Finite Group Databasebeta

← #206063

Subgroups — #206063

Order 512.

1062 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
1C2×#3190C211yesmaximal, characteristic
2#21948C211yesmaximal, characteristic, complemented
3#20527C211yesmaximal, characteristic, complemented
4#17582C211yesmaximal, characteristic
5#17578C211yesmaximal, characteristic, complemented
6#17400C211yesmaximal, characteristic
7#17397C211yesmaximal, characteristic, complemented
8#9817C212yesmaximal, complemented
9#9816C212yesmaximal, complemented
10#9814C212yesmaximal, complemented
11#9813C212yesmaximal, complemented
12C2×#525C2211yescharacteristic
13C22×C22⋊Q8C2211yescharacteristic
14#3190—22no—
15#3190—22no—
16#3190—22no—
17#3190—22no—
18C2×#485C411yescharacteristic, complemented
19C2×#485C411yescharacteristic, complemented
20C2×#483C411yescharacteristic, complemented
21C2×#480C411yescharacteristic, complemented
22C2×#467C2211yescharacteristic
23C2×#467C2211yescharacteristic
24C2×#465C2211yescharacteristic
25C2×#465C2211yescharacteristic
26C2×#452C411yescharacteristic, complemented
27C2×#452C411yescharacteristic, complemented
28C2×#451C411yescharacteristic, complemented
29C2×#448C411yescharacteristic, complemented
30C2×#407C2211yescharacteristic
31C2×#407C2211yescharacteristic
32C2×#407C2211yescharacteristic
33C22×C22⋊C8C2211yescharacteristic
34#2280C2211yescharacteristic
35#1855—22no—
36#1855—22no—
37#1810C2212yes—
38#1810C2212yes—
39#1753—22no—
40#1752C2212yes—
41C8×C22⋊C4C2212yes—
42#1750—22no—
43#1520—22no—
44#1516—22no—
45#1513—22no—
46#1511—22no—
47#1508C2212yes—
48#1508C2212yes—
49#1508C2212yes—
50#1507C2212yes—
51#1472—22no—
52#1472C2212yes—
53#1472C2212yes—
54#1472C2212yes—
55#1471C2212yes—
56#1468—22no—
57#1465—22no—
58#1463—22no—
59C22×#41C2×C411yescharacteristic
60C23×Q8C2×C411yescharacteristic
61C24×C4C2311yescharacteristic
62C22×Q16C2×C411yescharacteristic
63C22×Q16C2×C411yescharacteristic
64C22×SD16C2×C411yescharacteristic
65C22×SD16C2×C411yescharacteristic
66C22×M16—21no—
67C22×M16—21no—
68C22×M16—21no—
69C23×C8C2311yescharacteristic
70C23×C8C2311yescharacteristic
71#525—21no—
72#525—21no—
73#525—21no—
74#525—21no—
75#525—21no—
76#525—21no—
77#525—21no—
78#525—21no—
79C2×#123—21no—
80C2×C22⋊Q8—21no—
81C2×C22⋊Q8—21no—
82C2×C22⋊Q8—21no—
83C2×C22⋊Q8—21no—
84C2×C22⋊Q8—21no—
85C2×C22⋊Q8—21no—
86C2×C22⋊Q8—21no—
87C2×C22⋊Q8—21no—
88C2×C22⋊Q8—21no—
89C2×C22⋊Q8—21no—
90C2×C22⋊Q8C2×C411yescharacteristic
91C2×C22⋊Q8C2×C411yescharacteristic
92C2×C22⋊Q8C2×C411yescharacteristic
93C2×C22⋊Q8C2311yescharacteristic
94C2×C22⋊Q8C2311yescharacteristic
95C2×C22⋊Q8C2311yescharacteristic
96C2×#121C2×C411yescharacteristic
97C2×#121C2311yescharacteristic
98C2×#120—21no—
99C2×C4×D4—21no—
100C2×C4×D4—21no—
101C2×#117—21no—
102C2×#117C2×C411yescharacteristic
103C22×C4⋊C4—21no—
104C22×C4⋊C4C2×C411yescharacteristic
105C22×C22⋊C4—21no—
106#485—22no—
107#485—22no—
108#485—22no—
109#485—22no—
110#483—22no—
111#483—22no—
112#480—22no—
113#480—22no—
114#467—22no—
115#467—22no—
116#467—22no—
117#467—22no—
118#465—22no—
119#465—22no—
120#465—22no—
121#465—22no—
122#452—22no—
123#452—22no—
124#452—22no—
125#452—22no—
126#451—22no—
127#451—22no—
128#448—22no—
129#448—22no—
130C2×#108—22no—
131C2×#108—22no—
132C2×#107C2×C411yescharacteristic
133C2×#107C2×C411yescharacteristic
134C2×#106C2×C411yescharacteristic
135C2×#106C2×C411yescharacteristic
136C2×#103C2×C411yescharacteristic
137C2×#103C2×C411yescharacteristic
138C2×#103C2×C411yescharacteristic
139C2×#103C2×C411yescharacteristic
140C2×#103C2×C411yescharacteristic
141C2×#103C2×C411yescharacteristic
142C2×#102C2×C411yescharacteristic
143C2×#102C2×C411yescharacteristic
144#407—21no—
145#407—21no—
146#407—21no—
147#407—21no—
148#407—21no—
149#407—21no—
150#407—21no—
151#407—21no—
152#407D412yes—
153#407D412yes—
154#407C2312yes—
155#407C2312yes—
156C2×C22⋊C8—21no—
157C2×C22⋊C8—21no—
158C2×C22⋊C8—21no—
159C2×C22⋊C8—21no—
160C2×C22⋊C8—21no—
161C2×C22⋊C8C2×C411yescharacteristic
162C2×C22⋊C8C2×C411yescharacteristic
163C2×C22⋊C8C2×C411yescharacteristic
164C2×C22⋊C8C2×C411yescharacteristic
165C2×C22⋊C8D412yes—
166C2×C22⋊C8D412yes—
167C2×C22⋊C8D412yes—
168C2×C22⋊C8D412yes—
169C2×C22⋊C8C2312yes—
170C2×#97—22no—
171C2×C4×C8—22no—
172#381D412yes—
173#380—21no—
174#380D412yes—
175#379—21no—
176C4×C22⋊C4—21no—
177C4×C22⋊C4C2312yes—
178#341—22no—
179#341—22no—
180#336—22no—
181#336—22no—
182#328—24no—
183#328—24no—
184#328—24no—
185#327—24no—
186#324—24no—
187#324—24no—
188#324—24no—
189#323—24no—
190C25#4111yescharacteristic
191C2×#41—21no—
192C2×#41—21no—
193C2×#41—21no—
194C2×#41—21no—
195C2×#41—81no—
196C2×#41—81no—
197C22×Q8—21no—
198C22×Q8—21no—
199C22×Q8—21no—
200C22×Q8—21no—
201C22×Q8—21no—
202C22×Q8—81no—
203C22×Q8—81no—
204C22×Q8C22×C411yescharacteristic
205C22×Q8C22×C411yescharacteristic
206C22×Q8C22×C411yescharacteristic
207C22×D4—21no—
208C22×D4—21no—
209C22×D4—21no—
210C22×D4C22×C411yescharacteristic
211C23×C4—21no—
212C23×C4—21no—
213C23×C4—21no—
214C23×C4—81no—
215C23×C4—81no—
216C23×C4C22×C411yescharacteristic
217C23×C4C22×C411yescharacteristic
218C23×C4C2×D411yescharacteristic
219C23×C4C2×D411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C23×C4C2×D411yescharacteristic
224C23×C4C2×D411yescharacteristic
225C23×C4C2×D411yescharacteristic
226C23×C4#4111yescharacteristic
227C23×C4#4111yescharacteristic
228C23×C4#4111yescharacteristic
229C23×C4C2411yescharacteristic
230C2×Q16—22no—
231C2×Q16—22no—
232C2×Q16—81no—
233C2×Q16—81no—
234C2×SD16—22no—
235C2×SD16—22no—
236C2×SD16—81no—
237C2×SD16—81no—
238C2×M16—22no—
239C2×M16—22no—
240C2×M16—22no—
241C2×M16—22no—
242C2×M16—41no—
243C2×M16—41no—
244C2×M16—81no—
245C2×M16—81no—
246C2×M16—81no—
247C2×M16—81no—
248C2×M16—81no—
249C2×M16—81no—
250C22×C8—22no—
251C22×C8—41no—
252C22×C8—41no—
253C22×C8—81no—
254C22×C8—81no—
255C22×C8C22×C411yescharacteristic
256C22×C8C22×C411yescharacteristic
257C22×C8C22×C411yescharacteristic
258C22×C8C22×C411yescharacteristic
259C22×C8C2×D412yes—
260C22×C8C2×D412yes—
261C22×C8C2×D412yes—
262C22×C8C2×D412yes—
263#123—41no—
264#123—41no—
265#123—41no—
266#123—41no—
267C22⋊Q8—21no—
268C22⋊Q8—21no—
269C22⋊Q8—21no—
270C22⋊Q8—21no—
271C22⋊Q8—21no—
272C22⋊Q8—21no—
273C22⋊Q8—21no—
274C22⋊Q8—21no—
275C22⋊Q8—21no—
276C22⋊Q8—21no—
277C22⋊Q8—21no—
278C22⋊Q8—21no—
279C22⋊Q8—21no—
280C22⋊Q8—21no—
281C22⋊Q8—21no—
282C22⋊Q8—21no—
283C22⋊Q8—21no—
284C22⋊Q8—21no—
285C22⋊Q8—21no—
286C22⋊Q8—21no—
287C22⋊Q8—21no—
288C22⋊Q8—21no—
289C22⋊Q8—21no—
290C22⋊Q8—21no—
291C22⋊Q8—41no—
292C22⋊Q8—41no—
293C22⋊Q8—41no—
294C22⋊Q8—41no—
295C22⋊Q8—41no—
296C22⋊Q8—41no—
297C22⋊Q8—41no—
298C22⋊Q8—41no—
299#121—21no—
300#121—21no—
301#121—21no—
302#121—21no—
303#121—21no—
304#121—21no—
305#121—21no—
306#121—21no—
307#120—41no—
308#120—41no—
309#120—41no—
310#120—41no—
311C4×D4—41no—
312C4×D4—41no—
313C4×D4—41no—
314C4×D4—41no—
315C4×D4—41no—
316C4×D4—41no—
317C4×D4—41no—
318C4×D4—41no—
319#117—21no—
320#117—21no—
321#117—21no—
322#117—21no—
323#117—81no—
324#117—81no—
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—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—41no—
338C2×C4⋊C4—41no—
339C2×C4⋊C4—41no—
340C2×C4⋊C4—41no—
341C2×C4⋊C4C22×C411yescharacteristic
342C2×C4⋊C4C22×C411yescharacteristic
343C2×C4⋊C4C22×C411yescharacteristic
344C2×C4⋊C4C22×C411yescharacteristic
345C2×C22⋊C4—21no—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—21no—
348C2×C22⋊C4—21no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—41no—
358C2×C22⋊C4—41no—
359C2×C22⋊C4—41no—
360C2×C22⋊C4—41no—
361C2×C42—21no—
362C2×C42—22no—
363#108—82no—
364#108—82no—
365#107—22no—
366#107—22no—
367#106—22no—
368#106—22no—
369#103—22no—
370#103—22no—
371#103—22no—
372#103—22no—
373#103—22no—
374#103—22no—
375#102—22no—
376#102—22no—
377C22⋊C8—22no—
378C22⋊C8—22no—
379C22⋊C8—22no—
380C22⋊C8—22no—
381C22⋊C8—22no—
382C22⋊C8—22no—
383C22⋊C8—22no—
384C22⋊C8—41no—
385C22⋊C8—41no—
386C22⋊C8—41no—
387C22⋊C8—41no—
388C22⋊C8C22⋊C412yes—
389C22⋊C8C22⋊C412yes—
390C22⋊C8C22⋊C412yes—
391C22⋊C8C22⋊C412yes—
392C22⋊C8C22⋊C412yes—
393C22⋊C8C22⋊C412yes—
394C22⋊C8C22⋊C412yes—
395C22⋊C8C22⋊C412yes—
396C22⋊C8C2×D414yes—
397#97—82no—
398C4×C8—82no—
399#95—22no—
400#95C2×D414yes—
401C24—21no—
402C24—42no—
403C24—42no—
404C24—81no—
405C24C4×D411yescharacteristic
406C24C4×D411yescharacteristic
407C24#12111yescharacteristic
408C24#12111yescharacteristic
409C24#12411yescharacteristic
410C24#12411yescharacteristic
411C24C2×#4111yescharacteristic
412#41—81no—
413#41—81no—
414#41—81no—
415#41—81no—
416#41—82no—
417#41—82no—
418C2×Q8—21no—
419C2×Q8—21no—
420C2×Q8—21no—
421C2×Q8—21no—
422C2×Q8—21no—
423C2×Q8—21no—
424C2×Q8—41no—
425C2×Q8—41no—
426C2×Q8—41no—
427C2×Q8—41no—
428C2×Q8—41no—
429C2×Q8—41no—
430C2×Q8—41no—
431C2×Q8—41no—
432C2×Q8—81no—
433C2×Q8—81no—
434C2×Q8—81no—
435C2×Q8—81no—
436C2×Q8—82no—
437C2×Q8—82no—
438C2×Q8—82no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—41no—
442C2×D4—41no—
443C2×D4—41no—
444C2×D4—41no—
445C2×D4—41no—
446C2×D4—41no—
447C2×D4—41no—
448C2×D4—41no—
449C2×D4—82no—
450C2×D4—82no—
451C2×D4—82no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4—82no—
488C22×C4—82no—
489C22×C4—82no—
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C4×D411yescharacteristic
495C22×C4C4×D411yescharacteristic
496C22×C4C4×D411yescharacteristic
497C22×C4C4×D411yescharacteristic
498C22×C4C4×D411yescharacteristic
499C22×C4C4×D411yescharacteristic
500C22×C4#12111yescharacteristic
501C22×C4#12111yescharacteristic
502C22×C4#12111yescharacteristic
503C22×C4#12111yescharacteristic
504C22×C4#12111yescharacteristic
505C22×C4#12111yescharacteristic
506C22×C4#12411yescharacteristic
507C22×C4#12411yescharacteristic
508C22×C4#12711yescharacteristic
509C22×C4#12711yescharacteristic
510C22×C4#12711yescharacteristic
511C22×C4#12711yescharacteristic
512C22×C4C23×C411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C2×#4111yescharacteristic
518Q16—82no—
519Q16—82no—
520SD16—82no—
521SD16—82no—
522M16—42no—
523M16—42no—
524M16—42no—
525M16—42no—
526M16—82no—
527M16—82no—
528M16—82no—
529M16—82no—
530C2×C8—24no—
531C2×C8—42no—
532C2×C8—42no—
533C2×C8—42no—
534C2×C8—42no—
535C2×C8—41no—
536C2×C8—41no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—42no—
540C2×C8—42no—
541C2×C8—42no—
542C2×C8—42no—
543C2×C8—82no—
544C2×C8—82no—
545C2×C8C2×C22⋊C412yes—
546C2×C8C2×C22⋊C412yes—
547C2×C8C2×C22⋊C412yes—
548C2×C8C2×C22⋊C412yes—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4—41no—
561C4⋊C4—41no—
562C4⋊C4—41no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—82no—
572C22⋊C4—44no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C42—42no—
594C42—42no—
595C42—41no—
596C42—41no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—88no—
623C23#39011yescharacteristic
624C23#39011yescharacteristic
625C23#39011yescharacteristic
626C23#39011yescharacteristic
627C23C2×C4×D411yescharacteristic
628C23C2×#12111yescharacteristic
629C23C2×#12411yescharacteristic
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—81no—
637Q8—81no—
638Q8—81no—
639Q8—82no—
640Q8—82no—
641D4—41no—
642D4—41no—
643D4—81no—
644D4—82no—
645D4—82no—
646D4—82no—
647D4—82no—
648D4—82no—
649D4—82no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—41no—
665C2×C4—41no—
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—44no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—44no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4#39011yescharacteristic
709C2×C4#39011yescharacteristic
710C2×C4#39011yescharacteristic
711C2×C4#39011yescharacteristic
712C2×C4C22×C22⋊C411yescharacteristic
713C2×C4C2×C4×D411yescharacteristic
714C2×C4C2×#12111yescharacteristic
715C2×C4C2×#12711yescharacteristic
716C8—22no—
717C8—22no—
718C8—22no—
719C8—22no—
720C8—44no—
721C8—82no—
722C8—82no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—44no—
743C22—44no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—81no—
750C22—81no—
751C22—81no—
752C22—162no—
753C22C2×#39011yescharacteristic
754C22#295712yes—
755C22#306912yes—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—21no—
760C4—21no—
761C4—21no—
762C4—21no—
763C4—84no—
764C4—81no—
765C4—81no—
766C4—81no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4#288311yescharacteristic
772C4#288311yescharacteristic
773C2—22no—
774C2—22no—
775C2—41no—
776C2—41no—
777C2—41no—
778C2—41no—
779C2—41no—
780C2—161no—
781C2#2121311yescharacteristic
782C2#2124011yescharacteristic
783C2#2125011yescharacteristic
subgroupG/H
center, socleC22C2×#390
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC2×#525C22
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21948C2semidirect
3. #20527C2semidirect
5. #17578C2semidirect
7. #17397C2semidirect
8. #9817C2semidirect
9. #9816C2semidirect
10. #9814C2semidirect
11. #9813C2semidirect
18. C2×#485C4semidirect
19. C2×#485C4semidirect
20. C2×#483C4semidirect
21. C2×#480C4semidirect
26. C2×#452C4semidirect
27. C2×#452C4semidirect
28. C2×#451C4semidirect
29. C2×#448C4semidirect

Maximal subgroups

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

subgroupindex
C2×#31902
#219482
#205272
#175822
#175782
#174002
#173972
#98172
#98162
#98142
#98132