73C2×C4semidirect
147. C2×M16×C73C2×C4semidirect
203. #11924012C22×C4semidirect
204. #11924011C22×C4semidirect
205. C2×#10596831C22×C4semidirect
207. C8×D73C22×C4semidirect
243. M16×C73C22×C4semidirect
244. C2×C8×C73C22×C4semidirect
362. #2911D73semidirect
366. C73#60109semidirect
411. #428C2×D73semidirect
412. #428C2×D73semidirect
416. #427C2×D73semidirect
443. C2×M16C4×D73semidirect
572. M16C2×C4×D73semidirect
576. C2×C8C2×C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179893532
#226231322
C2×#179890672
#226185302
#226185282
#226185252
#226185232
#226185202
#226185182
C2×#179886302
C2×#179886292
#428×D732
C73×#29112
#6010973