Finite Group Databasebeta

← #6380907

Subgroups — #6380907

Order 512.

2182 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×SD16C211yesmaximal, characteristic
2#34196C211yesmaximal, characteristic, complemented
3#34194C211yesmaximal, characteristic
4#22805C212yesmaximal, complemented
5#22762C212yesmaximal, complemented
6#22759C212yesmaximal, complemented
7C4⋊C4×SD16C212yesmaximal, complemented
8#22609C212yesmaximal, complemented
9#22567C212yesmaximal, complemented
10#22562C212yesmaximal
11C22⋊C4×SD16C212yesmaximal
12#21280C212yesmaximal, complemented
13#21133C212yesmaximal, complemented
14#21131C212yesmaximal, complemented
15#20816C211yesmaximal, characteristic, complemented
16#20740C211yesmaximal, characteristic, complemented
17#20738C211yesmaximal, characteristic
18#20506C212yesmaximal, complemented
19#20476C211yesmaximal, characteristic, complemented
20C23×SD16C2211yescharacteristic
21C22×C4×Q8C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×C4×SD16C4116yescomplemented
24C2×C4×SD16C2214yes—
25C2×C4×SD16C2211yescharacteristic
26C2×C4×SD16C2211yescharacteristic
27C2×C4×SD16C2211yescharacteristic
28C2×C4×SD16C2211yescharacteristic
29C2×C4×SD16C2211yescharacteristic
30C2×C4×SD16C2211yescharacteristic
31C2×C4×SD16C2211yescharacteristic
32C2×C4×SD16C2211yescharacteristic
33C2×#432C2211yescharacteristic
34C22×#106C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×C4×C8C2211yescharacteristic
38#2355—22no—
39#2355C2212yescomplemented
40#2354C2212yes—
41#2352—22no—
42Q8×C4⋊C4C2212yescomplemented
43D4×C4⋊C4C2212yes—
44#2345C2212yes—
45#2344—22no—
46#2344C2212yes—
47#2342—22no—
48Q8×C22⋊C4C2212yes—
49D4×C22⋊C4C2212yes—
50#2320—22no—
51#2320C2212yescomplemented
52#2319C2212yes—
53#2318—22no—
54#2285—21no—
55#2285C2211yescharacteristic
56#2285C2211yescharacteristic
57#2283—21no—
58#2283C2211yescharacteristic
59#2280—21no—
60C2×#380—21no—
61#2276C2212yescomplemented
62#2275C2212yes—
63#1968C2214yes—
64#1941C2214yescomplemented
65#1936C2214yes—
66#1935C2214yescomplemented
67#1927C2214yescomplemented
68#1926C2214yes—
69#1920C2214yescomplemented
70#1919C2214yescomplemented
71#1880C2214yes—
72#1877C2214yes—
73#1865C2214yescomplemented
74#1864C2214yes—
75#1844C2212yescomplemented
76#1834C2212yescomplemented
77#1824C2212yes—
78#1823C2212yes—
79#1807C2212yes—
80#1807C2212yes—
81#1803C2212yescomplemented
82#1803C2212yescomplemented
83#1802C2212yes—
84#1802C2212yes—
85#1787C2212yes—
86#1786C2212yes—
87C4×#106C2214yescomplemented
88C4×#106C2212yescomplemented
89C4×#106C2212yescomplemented
90#1770C2212yescomplemented
91C8×C4⋊C4C2212yescomplemented
92#1763C2212yescomplemented
93#1763C2212yescomplemented
94#1763C2214yescomplemented
95#1762C2212yes—
96#1762C2212yes—
97#1762C2214yes—
98#1752C2212yes—
99C8×C22⋊C4C2212yes—
100#1746C2212yescomplemented
101#1726C2212yescomplemented
102C23×Q8C2311yescharacteristic
103C23×D4C2311yescharacteristic
104C24×C4—21no—
105C22×SD16—28no—
106C22×SD16C2×C418yes—
107C22×SD16C2311yescharacteristic
108C22×SD16C2311yescharacteristic
109C22×SD16C2311yescharacteristic
110C22×SD16C2311yescharacteristic
111C23×C8C2311yescharacteristic
112C23×C8C2311yescharacteristic
113C2×C4×Q8—21no—
114C2×C4×Q8—21no—
115C2×C4×Q8—24no—
116C2×C4×Q8C2×C418yescomplemented
117C2×C4×Q8C2314yes—
118C2×C4×Q8C2311yescharacteristic
119C2×C4×Q8C2311yescharacteristic
120C2×C4×Q8C2311yescharacteristic
121C2×C4×Q8C2311yescharacteristic
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—24no—
125C2×C4×D4C2×C418yes—
126C2×C4×D4C2314yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—22no—
134C2×#117—22no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C22⋊C4—21no—
140C22×C22⋊C4—22no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C4×SD16—216no—
144C4×SD16C2×C418yes—
145C4×SD16C2×C418yes—
146C4×SD16C2×C418yes—
147C4×SD16C2×C418yes—
148C4×SD16C2×C418yescomplemented
149C4×SD16C2×C418yescomplemented
150C4×SD16C2×C418yescomplemented
151C4×SD16C2×C418yescomplemented
152#432—24no—
153C2×#106C2×C418yescomplemented
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×#106C2311yescharacteristic
157C2×#106C2311yescharacteristic
158C2×#106C2311yescharacteristic
159C2×#106C2311yescharacteristic
160C2×C4⋊C8C2312yes—
161C2×#103C2×C418yescomplemented
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2311yescharacteristic
165C2×#103C2311yescharacteristic
166C2×#103C2311yescharacteristic
167C2×#103C2311yescharacteristic
168C2×#102C2×C418yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2311yescharacteristic
172C2×#102C2311yescharacteristic
173C2×#102C2311yescharacteristic
174C2×#102C2311yescharacteristic
175C2×C22⋊C8C2312yes—
176C2×#97C2312yes—
177C2×#97C2314yes—
178C2×C4×C8C2×C418yescomplemented
179C2×C4×C8C2314yes—
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2311yescharacteristic
182C2×C4×C8C2311yescharacteristic
183C2×C4×C8C2311yescharacteristic
184#391—24no—
185#391C2314yes—
186#390C2314yes—
187#389—24no—
188#389C2314yes—
189#389C2314yes—
190#388—24no—
191#388—24no—
192#387—24no—
193#387—24no—
194#387—24no—
195#387—24no—
196#386—24no—
197#385—24no—
198#384—22no—
199#384C2312yes—
200#384C2312yes—
201#383—22no—
202#383D412yes—
203#382—22no—
204#382—21no—
205#382—21no—
206#382—22no—
207#382D412yes—
208#381—22no—
209#381—22no—
210#381D412yes—
211#380—21no—
212#380—21no—
213#380—22no—
214#380—22no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380D411yescharacteristic
219#380D411yescharacteristic
220#380C2312yes—
221#380C2312yes—
222#379—22no—
223C4×C4⋊C4—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—24no—
229C4×C4⋊C4C2312yes—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2314yes—
232C4×C4⋊C4C2314yes—
233C4×C4⋊C4C2312yes—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—24no—
238C4×C22⋊C4C2312yes—
239#376—22no—
240#376C2312yes—
241C2×#95—22no—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#336C2314yes—
249#336C2314yes—
250C25—21no—
251C22×Q8—21no—
252C22×Q8—22no—
253C22×Q8—24no—
254C22×Q8—42no—
255C22×Q8C22×C414yes—
256C22×Q8C2411yescharacteristic
257C22×Q8C2411yescharacteristic
258C22×D4—24no—
259C22×D4—21no—
260C22×D4—22no—
261C22×D4—42no—
262C22×D4C22×C414yes—
263C22×D4C2411yescharacteristic
264C22×D4C2411yescharacteristic
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—28no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—24no—
274C23×C4—84no—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2411yescharacteristic
278C2×SD16—24no—
279C2×SD16—24no—
280C2×SD16—232no—
281C2×SD16—24no—
282C2×SD16C22×C414yes—
283C2×SD16C22×C414yes—
284C2×SD16C22×C414yes—
285C2×SD16C22×C414yes—
286C2×SD16#4118yes—
287C22×C8—24no—
288C22×C8—42no—
289C22×C8C22×C414yes—
290C22×C8C22×C414yes—
291C22×C8C2414yes—
292C22×C8C2411yescharacteristic
293C22×C8C2411yescharacteristic
294C22×C8C2411yescharacteristic
295C22×C8C2411yescharacteristic
296C4×Q8—28no—
297C4×Q8—28no—
298C4×Q8—22no—
299C4×Q8—22no—
300C4×Q8—22no—
301C4×Q8—22no—
302C4×Q8—28no—
303C4×Q8—44no—
304C4×Q8C22×C414yes—
305C4×Q8C22×C414yes—
306C4×Q8C22×C414yes—
307C4×Q8C22×C414yes—
308C4×D4—28no—
309C4×D4—28no—
310C4×D4—28no—
311C4×D4—22no—
312C4×D4—22no—
313C4×D4—22no—
314C4×D4—22no—
315C4×D4—44no—
316C4×D4C22×C414yes—
317C4×D4C22×C414yes—
318C4×D4C22×C414yes—
319C4×D4C22×C414yes—
320#117—84no—
321#117—82no—
322#117—82no—
323#117—84no—
324C2×C4⋊C4—28no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—84no—
341C2×C4⋊C4C22×C414yes—
342C2×C4⋊C4C22×C414yes—
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2414yes—
346C2×C4⋊C4C2414yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C22⋊C4—28no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—84no—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C42—28no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—22no—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42C22×C414yes—
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42#4114yes—
378C2×C42C2414yes—
379C2×C42C2411yescharacteristic
380C2×C42C2411yescharacteristic
381#106—28no—
382#106—44no—
383#106C22×C414yes—
384#106C22×C414yes—
385#106C22×C414yes—
386#106C22×C414yes—
387C4⋊C8—24no—
388#103—28no—
389#103—44no—
390#103C22×C414yes—
391#103C22×C414yes—
392#103C22×C414yes—
393#103C22×C414yes—
394#102—28no—
395#102—44no—
396#102C22×C414yes—
397#102C22×C414yes—
398#102C22×C414yes—
399#102C22×C414yes—
400C22⋊C8—24no—
401#97—24no—
402#97—44no—
403C4×C8—28no—
404C4×C8C22×C414yes—
405C4×C8C22×C414yes—
406C4×C8C22×C414yes—
407C4×C8C22×C414yes—
408#95—22no—
409#95—24no—
410#95—22no—
411#95—24no—
412#95—24no—
413#95—24no—
414#95—24no—
415#95—22no—
416#95—22no—
417#95—24no—
418#95C2×D412yes—
419#95C2×D412yes—
420#95C2×D414yes—
421#95C2×D414yes—
422#95C2×D414yes—
423C24—21no—
424C24—21no—
425C24—24no—
426C24—44no—
427C24—42no—
428C24—42no—
429C24—82no—
430C24C22×D411yescharacteristic
431C2×Q8—24no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×Q8—22no—
435C2×Q8—28no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—48no—
441C2×Q8C23×C412yes—
442C2×Q8C23×C412yes—
443C2×Q8C2×#4114yes—
444C2×D4—28no—
445C2×D4—24no—
446C2×D4—21no—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—44no—
454C2×D4C23×C412yes—
455C2×D4C23×C412yes—
456C2×D4C2×#4114yes—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—44no—
478C22×C4—48no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—816no—
484C22×C4—82no—
485C22×C4—82no—
486C22×C4—84no—
487C22×C4—84no—
488C22×C4—82no—
489C22×C4C4×D414yes—
490C22×C4C4×D414yes—
491C22×C4C23×C412yes—
492C22×C4C22×D414yes—
493C22×C4C22×D414yes—
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D411yescharacteristic
499C22×C4C2×#4112yes—
500C22×C4C2511yescharacteristic
501SD16—28no—
502SD16—28no—
503SD16—28no—
504SD16#117116yescomplemented
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—28no—
509C2×C8—24no—
510C2×C8—24no—
511C2×C8—24no—
512C2×C8—44no—
513C2×C8C23×C412yes—
514C2×C8C23×C412yes—
515C2×C8C23×C412yes—
516C2×C8C23×C412yes—
517C2×C8C2×#4114yes—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—24no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—48no—
535C4⋊C4—44no—
536C4⋊C4—44no—
537C4⋊C4—84no—
538C4⋊C4—82no—
539C4⋊C4—82no—
540C4⋊C4—84no—
541C4⋊C4C23×C412yes—
542C4⋊C4C23×C412yes—
543C4⋊C4C23×C412yes—
544C4⋊C4C23×C412yes—
545C22⋊C4—24no—
546C22⋊C4—24no—
547C22⋊C4—24no—
548C22⋊C4—24no—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—48no—
552C22⋊C4—44no—
553C22⋊C4—44no—
554C22⋊C4—84no—
555C22⋊C4—84no—
556C42—24no—
557C42—24no—
558C42—24no—
559C42—24no—
560C42—24no—
561C42—24no—
562C42—48no—
563C42—82no—
564C42—82no—
565C42—84no—
566C42—84no—
567C42C4×D414yes—
568C42C4×D414yes—
569C42C23×C412yes—
570C42C23×C412yes—
571C42C2×#4112yes—
572C42C2×#4112yes—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23—48no—
579C23—42no—
580C23—41no—
581C23—41no—
582C23—48no—
583C23—42no—
584C23—41no—
585C23—42no—
586C23—41no—
587C23—84no—
588C23—88no—
589C23—88no—
590C23C2×C4×D412yes—
591C23#57712yes—
592C23#57712yes—
593C23C23×D411yescharacteristic
594Q8—22no—
595Q8—24no—
596Q8—22no—
597Q8—22no—
598Q8—48no—
599Q8—42no—
600Q8C2×#11714yes—
601D4—22no—
602D4—22no—
603D4—22no—
604D4—24no—
605D4—48no—
606D4—42no—
607D4C2×#11714yes—
608C2×C4—22no—
609C2×C4—28no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—28no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—48no—
633C2×C4—48no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—48no—
642C2×C4—48no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—84no—
650C2×C4—84no—
651C2×C4—84no—
652C2×C4—168no—
653C2×C4C2×C4×D412yes—
654C2×C4C2×C4×D412yes—
655C2×C4C2×C4×D412yes—
656C2×C4C2×C4×D412yes—
657C2×C4C2×C4×D412yes—
658C2×C4#57714yes—
659C2×C4C24×C411yescharacteristic
660C2×C4C22×#4112yes—
661C2×C4C22×#4111yescharacteristic
662C2×C4#58512yes—
663C8—22no—
664C8—22no—
665C8—22no—
666C8—44no—
667C8C2×#11714yes—
668C22—22no—
669C22—24no—
670C22—24no—
671C22—22no—
672C22—24no—
673C22—42no—
674C22—42no—
675C22—44no—
676C22—44no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—816no—
681C22—82no—
682C22—82no—
683C22#295214yes—
684C22C22×C4×D411yescharacteristic
685C22D4×#4112yes—
686C22C2×#57712yes—
687C22C2×#57711yescharacteristic
688C22C2×#57711yescharacteristic
689C4—22no—
690C4—22no—
691C4—22no—
692C4—22no—
693C4—24no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—44no—
699C4—44no—
700C4—42no—
701C4—84no—
702C4—84no—
703C4#294914yes—
704C4C22×#11711yescharacteristic
705C4#342811yescharacteristic
706C4#347512yes—
707C2—24no—
708C2—44no—
709C2—82no—
710C2D4×#11711yescharacteristic
711C2C2×#294911yescharacteristic
712C2C2×#295211yescharacteristic
713C2#6148112yes—
714C2#6148312yes—
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2283 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34196C2semidirect
4. #22805C2semidirect
5. #22762C2semidirect
6. #22759C2semidirect
7. C4⋊C4×SD16C2semidirect
8. #22609C2semidirect
9. #22567C2semidirect
12. #21280C2semidirect
13. #21133C2semidirect
14. #21131C2semidirect
15. #20816C2semidirect
16. #20740C2semidirect
18. #20506C2semidirect
19. #20476C2semidirect
23. C2×C4×SD16C4semidirect
39. #2355C22semidirect
42. Q8×C4⋊C4C22semidirect
51. #2320C22semidirect
61. #2276C22semidirect
64. #1941C22semidirect
66. #1935C22semidirect
67. #1927C22semidirect
69. #1920C22semidirect
70. #1919C22semidirect
73. #1865C22semidirect
75. #1844C22semidirect
76. #1834C22semidirect
81. #1803C22semidirect
82. #1803C22semidirect
87. C4×#106C22semidirect
88. C4×#106C22semidirect
89. C4×#106C22semidirect
90. #1770C22semidirect
91. C8×C4⋊C4C22semidirect
92. #1763C22semidirect
93. #1763C22semidirect
94. #1763C22semidirect
100. #1746C22semidirect
101. #1726C22semidirect
116. C2×C4×Q8C2×C4semidirect
148. C4×SD16C2×C4semidirect
149. C4×SD16C2×C4semidirect
150. C4×SD16C2×C4semidirect
151. C4×SD16C2×C4semidirect
153. C2×#106C2×C4semidirect
161. C2×#103C2×C4semidirect
178. C2×C4×C8C2×C4semidirect
504. SD16#117semidirect

Maximal subgroups

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

subgroupindex
C22×C4×SD162
#341962
#341942
#228052
#227622
#227592
C4⋊C4×SD162
#226092
#225672
#225622
C22⋊C4×SD162
#212802
#211332
#211312
#208162
#207402
#207382
#205062
#204762