Finite Group Databasebeta

← #482855

Subgroups — #482855

Order 512.

822 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42392C211yesmaximal, characteristic
2#22477C211yesmaximal, characteristic
3#17422C211yesmaximal, characteristic
4#11897C211yesmaximal, characteristic, complemented
5#11846C211yesmaximal, characteristic, complemented
6#11845C211yesmaximal, characteristic, complemented
7#11823C211yesmaximal, characteristic, complemented
8#11812C211yesmaximal, characteristic, complemented
9#11811C211yesmaximal, characteristic, complemented
10#11784C211yesmaximal, characteristic, complemented
11#11760C211yesmaximal, characteristic, complemented
12#11759C211yesmaximal, characteristic, complemented
13#11728C211yesmaximal, characteristic, complemented
14#11717C211yesmaximal, characteristic, complemented
15#11716C211yesmaximal, characteristic, complemented
16C2×#551C2211yescharacteristic
17C2×#541C411yescharacteristic, complemented
18#2974—21no—
19#2820C411yescharacteristic, complemented
20#2814C411yescharacteristic, complemented
21#2725—21no—
22#2707—21no—
23#2689—21no—
24#2685—21no—
25#2663C411yescharacteristic, complemented
26#2640C411yescharacteristic, complemented
27#2637C411yescharacteristic, complemented
28#2628C2211yescharacteristic
29#2626C2211yescharacteristic
30#2611C2211yescharacteristic
31#2604C411yescharacteristic, complemented
32#2580C2211yescharacteristic
33#2561C2211yescharacteristic
34#2558—21no—
35#2556—21no—
36#2480—21no—
37#2466—21no—
38#2398C2211yescharacteristic
39#2346C411yescharacteristic, complemented
40#2342—21no—
41#1996—21no—
42#1899—21no—
43#1898—21no—
44#1820C2211yescharacteristic
45#1819C2211yescharacteristic
46#1799C2211yescharacteristic
47C4×#99C2211yescharacteristic
48#1740C2211yescharacteristic
49C2×#342C2211yescharacteristic
50#1473—21no—
51#1472—21no—
52#1468—21no—
53#1465C2211yescharacteristic
54#1464C2211yescharacteristic
55#1462C2211yescharacteristic
56#1459C2211yescharacteristic
57#1458C2211yescharacteristic
58C2×#323C2211yescharacteristic
59#1352C2211yescharacteristic
60#1352C2211yescharacteristic
61#1352C2211yescharacteristic
62#1352C2211yescharacteristic
63#1351C2211yescharacteristic
64#1351C2211yescharacteristic
65#1351C2211yescharacteristic
66#1351C2211yescharacteristic
67#1351C2211yescharacteristic
68#1351C2211yescharacteristic
69#1351C2211yescharacteristic
70#1351C2211yescharacteristic
71#1344C2211yescharacteristic
72#1344C2211yescharacteristic
73#1344C2211yescharacteristic
74#1344C2211yescharacteristic
75#551—41no—
76#551—41no—
77#551—41no—
78#551—41no—
79#541—41no—
80#541—41no—
81#541—41no—
82#541—41no—
83C2×C4⋊Q8C2×C411yescharacteristic, complemented
84C2×#126—21no—
85C2×#126—21no—
86C2×#126C2×C411yescharacteristic
87C2×#126D411yescharacteristic
88C2×#125—21no—
89C2×#125—21no—
90C2×#125C2×C411yescharacteristic, complemented
91C2×#124C2×C411yescharacteristic
92C2×#123C2×C411yescharacteristic
93C2×#123D411yescharacteristic
94C2×#123D411yescharacteristic
95C2×C22⋊Q8C2×C411yescharacteristic
96C2×C22⋊Q8C2×C411yescharacteristic
97C2×C22⋊Q8D411yescharacteristic
98C2×C22⋊Q8D411yescharacteristic
99C2×#120D411yescharacteristic
100C2×C4×Q8C2×C411yescharacteristic, complemented
101C2×C4×Q8C2×C411yescharacteristic, complemented
102C2×C4×D4D411yescharacteristic
103C2×C4×D4C2311yescharacteristic
104C2×#117—21no—
105C2×#117C2×C411yescharacteristic
106C2×#117C2311yescharacteristic
107C22×C22⋊C4—21no—
108C22×C22⋊C4D411yescharacteristic
109C22×C22⋊C4C2311yescharacteristic
110#436—41no—
111#435—41no—
112#435—41no—
113C8×D4—41no—
114#432—21no—
115#431—21no—
116C2×#99—21no—
117C2×#99—21no—
118#407—21no—
119#407—21no—
120C2×C22⋊C8—21no—
121C2×C22⋊C8—21no—
122#400—21no—
123#400—21no—
124#400C2×C411yescharacteristic, complemented
125#399—21no—
126#399C2×C411yescharacteristic
127#399C2×C411yescharacteristic, complemented
128#399C2311yescharacteristic
129#398—21no—
130#398—21no—
131#398C2×C411yescharacteristic, complemented
132#397—21no—
133#397—21no—
134#397—21no—
135#397—21no—
136#397C2×C411yescharacteristic
137#397C2×C411yescharacteristic, complemented
138#397C2311yescharacteristic
139#396—21no—
140#396—21no—
141#396—21no—
142#396—21no—
143#396—21no—
144#396—21no—
145#395—21no—
146#395C2×C411yescharacteristic, complemented
147#395C2×C411yescharacteristic, complemented
148#394—21no—
149#394—21no—
150#394—21no—
151#394—21no—
152#393C2×C411yescharacteristic
153#393C2×C411yescharacteristic
154#393C2×C411yescharacteristic, complemented
155#393C2×C411yescharacteristic, complemented
156#393C2311yescharacteristic
157#393C2311yescharacteristic
158#391—21no—
159#390—21no—
160#390—21no—
161#389—21no—
162#389—21no—
163#389—21no—
164#389—21no—
165#389—21no—
166#389—21no—
167#388—21no—
168#388—21no—
169#388—21no—
170#388—21no—
171#388—21no—
172#388—21no—
173#388—21no—
174#388—21no—
175#388—21no—
176#388—41no—
177#388—41no—
178#387—21no—
179#387—21no—
180#387—21no—
181#385—21no—
182#385—21no—
183#385—21no—
184#385—21no—
185#385—41no—
186#382C2×C411yescharacteristic, complemented
187#382C2×C411yescharacteristic, complemented
188#381—21no—
189#381—21no—
190#380—21no—
191#380—21no—
192#380C2×C411yescharacteristic
193#379—21no—
194#379—21no—
195#379—21no—
196C4×C4⋊C4—21no—
197C4×C22⋊C4—21no—
198C4×C22⋊C4—21no—
199C4×C22⋊C4—21no—
200C4×C22⋊C4—41no—
201C4×C22⋊C4C2×C411yescharacteristic
202#376C2×C411yescharacteristic, complemented
203#376C2×C411yescharacteristic, complemented
204#342—21no—
205#342—21no—
206#342—21no—
207#342—21no—
208#342C2311yescharacteristic
209#342C2311yescharacteristic
210#342C2311yescharacteristic
211#342C2311yescharacteristic
212#324—21no—
213#324—21no—
214#324—21no—
215#324—21no—
216#323—21no—
217#323—21no—
218#323C2311yescharacteristic
219#323C2311yescharacteristic
220#323C2311yescharacteristic
221#323C2311yescharacteristic
222C25C2×D411yescharacteristic
223C22×Q8C22⋊C411yescharacteristic
224C22×Q8C22×C411yescharacteristic
225C22×Q8C22×C411yescharacteristic
226C22×D4C22⋊C411yescharacteristic
227C22×D4C22⋊C411yescharacteristic
228C22×D4C2×D411yescharacteristic
229C23×C4—41no—
230C23×C4C22×C411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C23×C4C2×D411yescharacteristic
235C2×M16—41no—
236C2×M16—41no—
237C22×C8—41no—
238C22×C8—41no—
239C4⋊Q8—41no—
240C4⋊Q8—41no—
241#126—41no—
242#126—41no—
243#126—41no—
244#126—41no—
245#126—42no—
246#126—42no—
247#126—41no—
248#126—41no—
249#126—41no—
250#126—41no—
251#125—41no—
252#125—41no—
253#125—42no—
254#125—42no—
255#125—42no—
256#125—42no—
257#124—41no—
258#124—41no—
259#123—41no—
260#123—41no—
261#123—41no—
262#123—41no—
263#123—41no—
264#123—41no—
265C22⋊Q8—41no—
266C22⋊Q8—41no—
267C22⋊Q8—41no—
268C22⋊Q8—41no—
269C22⋊Q8—41no—
270C22⋊Q8—41no—
271C22⋊Q8—41no—
272C22⋊Q8—41no—
273#120—41no—
274#120—41no—
275C4×Q8—41no—
276C4×Q8—41no—
277C4×Q8—41no—
278C4×Q8—41no—
279C4×D4—21no—
280C4×D4—21no—
281C4×D4—21no—
282C4×D4—21no—
283C4×D4—41no—
284C4×D4—41no—
285#117—21no—
286#117—21no—
287#117—21no—
288#117—21no—
289#117—41no—
290#117—41no—
291#117—42no—
292#117—81no—
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—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—41no—
311C2×C4⋊C4—41no—
312C2×C4⋊C4C22⋊C411yescharacteristic
313C2×C4⋊C4C22⋊C411yescharacteristic
314C2×C4⋊C4C22⋊C411yescharacteristic
315C2×C4⋊C4C22⋊C411yescharacteristic
316C2×C4⋊C4C22⋊C411yescharacteristic
317C2×C4⋊C4C22×C411yescharacteristic
318C2×C4⋊C4C22×C411yescharacteristic
319C2×C4⋊C4C22×C411yescharacteristic
320C2×C4⋊C4C2×D411yescharacteristic
321C2×C4⋊C4C2×D411yescharacteristic
322C2×C22⋊C4—21no—
323C2×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—21no—
327C2×C22⋊C4—21no—
328C2×C22⋊C4—21no—
329C2×C22⋊C4—21no—
330C2×C22⋊C4—21no—
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—21no—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
346C2×C22⋊C4—42no—
347C2×C22⋊C4—41no—
348C2×C22⋊C4—41no—
349C2×C22⋊C4—41no—
350C2×C22⋊C4—41no—
351C2×C22⋊C4—41no—
352C2×C22⋊C4—81no—
353C2×C22⋊C4C22⋊C411yescharacteristic
354C2×C22⋊C4C22⋊C411yescharacteristic
355C2×C22⋊C4C22⋊C411yescharacteristic
356C2×C22⋊C4C22⋊C411yescharacteristic
357C2×C22⋊C4C22⋊C411yescharacteristic
358C2×C22⋊C4C22⋊C411yescharacteristic
359C2×C22⋊C4C22⋊C411yescharacteristic
360C2×C22⋊C4C22⋊C411yescharacteristic
361C2×C22⋊C4C22×C411yescharacteristic
362C2×C22⋊C4C22×C411yescharacteristic
363C2×C22⋊C4C2×D411yescharacteristic
364C2×C22⋊C4C2×D411yescharacteristic
365C2×C22⋊C4C2×D411yescharacteristic
366C2×C22⋊C4C2411yescharacteristic
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—21no—
371C2×C42—21no—
372C2×C42—41no—
373C2×C42—41no—
374C2×C42C22×C411yescharacteristic
375C2×C42C22×C411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C4⋊C8—41no—
378C4⋊C8—41no—
379#99—42no—
380#99—81no—
381C22⋊C8—21no—
382C22⋊C8—21no—
383C22⋊C8—21no—
384C22⋊C8—21no—
385C22⋊C8—41no—
386C22⋊C8—41no—
387C22⋊C8—41no—
388C22⋊C8—41no—
389#97—41no—
390C4×C8—41no—
391#95—21no—
392#95—21no—
393#95—21no—
394#95—21no—
395#95—21no—
396#95—21no—
397#95—21no—
398#95—21no—
399#95—21no—
400#95—21no—
401#95—21no—
402#95—21no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—41no—
410#95—41no—
411#95—41no—
412#95—41no—
413#95C22×C411yescharacteristic
414#95C22×C411yescharacteristic
415#95C22×C411yescharacteristic
416#95C22×C411yescharacteristic
417C24—21no—
418C24—21no—
419C24—21no—
420C24—21no—
421C24—41no—
422C24—81no—
423C24—81no—
424C24C2×C22⋊C411yescharacteristic
425C24C2×C22⋊C411yescharacteristic
426C24C2×C22⋊C411yescharacteristic
427C24C22×D411yescharacteristic
428C2×Q8—41no—
429C2×Q8—41no—
430C2×Q8—41no—
431C2×Q8—81no—
432C2×Q8—81no—
433C2×Q8—81no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4—41no—
439C2×D4—41no—
440C2×D4—41no—
441C2×D4—81no—
442C2×D4—81no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—81no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4—81no—
472C22×C4—82no—
473C22×C4—82no—
474C22×C4—161no—
475C22×C4C2×C22⋊C411yescharacteristic
476C22×C4C2×C22⋊C411yescharacteristic
477C22×C4C2×C22⋊C411yescharacteristic
478C22×C4C2×C22⋊C411yescharacteristic
479C22×C4C2×C22⋊C411yescharacteristic
480C22×C4C2×C22⋊C411yescharacteristic
481C22×C4C2×C22⋊C411yescharacteristic
482C22×C4C2×C22⋊C411yescharacteristic
483C22×C4C2×C22⋊C411yescharacteristic
484C22×C4C23×C411yescharacteristic
485C22×C4C22×D411yescharacteristic
486M16—161no—
487M16—161no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—161no—
493C2×C8—161no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4—82no—
528C4⋊C4—161no—
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—22no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C22⋊C4—41no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C22⋊C4—81no—
570C22⋊C4—81no—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—161no—
577C22⋊C4#9911yescharacteristic
578C22⋊C4#9911yescharacteristic
579C22⋊C4#9911yescharacteristic
580C22⋊C4#9911yescharacteristic
581C42—21no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—42no—
588C42—41no—
589C42—41no—
590C42—81no—
591C42—81no—
592C42—81no—
593C42—82no—
594C42—161no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—42no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—81no—
619C23—81no—
620C23—81no—
621C23—161no—
622C23—161no—
623C23—162no—
624C23C2×#9911yescharacteristic
625C23C2×#9911yescharacteristic
626C23C22×C22⋊C411yescharacteristic
627C23#57711yescharacteristic
628C23#57811yescharacteristic
629Q8—82no—
630Q8—82no—
631Q8—161no—
632D4—42no—
633D4—81no—
634D4—81no—
635D4—81no—
636D4—161no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—81no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—81no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4—164no—
709C2×C4C2×#9911yescharacteristic
710C2×C4C2×#9911yescharacteristic
711C2×C4C2×#9911yescharacteristic
712C2×C4C2×#9911yescharacteristic
713C8—81no—
714C8—81no—
715C8—81no—
716C8—81no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—82no—
745C22—82no—
746C22—161no—
747C22—161no—
748C22C22×#9911yescharacteristic
749C22#289811yescharacteristic
750C22#290111yescharacteristic
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—81no—
765C4—81no—
766C4—81no—
767C4—81no—
768C4—82no—
769C4—81no—
770C4—81no—
771C4—81no—
772C4—81no—
773C4—161no—
774C4—161no—
775C4—161no—
776C2—21no—
777C2—21no—
778C2—41no—
779C2—41no—
780C2—41no—
781C2—41no—
782C2—81no—
783C2—81no—
784C2#1760811yescharacteristic
785C2#3334711yescharacteristic
786C2#3336111yescharacteristic
subgroupG/H
center, socleC22C22×#99
commutatorC22×C4C23×C4
Frattini, cosocleC2×C22⋊C4C24
prime radicalC2×#120D4
LCSG ▷ C22×C4 ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×#551 ◁ G
LECSG ▷ C2×C22⋊C4 ▷ C23 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #11897C2semidirect
5. #11846C2semidirect
6. #11845C2semidirect
7. #11823C2semidirect
8. #11812C2semidirect
9. #11811C2semidirect
10. #11784C2semidirect
11. #11760C2semidirect
12. #11759C2semidirect
13. #11728C2semidirect
14. #11717C2semidirect
15. #11716C2semidirect
17. C2×#541C4semidirect
19. #2820C4semidirect
20. #2814C4semidirect
25. #2663C4semidirect
26. #2640C4semidirect
27. #2637C4semidirect
31. #2604C4semidirect
39. #2346C4semidirect
83. C2×C4⋊Q8C2×C4semidirect
90. C2×#125C2×C4semidirect
100. C2×C4×Q8C2×C4semidirect
101. C2×C4×Q8C2×C4semidirect
124. #400C2×C4semidirect
127. #399C2×C4semidirect
131. #398C2×C4semidirect
137. #397C2×C4semidirect
146. #395C2×C4semidirect
147. #395C2×C4semidirect
154. #393C2×C4semidirect
155. #393C2×C4semidirect
186. #382C2×C4semidirect
187. #382C2×C4semidirect
202. #376C2×C4semidirect
203. #376C2×C4semidirect

Maximal subgroups

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

subgroupindex
#423922
#224772
#174222
#118972
#118462
#118452
#118232
#118122
#118112
#117842
#117602
#117592
#117282
#117172
#117162