Finite Group Databasebeta

← #10799093

Subgroups — #10799093

Order 768.

1678 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#911C211yesmaximal, characteristic
2C2×#4881C211yesmaximal, characteristic, complemented
3C2×#4772C211yesmaximal, characteristic, complemented
4C2×D3×#102C211yesmaximal, characteristic, complemented
5C2×#4689C211yesmaximal, characteristic, complemented
6#76428C211yesmaximal, characteristic, complemented
7#76294C211yesmaximal, characteristic, complemented
8C3×#1970C211yesmaximal, characteristic, complemented
9#72039C211yesmaximal, characteristic, complemented
10#70629C211yesmaximal, characteristic, complemented
11#70190C211yesmaximal, characteristic, complemented
12#70189C211yesmaximal, characteristic, complemented
13#69774C211yesmaximal, characteristic, complemented
14#69649C211yesmaximal, characteristic, complemented
15#69648C211yesmaximal, characteristic, complemented
16#21235—31nomaximal, Sylow
17C22×#237C2211yescharacteristic
18C22×D3×D4C2211yescharacteristic
19C22×C3×D8C2211yescharacteristic
20C22×#214C2211yescharacteristic
21C22×#213C2211yescharacteristic
22C2×#911—24no—
23C2×#911—24no—
24C2×#911C418yescomplemented
25C22×#204C2211yescharacteristic
26C22×ΓL(1,𝔽25)C2211yescharacteristic
27C22×D3×C8C2211yescharacteristic
28C2×#892C2211yescharacteristic
29C2×D3×C4⋊C4C2211yescharacteristic
30C2×#872C2211yescharacteristic
31C2×C3×#107C2211yescharacteristic, complemented
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic, complemented
34C2×C3×C4×C8C2211yescharacteristic, complemented
35C3×#390C2211yescharacteristic
36C3×#390C2211yescharacteristic, complemented
37#5221C2211yescharacteristic
38#5221C2211yescharacteristic, complemented
39C2×#832C2211yescharacteristic
40C2×#832C2211yescharacteristic, complemented
41C2×#821C2211yescharacteristic
42C2×#817C2211yescharacteristic, complemented
43C2×#816C2211yescharacteristic, complemented
44C2×#815C2211yescharacteristic, complemented
45C2×C8×Dic3C2211yescharacteristic, complemented
46#4988C2211yescharacteristic
47#4973C2211yescharacteristic, complemented
48C2×#810C2211yescharacteristic, complemented
49C2×#809C2211yescharacteristic
50C2×#808C2211yescharacteristic, complemented
51C2×#807C2211yescharacteristic, complemented
52#4957—22no—
53#4956—22no—
54#4955—22no—
55#4942—22no—
56#4939C2211yescharacteristic
57#4929C2211yescharacteristic, complemented
58C2×#803C2211yescharacteristic, complemented
59#4881—24no—
60#4772—24no—
61D3×#102—24no—
62#4689—24no—
63C22×AGL(1,ℤ/8)—31no—
64C2×#428—31no—
65C2×#416—31no—
66C22×#102—31no—
67C2×#405—31no—
68#2311—31no—
69#2309—31no—
70#1973—31no—
71#1973—31no—
72#1972—31no—
73#1972—31no—
74#1970—31no—
75#1970D311yescharacteristic, complemented
76#1968—31no—
77#1968—31no—
78C24×D3—21no—
79C22×C3×D4C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C22×#67—21no—
82C22×#67—21no—
83C23×Dic3—21no—
84C2×#237—22no—
85C2×#237—22no—
86C2×#237—22no—
87C2×#237—22no—
88C2×#237—22no—
89C2×#237C2×C414yes—
90C2×D3×D4—22no—
91C2×D3×D4—22no—
92C2×D3×D4—22no—
93C2×D3×D4—22no—
94C2×D3×D4—22no—
95C2×D3×D4C2×C414yes—
96C22×D12C2311yescharacteristic
97C22×C4×D3—21no—
98C22×C4×D3C2311yescharacteristic
99C22×Dic6C2311yescharacteristic
100C2×C3×D8—22no—
101C2×C3×D8—22no—
102C2×C3×D8C2×C414yescomplemented
103C22×C3×C8C2311yescharacteristic
104C22×C3×C8C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C22⋊C4—22no—
108C2×C3×C22⋊C4—22no—
109C2×C3×C42C2311yescharacteristic
110C2×#217—22no—
111C2×#217—22no—
112C2×#214—22no—
113C2×#214—22no—
114C2×#214C2×C414yescomplemented
115C2×#213—22no—
116C2×#213—22no—
117C2×#213C2×C414yescomplemented
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—22no—
120C2×(C2×D3)⋊C4—22no—
121C2×(C2×D3)⋊C4D412yes—
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4D412yes—
126C2×C4×Dic3—21no—
127C2×C4×Dic3C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130#911—232no—
131C2×#204—22no—
132C2×#204—22no—
133C2×#204C2×C414yescomplemented
134C2×ΓL(1,𝔽25)C2×C414yes—
135C2×ΓL(1,𝔽25)D414yes—
136C2×ΓL(1,𝔽25)D414yes—
137C2×D3×C8—22no—
138C2×D3×C8—22no—
139C2×D3×C8D414yes—
140#892—22no—
141#892—22no—
142D3×C4⋊C4—22no—
143D3×C4⋊C4—22no—
144#872—22no—
145#872—22no—
146C3×#107—22no—
147C3×#102—22no—
148C3×#102—22no—
149C3×C4×C8—22no—
150#832—22no—
151#832—22no—
152C3⋊#95—22no—
153C3⋊#95—22no—
154#821—22no—
155#817—22no—
156#816—22no—
157#815—22no—
158C8×Dic3—22no—
159#810—22no—
160#809—22no—
161#808—22no—
162#807—22no—
163#803—22no—
164C22×#41—31no—
165C23×D4—31no—
166C2×AGL(1,ℤ/8)—38no—
167C2×AGL(1,ℤ/8)—64no—
168C2×AGL(1,ℤ/8)—64no—
169C22×SD16—31no—
170C22×SD16—31no—
171C22×D8—31no—
172C22×D8C2×D311yescharacteristic
173C22×M16—31no—
174C23×C8—31no—
175C2×#117—31no—
176C2×#117—31no—
177C22×C4⋊C4—31no—
178#428—64no—
179C2×#107—31no—
180C2×#107C2×D311yescharacteristic, complemented
181C2×#106—31no—
182C2×#106—31no—
183#416—64no—
184C2×#103—31no—
185C2×#103—31no—
186C2×#102—31no—
187C2×#102—31no—
188C2×#102—31no—
189C2×#102—31no—
190C2×#102—64no—
191C2×#102C2×D311yescharacteristic
192C2×#102C2×D311yescharacteristic, complemented
193#405—64no—
194C2×#97—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197C2×C4×C8C2×D311yescharacteristic, complemented
198#391—31no—
199#391—31no—
200#390—31no—
201#390—31no—
202#390—31no—
203#390—31no—
204#390—62no—
205#390C2×D311yescharacteristic
206#390C2×D311yescharacteristic, complemented
207#386—62no—
208#380—62no—
209#379—62no—
210C24×C3—21no—
211C24×C3—21no—
212C23×D3—21no—
213C23×D3—24no—
214C23×D3—42no—
215C23×D3—42no—
216C23×D3—82no—
217C23×D3—82no—
218C23×D3C2×D411yescharacteristic
219C2×C3×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4C22×C412yes—
230C2×C3×D4C22×C412yes—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4C2×D412yes—
234C22×C3×C4C2411yescharacteristic
235C2×#67—24no—
236C2×#67—24no—
237C2×#67—42no—
238C2×#67—42no—
239C2×#67—42no—
240C2×#67—42no—
241C22×Dic3—21no—
242C22×Dic3—24no—
243C22×Dic3—21no—
244C22×Dic3—21no—
245C22×Dic3—42no—
246C22×Dic3—42no—
247C22×Dic3C2×D412yes—
248C22×Dic3C2×D411yescharacteristic
249#237—28no—
250#237—28no—
251#237—44no—
252#237—44no—
253D3×D4—28no—
254D3×D4—28no—
255D3×D4—44no—
256D3×D4—44no—
257C2×D12—21no—
258C2×D12—21no—
259C2×D12—21no—
260C2×D12—21no—
261C2×D12—21no—
262C2×D12C22×C412yes—
263C2×C4×D3—42no—
264C2×C4×D3—82no—
265C2×C4×D3C22×C412yes—
266C2×C4×D3C2×D412yes—
267C2×C4×D3C2×D412yes—
268C2×C4×D3C2×D412yes—
269C2×C4×D3#4112yes—
270C2×C4×D3#4112yes—
271C2×Dic6—21no—
272C2×Dic6—21no—
273C2×Dic6—21no—
274C2×Dic6—21no—
275C2×Dic6—21no—
276C2×Dic6C22×C412yes—
277C3×D8—28no—
278C2×C3×C8—21no—
279C2×C3×C8—21no—
280C2×C3×C8C22×C412yes—
281C2×C3×C8C2×D412yes—
282C2×C3×C8C2×D412yes—
283C2×C3×C8C2×D412yes—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—21no—
286C3×C4⋊C4—21no—
287C3×C4⋊C4—21no—
288C3×C22⋊C4—82no—
289C3×C22⋊C4—82no—
290C3×C42—21no—
291C3×C42—21no—
292#217—82no—
293#217—82no—
294#214—28no—
295#213—28no—
296(C2×D3)⋊C4—24no—
297(C2×D3)⋊C4—42no—
298(C2×D3)⋊C4—82no—
299(C2×D3)⋊C4—82no—
300C4⋊Dic3—21no—
301C4⋊Dic3—21no—
302C4⋊Dic3—21no—
303C4⋊Dic3—21no—
304Dic3⋊C4—24no—
305Dic3⋊C4—42no—
306C4×Dic3—21no—
307C4×Dic3—21no—
308C4×Dic3—42no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8C22×C412yes—
312C2×C3⋊C8C2×D412yes—
313C2×C3⋊C8C2×D412yes—
314C2×C3⋊C8C2×D412yes—
315#204—28no—
316ΓL(1,𝔽25)C22⋊C4116yescomplemented
317D3×C8—28no—
318C25—61no—
319C2×#41—34no—
320C2×#41—62no—
321C2×#41—62no—
322C2×#41—62no—
323C2×#41—62no—
324C2×#41—62no—
325C22×Q8—31no—
326C22×D4—34no—
327C22×D4—31no—
328C22×D4—62no—
329C22×D4—62no—
330C22×D4—62no—
331C22×D4—62no—
332C22×D4—62no—
333C22×D4—61no—
334C22×D4—61no—
335C22×D4C22×D311yescharacteristic
336C22×D4C22×D311yescharacteristic
337C23×C4—31no—
338C23×C4—61no—
339C23×C4—61no—
340AGL(1,ℤ/8)—632no—
341C2×SD16—34no—
342C2×SD16—34no—
343C2×SD16—62no—
344C2×SD16—62no—
345C2×SD16—62no—
346C2×SD16—62no—
347C2×D8—22no—
348C2×D8—22no—
349C2×D8—34no—
350C2×D8—62no—
351C2×D8—62no—
352C2×D8C4×D314yescomplemented
353C2×M16—34no—
354C2×M16—34no—
355C2×M16—34no—
356C22×C8—31no—
357C22×C8—31no—
358C22×C8—34no—
359C22×C8—62no—
360C22×C8—62no—
361C22×C8C22×D311yescharacteristic
362C22×C8C22×D311yescharacteristic
363#117—62no—
364#117—62no—
365#117—62no—
366#117—62no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—62no—
371C2×C4⋊C4—62no—
372C2×C4⋊C4—61no—
373C2×C4⋊C4C22×D311yescharacteristic
374C2×C4⋊C4C22×D311yescharacteristic
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—32no—
378C2×C22⋊C4—61no—
379C2×C22⋊C4—62no—
380C2×C22⋊C4—62no—
381C2×C22⋊C4—62no—
382C2×C22⋊C4—62no—
383C2×C42—31no—
384C2×C42—61no—
385C2×C42C22×D311yescharacteristic
386#107—22no—
387#107—62no—
388#106—62no—
389#106—62no—
390#103—62no—
391#103—62no—
392#102—22no—
393#102—22no—
394#102—62no—
395#102—62no—
396#102—62no—
397#102—62no—
398#97—62no—
399#97—62no—
400C4×C8—22no—
401C4×C8—62no—
402#95—62no—
403#95—62no—
404C23×C3—22no—
405C23×C3—22no—
406C23×C3—41no—
407C23×C3—41no—
408C23×C3—41no—
409C23×C3—41no—
410C23×C3—42no—
411C23×C3—42no—
412C23×C3—42no—
413C23×C3—42no—
414C23×C3C22×D411yescharacteristic
415C22×D3—22no—
416C22×D3—22no—
417C22×D3—22no—
418C22×D3—41no—
419C22×D3—41no—
420C22×D3—42no—
421C22×D3—42no—
422C22×D3—48no—
423C22×D3—88no—
424C22×D3—84no—
425C22×D3—84no—
426C22×D3—88no—
427C22×D3C4×D412yes—
428C22×D3#12112yes—
429C22×D3#12712yes—
430C3×D4—22no—
431C3×D4—22no—
432C3×D4—22no—
433C3×D4—22no—
434C3×D4—41no—
435C3×D4—41no—
436C3×D4—41no—
437C3×D4—41no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—41no—
442C2×C3×C4—41no—
443C2×C3×C4—42no—
444C2×C3×C4—42no—
445C2×C3×C4C23×C411yescharacteristic
446C2×C3×C4C22×D411yescharacteristic
447C2×C3×C4C22×D411yescharacteristic
448C2×C3×C4C22×D411yescharacteristic
449C2×C3×C4C2×#4111yescharacteristic
450C2×C3×C4C2×#4111yescharacteristic
451#67—48no—
452#67—48no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—48no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—42no—
463C2×Dic3—42no—
464C2×Dic3C4×D412yes—
465C2×Dic3#12112yes—
466C2×Dic3#12712yes—
467D12—22no—
468D12—22no—
469D12—41no—
470D12—41no—
471C4×D3—84no—
472C4×D3C2×C22⋊C414yes—
473C4×D3C4×D414yes—
474C4×D3#12114yes—
475C4×D3#12414yes—
476Dic6—22no—
477Dic6—22no—
478Dic6—41no—
479Dic6—41no—
480C3×C8—22no—
481C3×C8C2×C22⋊C414yes—
482C3⋊C8—22no—
483C3⋊C8C2×C22⋊C414yes—
484C24—21no—
485C24—21no—
486C24—31no—
487C24—64no—
488C24—61no—
489C24—122no—
490C24—122no—
491C24—242no—
492C24—242no—
493#41—68no—
494#41—68no—
495#41—124no—
496#41—124no—
497C2×Q8—32no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×Q8—61no—
501C2×Q8—61no—
502C2×Q8—61no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—32no—
514C2×D4—68no—
515C2×D4—68no—
516C2×D4—64no—
517C2×D4—64no—
518C2×D4—61no—
519C2×D4—61no—
520C2×D4—61no—
521C2×D4—61no—
522C2×D4—61no—
523C2×D4—124no—
524C2×D4—124no—
525C2×D4—122no—
526C2×D4—122no—
527C2×D4—122no—
528C2×D4—122no—
529C2×D4C2×C4×D312yes—
530C2×D4C2×C4×D312yes—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—31no—
534C22×C4—32no—
535C22×C4—32no—
536C22×C4—32no—
537C22×C4—32no—
538C22×C4—32no—
539C22×C4—32no—
540C22×C4—32no—
541C22×C4—64no—
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—61no—
545C22×C4—122no—
546C22×C4—122no—
547C22×C4—122no—
548C22×C4—242no—
549C22×C4D3×D412yes—
550C22×C4C23×D311yescharacteristic
551SD16—68no—
552SD16—68no—
553D8—28no—
554D8—68no—
555M16—316no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—32no—
559C2×C8—32no—
560C2×C8—32no—
561C2×C8—32no—
562C2×C8—68no—
563C2×C8—61no—
564C2×C8—61no—
565C2×C8C2×C4×D312yes—
566C2×C8D3×D412yes—
567C2×C8D3×D412yes—
568C2×C8D3×D412yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—64no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—122no—
579C22⋊C4—64no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—122no—
583C22⋊C4—242no—
584C22⋊C4—242no—
585C22⋊C4—242no—
586C22⋊C4—242no—
587C42—21no—
588C42—21no—
589C42—61no—
590C42—61no—
591C42—122no—
592C22×C3—44no—
593C22×C3—44no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3—81no—
597C22×C3—81no—
598C22×C3—81no—
599C22×C3—81no—
600C22×C3—82no—
601C22×C3—82no—
602C22×C3C2×C4×D411yescharacteristic
603C22×C3C2×#12111yescharacteristic
604C22×C3C2×#12711yescharacteristic
605C22×C3#57612yes—
606C22×C3#57712yes—
607C2×D3—22no—
608C2×D3—22no—
609C2×D3—24no—
610C2×D3—24no—
611C2×D3—44no—
612C2×D3—42no—
613C2×D3—816no—
614C2×D3—81no—
615C2×D3—81no—
616C2×D3—82no—
617C2×D3#39014yes—
618C3×C4—42no—
619C3×C4—81no—
620C3×C4—81no—
621C3×C4C22×C22⋊C411yescharacteristic
622C3×C4C2×C4×D411yescharacteristic
623C3×C4C2×#12111yescharacteristic
624C3×C4C2×#12411yescharacteristic
625Dic3—42no—
626Dic3—42no—
627Dic3—81no—
628Dic3—81no—
629Dic3#39014yes—
630C23—22no—
631C23—22no—
632C23—32no—
633C23—32no—
634C23—32no—
635C23—41no—
636C23—41no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—41no—
642C23—41no—
643C23—62no—
644C23—62no—
645C23—62no—
646C23—128no—
647C23—121no—
648C23—122no—
649C23—122no—
650C23—121no—
651C23—248no—
652C23—248no—
653C23—244no—
654C23—244no—
655C23C2×D3×D411yescharacteristic
656Q8—62no—
657Q8—62no—
658Q8—121no—
659Q8—121no—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—41no—
665D4—41no—
666D4—41no—
667D4—41no—
668D4—62no—
669D4—62no—
670D4—128no—
671D4—128no—
672D4—121no—
673D4—121no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—32no—
678C2×C4—32no—
679C2×C4—32no—
680C2×C4—34no—
681C2×C4—34no—
682C2×C4—34no—
683C2×C4—34no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—62no—
691C2×C4—62no—
692C2×C4—128no—
693C2×C4—121no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4—122no—
698C2×C4—122no—
699C2×C4—244no—
700C2×C4C22×C4×D311yescharacteristic
701C2×C4C2×D3×D411yescharacteristic
702C2×C4C2×D3×D411yescharacteristic
703C2×C4C2×D3×D411yescharacteristic
704C2×C4D3×#4111yescharacteristic
705C2×C4D3×#4111yescharacteristic
706C8—22no—
707C8—34no—
708C8—62no—
709C8D3×C22⋊C414yes—
710C2×C3—82no—
711C2×C3—82no—
712C2×C3C2×#39011yescharacteristic
713C2×C3#294612yes—
714C2×C3#306212yes—
715C2×C3#315411yescharacteristic
716C2×C3#315511yescharacteristic
717D3—24no—
718D3—82no—
719C22—34no—
720C22—42no—
721C22—42no—
722C22—44no—
723C22—44no—
724C22—64no—
725C22—62no—
726C22—62no—
727C22—64no—
728C22—82no—
729C22—82no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22—122no—
735C22—124no—
736C22—2416no—
737C22—242no—
738C22—241no—
739C22—241no—
740C22C4×D3×D411yescharacteristic
741C22D3×#12111yescharacteristic
742C22D3×#12711yescharacteristic
743C22#575712yes—
744C22#577012yes—
745C4—34no—
746C4—42no—
747C4—81no—
748C4—81no—
749C4—122no—
750C4—122no—
751C4—241no—
752C4—241no—
753C4C2×D3×C22⋊C411yescharacteristic
754C4C4×D3×D411yescharacteristic
755C4D3×#12111yescharacteristic
756C4D3×#12411yescharacteristic
757C3#2123511yescharacteristic, complemented, Sylow
758C2—64no—
759C2—82no—
760C2—82no—
761C2—242no—
762C2D3×#39011yescharacteristic
763C2#7958712yes—
764C2#8071812yes—
765C2#8178411yescharacteristic
766C2#8182211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1970C2
socleC23×C3C22×D4
prime radicalC22×#911C2
cosocleC22×C3×C4C24
hypercenter#1970D3
hypocenterC3#21235
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1970

Complements

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

NH ≅ G/Ntype
2. C2×#4881C2semidirect
3. C2×#4772C2semidirect
4. C2×D3×#102C2semidirect
5. C2×#4689C2semidirect
6. #76428C2semidirect
7. #76294C2semidirect
8. C3×#1970C2semidirect
9. #72039C2semidirect
10. #70629C2semidirect
11. #70190C2semidirect
12. #70189C2semidirect
13. #69774C2semidirect
14. #69649C2semidirect
15. #69648C2semidirect
24. C2×#911C4semidirect
31. C2×C3×#107C22semidirect
33. C2×C3×#102C22semidirect
34. C2×C3×C4×C8C22semidirect
36. C3×#390C22semidirect
38. #5221C22semidirect
40. C2×#832C22semidirect
42. C2×#817C22semidirect
43. C2×#816C22semidirect
44. C2×#815C22semidirect
45. C2×C8×Dic3C22semidirect
47. #4973C22semidirect
48. C2×#810C22semidirect
50. C2×#808C22semidirect
51. C2×#807C22semidirect
57. #4929C22semidirect
58. C2×#803C22semidirect
75. #1970D3semidirect
102. C2×C3×D8C2×C4semidirect
114. C2×#214C2×C4semidirect
117. C2×#213C2×C4semidirect
133. C2×#204C2×C4semidirect
180. C2×#107C2×D3semidirect
192. C2×#102C2×D3semidirect
197. C2×C4×C8C2×D3semidirect
206. #390C2×D3semidirect
316. ΓL(1,𝔽25)C22⋊C4semidirect
352. C2×D8C4×D3semidirect
757. C3#21235semidirect

Maximal subgroups

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

subgroupindex
C22×#9112
C2×#48812
C2×#47722
C2×D3×#1022
C2×#46892
#764282
#762942
C3×#19702
#720392
#706292
#701902
#701892
#697742
#696492
#696482
#212353