Finite Group Databasebeta

← #6495184

Subgroups — #6495184

Order 512.

1666 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35281C211yesmaximal, characteristic, complemented
2#35277C211yesmaximal, characteristic
3#33293C211yesmaximal, characteristic, complemented
4#33289C211yesmaximal, characteristic, complemented
5#33238C211yesmaximal, characteristic, complemented
6#33227C211yesmaximal, characteristic, complemented
7#30211C214yesmaximal, complemented
8#29151C214yesmaximal, complemented
9#28719C211yesmaximal, characteristic, complemented
10#28718C211yesmaximal, characteristic, complemented
11#28717C211yesmaximal, characteristic, complemented
12#28716C211yesmaximal, characteristic, complemented
13#27984C214yesmaximal, complemented
14#25905C211yesmaximal, characteristic
15#25904C211yesmaximal, characteristic, complemented
16#25903C211yesmaximal, characteristic
17#25902C211yesmaximal, characteristic, complemented
18#21871C214yesmaximal, complemented
19C4×#433C211yesmaximal, characteristic, complemented
20C2×#542C2212yes—
21C2×#533C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C2×#487C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#487C2211yescharacteristic
27C2×#486C2211yescharacteristic
28C2×#486C2211yescharacteristic
29C2×#486C2211yescharacteristic
30C2×#486C2211yescharacteristic
31C2×#433C2212yes—
32#2868C2211yescharacteristic
33#2868C2211yescharacteristic
34#2868C2211yescharacteristic
35#2862C2211yescharacteristic
36#2862C2211yescharacteristic
37#2858C2211yescharacteristic
38#2857C2211yescharacteristic
39#2856C2211yescharacteristic
40#2660C2212yes—
41#2660C2212yes—
42#2640C2212yes—
43#2620C2212yes—
44#2567—21no—
45#2567—21no—
46#2546—21no—
47#2546—21no—
48#2512—21no—
49#2512—21no—
50#2502—21no—
51#2502—21no—
52#2491—21no—
53#2491—21no—
54#2452—21no—
55#2452—21no—
56#2434—21no—
57#2434—21no—
58#2422—21no—
59#2422—21no—
60#2326C2212yes—
61#2317C2212yes—
62#2317C2212yes—
63C4×C4⋊Q8C2211yescharacteristic
64C4×#127C2211yescharacteristic
65C4×#117C2211yescharacteristic
66#2074C2214yes—
67#2073C2214yes—
68#2072C2214yes—
69#2071C2214yes—
70#2026C2214yes—
71#2025C2214yes—
72#2024C2214yes—
73#2023C2214yes—
74#1993C2214yes—
75#1990C2214yes—
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1990C2211yescharacteristic
80#1990C2211yescharacteristic
81#1990C2211yescharacteristic
82#1990C2211yescharacteristic
83#1990C2211yescharacteristic
84#1959C2214yes—
85#1959C2214yes—
86#1958C2214yes—
87#1958C2214yes—
88#1875C2214yes—
89#1874C2214yes—
90#1873C2214yes—
91#1872C2214yes—
92#1836C2214yes—
93#1834C2214yes—
94#1805C2214yes—
95#1804C2214yes—
96#1803C2214yes—
97#1802C2214yes—
98#1768C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100C4×C4⋊C8C2211yescharacteristic
101#1750C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1746C2212yes—
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C23×Q8—21no—
108#542—216no—
109#533—42no—
110#533—42no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8—21no—
119C2×C4⋊Q8—42no—
120C2×C4⋊Q8—42no—
121C2×C4⋊Q8C2311yescharacteristic
122C2×C4⋊Q8C2311yescharacteristic
123C2×C4⋊Q8C2311yescharacteristic
124C2×C4⋊Q8C2311yescharacteristic
125C2×C4⋊Q8C2311yescharacteristic
126C2×C4⋊Q8C2312yes—
127C2×C4⋊Q8C2312yes—
128C2×#127C2311yescharacteristic
129C2×#126—22no—
130C2×#125C2312yes—
131C2×#124—22no—
132C2×#124C2312yes—
133C2×#124C2312yes—
134C2×#123—22no—
135C2×C22⋊Q8—21no—
136C2×C22⋊Q8—21no—
137C2×C22⋊Q8—22no—
138C2×C22⋊Q8C2312yes—
139C2×#121—21no—
140C2×#121—21no—
141C2×#121C2312yes—
142C2×C4×Q8—21no—
143C2×C4×Q8—21no—
144C2×C4×Q8C2312yes—
145C2×C4×D4—21no—
146C2×C4×D4—21no—
147C2×C4×D4C2312yes—
148C2×#117C2312yes—
149C2×#117C2311yescharacteristic
150C2×#117C2311yescharacteristic
151C22×C4⋊C4—21no—
152C22×C4⋊C4C2312yes—
153C22×C42C2311yescharacteristic
154#487—42no—
155#487—42no—
156#487—42no—
157#487—42no—
158#486—42no—
159#486—42no—
160#486—42no—
161#486—42no—
162#433—28no—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2312yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2312yes—
175C2×#97C2312yes—
176C2×#97C2312yes—
177C2×C4×C8C2312yes—
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2311yescharacteristic
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2311yescharacteristic
182C2×C4×C8C2312yes—
183#398—22no—
184#398—22no—
185#398—22no—
186#398—22no—
187#397—22no—
188#397—22no—
189#396—22no—
190#396—22no—
191#395—22no—
192#395—22no—
193#395—22no—
194#395—22no—
195#394—22no—
196#394—22no—
197#393—22no—
198#393—22no—
199#391—21no—
200#391—21no—
201#391—21no—
202#391—21no—
203#391—21no—
204#391—21no—
205#391—21no—
206#391—21no—
207#391C2312yes—
208#391C2312yes—
209#390—21no—
210#390—21no—
211#390—21no—
212#390—21no—
213#390—21no—
214#390—21no—
215#390—21no—
216#390—21no—
217#390C2312yes—
218#390C2312yes—
219#389—22no—
220#389—22no—
221#389—22no—
222#389—22no—
223#389—21no—
224#389—21no—
225#389—21no—
226#389—21no—
227#388—22no—
228#388—22no—
229#385—22no—
230#385—22no—
231#385—22no—
232#385—22no—
233#385—22no—
234#385—22no—
235#384—21no—
236#384—21no—
237#384—21no—
238#384—21no—
239#384—21no—
240#384—21no—
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2312yes—
244#384C2312yes—
245#384C2312yes—
246#384C2312yes—
247#384C2312yes—
248#382C2312yes—
249#382C2312yes—
250#382C2312yes—
251#382C2312yes—
252#380—21no—
253#380—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4D411yescharacteristic
259C4×C4⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264#376C2311yescharacteristic
265#376C2311yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#340C2314yes—
276#336C2312yes—
277#336C2312yes—
278#336C2312yes—
279#336C2312yes—
280C22×Q8—21no—
281C22×Q8—21no—
282C22×Q8—21no—
283C22×Q8—21no—
284C22×Q8—22no—
285C22×Q8—22no—
286C22×Q8—44no—
287C22×Q8—82no—
288C22×Q8—82no—
289C22×Q8C2412yes—
290C22×D4—22no—
291C22×D4—21no—
292C22×D4—21no—
293C22×D4C2412yes—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C4⋊Q8—28no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—42no—
315C4⋊Q8—42no—
316C4⋊Q8—44no—
317C4⋊Q8—44no—
318C4⋊Q8—82no—
319C4⋊Q8—82no—
320C4⋊Q8—82no—
321C4⋊Q8—82no—
322C4⋊Q8—82no—
323C4⋊Q8—82no—
324#127—22no—
325#127—22no—
326#126—48no—
327#125—42no—
328#125—42no—
329#124—28no—
330#124—28no—
331#124—48no—
332#123—48no—
333C22⋊Q8—28no—
334C22⋊Q8—44no—
335C22⋊Q8—44no—
336C22⋊Q8—48no—
337#121—28no—
338#121—82no—
339#121—82no—
340C4×Q8—28no—
341C4×Q8—44no—
342C4×Q8—44no—
343C4×D4—28no—
344C4×D4—82no—
345C4×D4—82no—
346#117—24no—
347#117—42no—
348#117—42no—
349#117#4118yes—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—42no—
378C2×C4⋊C4—42no—
379C2×C4⋊C4—44no—
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D411yescharacteristic
382C2×C4⋊C4C2×D411yescharacteristic
383C2×C4⋊C4C2×D411yescharacteristic
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2412yes—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C22⋊C4C2×D411yescharacteristic
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C4⋊C8—24no—
427C4⋊C8—24no—
428#103—44no—
429#103—44no—
430#103—44no—
431#103—44no—
432#102—44no—
433#102—44no—
434#102—44no—
435#102—44no—
436C22⋊C8—24no—
437C22⋊C8—24no—
438#97—24no—
439#97—24no—
440C4×C8—24no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—22no—
444C4×C8—22no—
445C4×C8—24no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465#95C2×D411yescharacteristic
466C24—22no—
467C24C22×D411yescharacteristic
468C2×Q8—24no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—24no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8—42no—
484C2×Q8—42no—
485C2×Q8—42no—
486C2×Q8—82no—
487C2×Q8—82no—
488C2×Q8—82no—
489C2×Q8—82no—
490C2×Q8—816no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—24no—
495C2×D4—44no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—82no—
503C2×D4—82no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C2×#4114yes—
540C22×C4C2511yescharacteristic
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C4⋊C4—82no—
592C4⋊C4#12414yes—
593C4⋊C4#12414yes—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4#12414yes—
609C22⋊C4#12414yes—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—21no—
621C42—21no—
622C42—22no—
623C42—44no—
624C42—44no—
625C42C2×#4114yes—
626C42C2×#4114yes—
627C42H(5,𝔽2)12yes—
628C42H(5,𝔽2)12yes—
629C422−1+414yes—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23C2×#12412yes—
644C23C23×D411yescharacteristic
645Q8—44no—
646Q8—44no—
647Q8—88no—
648Q8—84no—
649Q8—84no—
650Q8—84no—
651Q8—84no—
652Q8—164no—
653D4—44no—
654D4—44no—
655D4—84no—
656D4—84no—
657D4—164no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—88no—
710C2×C4—164no—
711C2×C4C2×#12412yes—
712C2×C4C2×#12412yes—
713C2×C4C2×#12412yes—
714C2×C4C2×#12412yes—
715C2×C4C2×#12412yes—
716C2×C4#53512yes—
717C2×C4#53512yes—
718C2×C4#53612yes—
719C2×C4#53612yes—
720C2×C4#57612yes—
721C2×C4#57712yes—
722C2×C4#57712yes—
723C2×C4#57812yes—
724C2×C4C22×#4112yes—
725C2×C4C2×H(5,𝔽2)11yescharacteristic
726C2×C4C2×H(5,𝔽2)11yescharacteristic
727C2×C4C2×2−1+412yes—
728C8—42no—
729C8—42no—
730C8—42no—
731C8—42no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22C22×#12411yescharacteristic
747C22C2×#53511yescharacteristic
748C22C2×#53611yescharacteristic
749C22C2×#57611yescharacteristic
750C22C2×#57711yescharacteristic
751C22C2×#57711yescharacteristic
752C22C2×#57811yescharacteristic
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4#322414yes—
772C4#322514yes—
773C4#351112yes—
774C4#351112yes—
775C2—42no—
776C2—162no—
777C2#3528911yescharacteristic
778C2#6062211yescharacteristic
779C2#6062311yescharacteristic
780C2C2×#322411yescharacteristic
781C2C2×#322511yescharacteristic
782C2#6088011yescharacteristic
783C2#6088111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2856C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35281C2semidirect
3. #33293C2semidirect
4. #33289C2semidirect
5. #33238C2semidirect
6. #33227C2semidirect
7. #30211C2semidirect
8. #29151C2semidirect
9. #28719C2semidirect
10. #28718C2semidirect
11. #28717C2semidirect
12. #28716C2semidirect
13. #27984C2semidirect
15. #25904C2semidirect
17. #25902C2semidirect
18. #21871C2semidirect
19. C4×#433C2semidirect

Maximal subgroups

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

subgroupindex
#352812
#352772
#332932
#332892
#332382
#332272
#302112
#291512
#287192
#287182
#287172
#287162
#279842
#259052
#259042
#259032
#259022
#218712
C4×#4332