Finite Group Databasebeta

← #362770

Subgroups — #362770

Order 512.

2786 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#554C211yesmaximal, characteristic
2C2×#1992C211yesmaximal, characteristic, complemented
3C2×#1989C211yesmaximal, characteristic, complemented
4C2×#1985C211yesmaximal, characteristic, complemented
5C2×#1802C211yesmaximal, characteristic
6C2×#1762C211yesmaximal, characteristic
7#13926C211yesmaximal, characteristic, complemented
8#11385C212yesmaximal, complemented
9#11384C212yesmaximal, complemented
10#10788C212yesmaximal
11#10788C212yesmaximal
12C2×#554—24no—
13C2×#554—24no—
14C2×#554—24no—
15C2×#554—24no—
16C2×#554—24no—
17C2×#554C418yescomplemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×#125C2211yescharacteristic
20C22×#125C2211yescharacteristic
21C22×C22⋊Q8—21no—
22C22×C22⋊Q8—21no—
23C22×C22⋊Q8—21no—
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26C22×C4×D4C2211yescharacteristic
27C22×C4×D4C2211yescharacteristic
28C23×C4⋊C4—21no—
29C22×C4⋊C8C2211yescharacteristic
30C22×#102C2212yes—
31C22×#102C2212yes—
32C22×#97C2211yescharacteristic
33C2×#391—21no—
34C2×#384C2211yescharacteristic
35C2×C4×C4⋊C4C2211yescharacteristic
36#1992—24no—
37#1989—24no—
38#1985—24no—
39#1802—24no—
40#1762—24no—
41C2×#340C2212yes—
42C2×#340C2212yes—
43C2×#340C2212yes—
44C2×#340C2212yes—
45C2×#340C2212yes—
46C2×#340C2212yes—
47C2×#336C2212yes—
48C2×#336C2212yes—
49#1441—21no—
50#1441—21no—
51C4⋊#95—21no—
52C4⋊#95C2212yes—
53C4⋊#95C2212yes—
54C23×Q8—21no—
55C23×Q8D411yescharacteristic
56C23×D4C2311yescharacteristic
57C24×C4—21no—
58C24×C4—21no—
59C24×C4—21no—
60C23×C8C2312yes—
61C23×C8C2312yes—
62#554—232no—
63#554—232no—
64#554—232no—
65#554—232no—
66C2×C4⋊Q8—22no—
67C2×C4⋊Q8—22no—
68C2×C4⋊Q8—22no—
69C2×C4⋊Q8—22no—
70C2×C4⋊Q8—22no—
71C2×C4⋊Q8C2×C414yes—
72C2×#125—22no—
73C2×#125—22no—
74C2×#125—22no—
75C2×#125—22no—
76C2×#125—22no—
77C2×#125—22no—
78C2×#125—22no—
79C2×#125—22no—
80C2×#125C2×C414yes—
81C2×#125C2×C414yes—
82C2×#125D414yes—
83C2×#125D414yes—
84C2×C22⋊Q8—28no—
85C2×C22⋊Q8—28no—
86C2×C22⋊Q8—28no—
87C2×C22⋊Q8—28no—
88C2×C22⋊Q8—28no—
89C2×C22⋊Q8—28no—
90C2×C22⋊Q8—28no—
91C2×C22⋊Q8—28no—
92C2×C22⋊Q8—28no—
93C2×C4×Q8—22no—
94C2×C4×Q8—22no—
95C2×C4×Q8—22no—
96C2×C4×Q8—22no—
97C2×C4×Q8C2×C414yes—
98C2×C4×Q8D414yes—
99C2×C4×D4—22no—
100C2×C4×D4—22no—
101C2×C4×D4—22no—
102C2×C4×D4—22no—
103C2×C4×D4—22no—
104C2×C4×D4—22no—
105C2×C4×D4—22no—
106C2×C4×D4—22no—
107C2×C4×D4—22no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—22no—
111C2×C4×D4—22no—
112C2×C4×D4C2×C414yes—
113C2×C4×D4C2×C414yes—
114C2×C4×D4C2×C414yes—
115C2×C4×D4D414yes—
116C2×C4×D4D414yes—
117C22×C4⋊C4—28no—
118C22×C4⋊C4—28no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4—28no—
125C22×C4⋊C4—21no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4D411yescharacteristic
128C22×C4⋊C4D411yescharacteristic
129C22×C4⋊C4D411yescharacteristic
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2312yes—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C42—21no—
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C2×C4⋊C8—22no—
143C2×C4⋊C8—22no—
144C2×C4⋊C8—22no—
145C2×#102—24no—
146C2×#102—24no—
147C2×#102—24no—
148C2×#102—24no—
149C2×#102—24no—
150C2×#102Q818yescomplemented
151C2×#97—22no—
152C2×#97—22no—
153C2×#97—22no—
154#391—44no—
155#384—22no—
156#384—22no—
157C4×C4⋊C4—22no—
158C4×C4⋊C4—22no—
159C2×#95—22no—
160C2×#95—22no—
161C2×#95—21no—
162C2×#95—22no—
163C2×#95—22no—
164#340—24no—
165#340—24no—
166#340—24no—
167#340—24no—
168#340—24no—
169#340—24no—
170#336—24no—
171#336—24no—
172C25—21no—
173C22×Q8—24no—
174C22×Q8—24no—
175C22×Q8—24no—
176C22×Q8—22no—
177C22×Q8—22no—
178C22×Q8—22no—
179C22×Q8—22no—
180C22×Q8—41no—
181C22×Q8—41no—
182C22×Q8—82no—
183C22×Q8—82no—
184C22×Q8C22⋊C414yes—
185C22×D4—21no—
186C22×D4—21no—
187C22×D4—21no—
188C22×D4—22no—
189C22×D4—22no—
190C22×D4C22×C412yes—
191C22×D4C2×D412yes—
192C22×D4C2×D412yes—
193C22×D4C2×Q814yes—
194C22×D4#4114yes—
195C23×C4—24no—
196C23×C4—24no—
197C23×C4—21no—
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—24no—
201C23×C4—24no—
202C23×C4—24no—
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—42no—
210C23×C4—42no—
211C23×C4—42no—
212C23×C4—42no—
213C23×C4—82no—
214C23×C4—82no—
215C23×C4—82no—
216C23×C4—82no—
217C23×C4C2×D411yescharacteristic
218C23×C4C2×D411yescharacteristic
219C23×C4C2×D411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C23×C4C2411yescharacteristic
224C22×C8—22no—
225C22×C8—22no—
226C22×C8—22no—
227C22×C8—22no—
228C22×C8—22no—
229C22×C8—22no—
230C22×C8—22no—
231C22×C8—22no—
232C22×C8—22no—
233C22×C8—22no—
234C22×C8—22no—
235C22×C8—22no—
236C22×C8—22no—
237C22×C8C2×Q814yes—
238C4⋊Q8—28no—
239C4⋊Q8—28no—
240C4⋊Q8—28no—
241C4⋊Q8—28no—
242#125—28no—
243#125—28no—
244#125—28no—
245#125—28no—
246#125—28no—
247#125—28no—
248#125—28no—
249#125C22⋊C4116yes—
250C22⋊Q8—264no—
251C22⋊Q8—264no—
252C22⋊Q8—264no—
253C4×Q8—28no—
254C4×Q8—28no—
255C4×Q8—28no—
256C4×Q8—28no—
257C4×D4—28no—
258C4×D4—28no—
259C4×D4—28no—
260C4×D4—28no—
261C4×D4—28no—
262C4×D4—28no—
263C4×D4—28no—
264C4×D4—28no—
265C4×D4—28no—
266C4×D4—28no—
267C4×D4—28no—
268C4×D4C22⋊C4116yes—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—264no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—42no—
312C2×C4⋊C4—42no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—82no—
316C2×C4⋊C4C22⋊C414yes—
317C2×C4⋊C4C22⋊C414yes—
318C2×C4⋊C4C22⋊C414yes—
319C2×C4⋊C4C22×C412yes—
320C2×C4⋊C4C22×C412yes—
321C2×C4⋊C4C22×C412yes—
322C2×C4⋊C4C2×D412yes—
323C2×C4⋊C4C2×D412yes—
324C2×C4⋊C4C2×D412yes—
325C2×C4⋊C4C2×D412yes—
326C2×C4⋊C4C2×D412yes—
327C2×C4⋊C4C2×D412yes—
328C2×C4⋊C4C2×Q814yes—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C42—21no—
339C2×C42—21no—
340C2×C42—21no—
341C2×C42—21no—
342C2×C42—21no—
343C2×C42—21no—
344C2×C42—21no—
345C2×C42—21no—
346C2×C42—42no—
347C2×C42—42no—
348C2×C42—42no—
349C2×C42C22×C412yes—
350C2×C42C22×C412yes—
351C2×C42C22×C412yes—
352C2×C42C2×D412yes—
353C2×C42C2×D412yes—
354C2×C42C2×D412yes—
355C2×C42C2×D412yes—
356C2×C42C2×D412yes—
357C2×C42C2×D412yes—
358C2×C42C2×D412yes—
359C4⋊C8—44no—
360#102—216no—
361#102—48no—
362#97—44no—
363#95—44no—
364#95—42no—
365#95—44no—
366#95—82no—
367#95—82no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—24no—
372C24—24no—
373C24—41no—
374C24—41no—
375C24—41no—
376C24—41no—
377C24—42no—
378C24—42no—
379C24C22×D411yescharacteristic
380C2×Q8—216no—
381C2×Q8—28no—
382C2×Q8—28no—
383C2×Q8—44no—
384C2×Q8—44no—
385C2×Q8—44no—
386C2×Q8—44no—
387C2×Q8—44no—
388C2×Q8—88no—
389C2×Q8—84no—
390C2×Q8—84no—
391C2×Q8—88no—
392C2×D4—22no—
393C2×D4—24no—
394C2×D4—22no—
395C2×D4—22no—
396C2×D4—24no—
397C2×D4—22no—
398C2×D4—22no—
399C2×D4—24no—
400C2×D4—24no—
401C2×D4—24no—
402C2×D4—24no—
403C2×D4—24no—
404C2×D4—24no—
405C2×D4C2×C22⋊C414yes—
406C2×D4C4×Q818yes—
407C2×D4C22⋊Q818yes—
408C2×D4#12414yes—
409C2×D4C4⋊Q814yes—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—216no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—24no—
447C22×C4—48no—
448C22×C4—48no—
449C22×C4—48no—
450C22×C4—48no—
451C22×C4—48no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—48no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—88no—
475C22×C4—84no—
476C22×C4—84no—
477C22×C4—88no—
478C22×C4—88no—
479C22×C4—84no—
480C22×C4—84no—
481C22×C4—88no—
482C22×C4C2×C22⋊C412yes—
483C22×C4C2×C22⋊C412yes—
484C22×C4C2×C22⋊C412yes—
485C22×C4C2×C22⋊C412yes—
486C22×C4C2×C22⋊C412yes—
487C22×C4C2×C22⋊C412yes—
488C22×C4#12012yes—
489C22×C4#12012yes—
490C22×C4#12012yes—
491C22×C4#12012yes—
492C22×C4AGL(1,ℤ/8)12yes—
493C22×C4#13712yes—
494C22×C4C23×C411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D411yescharacteristic
499C22×C4C22×D411yescharacteristic
500C22×C4C22×Q812yes—
501C22×C4C2×#4112yes—
502C22×C42−1+412yes—
503C22×C42−1+412yes—
504C2×C8—24no—
505C2×C8—24no—
506C2×C8—24no—
507C2×C8—42no—
508C2×C8—42no—
509C2×C8—42no—
510C2×C8—42no—
511C2×C8—42no—
512C2×C8—42no—
513C2×C8—42no—
514C2×C8—42no—
515C2×C8—42no—
516C2×C8—42no—
517C2×C8—42no—
518C4⋊C4—216no—
519C4⋊C4—216no—
520C4⋊C4—216no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—28no—
531C4⋊C4—216no—
532C4⋊C4—216no—
533C4⋊C4—28no—
534C4⋊C4—28no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—84no—
544C4⋊C4—84no—
545C4⋊C4C2×C22⋊C414yes—
546C4⋊C4C2×C22⋊C414yes—
547C4⋊C4C2×C22⋊C414yes—
548C22⋊C4—216no—
549C22⋊C4—216no—
550C22⋊C4—216no—
551C42—22no—
552C42—22no—
553C42—22no—
554C42—22no—
555C42—22no—
556C42—22no—
557C42—22no—
558C42—22no—
559C42—84no—
560C42C2×C22⋊C414yes—
561C42C2×C22⋊C414yes—
562C42#12014yes—
563C42#12014yes—
564C23—28no—
565C23—28no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—44no—
570C23—44no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—42no—
578C23—42no—
579C23—44no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—44no—
587C23C22×C22⋊C411yescharacteristic
588C23C2×#12011yescharacteristic
589C23C2×#12011yescharacteristic
590C23#54812yes—
591C23D4×Q812yes—
592C23C2×AGL(1,ℤ/8)11yescharacteristic
593C23C2×#13711yescharacteristic
594C23#57511yescharacteristic
595C23#57511yescharacteristic
596C23#57612yes—
597C23#57712yes—
598Q8—416no—
599Q8—816no—
600D4—24no—
601D4—28no—
602D4—28no—
603D4—24no—
604D4—24no—
605D4#39118yescomplemented
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—432no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—816no—
661C2×C4—816no—
662C2×C4—82no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4—82no—
670C2×C4—82no—
671C2×C4—82no—
672C2×C4—82no—
673C2×C4#37914yes—
674C2×C4#37914yes—
675C2×C4#41714yes—
676C2×C4C22×C22⋊C411yescharacteristic
677C2×C4C22×C22⋊C411yescharacteristic
678C2×C4C2×C4×Q812yes—
679C2×C4#51912yes—
680C2×C4C2×#12011yescharacteristic
681C2×C4C2×#12011yescharacteristic
682C2×C4C2×C22⋊Q812yes—
683C2×C4C2×#12411yescharacteristic
684C2×C4C2×C4⋊Q811yescharacteristic
685C2×C4#53612yes—
686C2×C4#53611yescharacteristic
687C2×C4#53611yescharacteristic
688C2×C4#54812yes—
689C2×C4#54812yes—
690C2×C4#54812yes—
691C2×C4D4×Q812yes—
692C2×C4D4×Q812yes—
693C2×C4D4×Q812yes—
694C8—44no—
695C8—82no—
696C22—28no—
697C22—48no—
698C22—48no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—48no—
704C22—44no—
705C22—44no—
706C22—48no—
707C22C2×#37911yescharacteristic
708C22Q8×C22⋊C412yes—
709C22#240912yes—
710C22#243411yescharacteristic
711C22#243611yescharacteristic
712C22C2×#41711yescharacteristic
713C22#289611yescharacteristic
714C22#289712yes—
715C22#300611yescharacteristic
716C22#300611yescharacteristic
717C22#300711yescharacteristic
718C22#300711yescharacteristic
719C22#300811yescharacteristic
720C22#300911yescharacteristic
721C22#301212yes—
722C22#336612yes—
723C22#337012yes—
724C22#337212yes—
725C22#337612yes—
726C22#338412yes—
727C22#338512yes—
728C22#338812yes—
729C22#338912yes—
730C4—24no—
731C4—24no—
732C4—24no—
733C4—42no—
734C4—44no—
735C4—42no—
736C4—42no—
737C4—44no—
738C4—44no—
739C4—84no—
740C4—162no—
741C4C2×#39111yescharacteristic
742C4#231011yescharacteristic
743C4Q8×C22⋊C412yes—
744C4#240912yes—
745C4#243411yescharacteristic
746C4#243611yescharacteristic
747C2—48no—
748C2#1392211yescharacteristic
749C2#2060111yescharacteristic
750C2#2060211yescharacteristic
751C2#2252212yes—
752C2#2252612yes—
753C2#2434712yes—
754C2#2434912yes—
755C2#2585011yescharacteristic
756C2#2585111yescharacteristic
757C2#2594511yescharacteristic
758C2#2594611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×Q8 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1992C2semidirect
3. C2×#1989C2semidirect
4. C2×#1985C2semidirect
7. #13926C2semidirect
8. #11385C2semidirect
9. #11384C2semidirect
17. C2×#554C4semidirect
150. C2×#102Q8semidirect
605. D4#391semidirect

Maximal subgroups

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

subgroupindex
C22×#5542
C2×#19922
C2×#19892
C2×#19852
C2×#18022
C2×#17622
#139262
#113852
#113842
#107882