Finite Group Databasebeta

← #356154

Subgroups — #356154

Order 512.

1398 conjugacy classes of subgroups.

The subgroup lattice has 775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2924C211yesmaximal, characteristic
2C2×#1826C211yesmaximal, characteristic
3C2×#1753C211yesmaximal, characteristic
4#20379C211yesmaximal, characteristic
5#20347C211yesmaximal, characteristic
6#10887C211yesmaximal, characteristic, complemented
7#10887C211yesmaximal, characteristic, complemented
8#10883C211yesmaximal, characteristic, complemented
9#10882C211yesmaximal, characteristic, complemented
10#10809C211yesmaximal, characteristic, complemented
11#10809C211yesmaximal, characteristic, complemented
12#10733C211yesmaximal, characteristic
13#10724C211yesmaximal, characteristic
14#10707C211yesmaximal, characteristic, complemented
15#10706C211yesmaximal, characteristic, complemented
16C23×M16C2211yescharacteristic
17C22×#117C2211yescharacteristic
18C22×#117C2211yescharacteristic
19#2924—24no—
20#2924C418yescomplemented
21C2×#433—21no—
22C2×#433—21no—
23C2×#432—21no—
24C2×#431—21no—
25C2×#424C2211yescharacteristic
26C2×#424C2211yescharacteristic
27C2×#407C2211yescharacteristic
28C2×#407C2211yescharacteristic
29C22×C22⋊C8C2211yescharacteristic
30C2×#405C2211yescharacteristic
31C2×#405C2211yescharacteristic
32C2×#405C2211yescharacteristic
33C2×#405C2211yescharacteristic
34C22×#97C2211yescharacteristic
35C22×C4×C8C2211yescharacteristic
36C2×C4×C22⋊C4C2211yescharacteristic
37#1826C418yescomplemented
38#1753—24no—
39#1750—21no—
40#1750—21no—
41#1749—21no—
42C4×C22⋊C8—21no—
43C2×#341C2211yescharacteristic
44C2×#341C2211yescharacteristic
45C2×#341C2211yescharacteristic
46C2×#341C2211yescharacteristic
47#1736C412yescomplemented
48#1736C412yescomplemented
49#1736C412yescomplemented
50#1736C412yescomplemented
51#1735C2211yescharacteristic
52#1735C2211yescharacteristic
53#1735C2211yescharacteristic
54#1735C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60C2×#339C2211yescharacteristic
61C2×#339C2211yescharacteristic
62C2×#339C2211yescharacteristic
63#1729C2211yescharacteristic
64#1729C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C24×C4C2311yescharacteristic
68C22×M16—22no—
69C22×M16—22no—
70C22×M16—22no—
71C22×M16—22no—
72C22×M16—41no—
73C22×M16—41no—
74C22×M16C2×C412yes—
75C22×M16C2×C412yes—
76C22×M16C2311yescharacteristic
77C22×M16C2311yescharacteristic
78C22×M16C2311yescharacteristic
79C22×M16C2311yescharacteristic
80C23×C8C2311yescharacteristic
81C23×C8C2311yescharacteristic
82C23×C8C2311yescharacteristic
83C23×C8C2311yescharacteristic
84C2×#117—21no—
85C2×#117—22no—
86C2×#117—22no—
87C2×#117—21no—
88C2×#117—21no—
89C2×#117—21no—
90C2×#117—22no—
91C2×#117—22no—
92C2×#117—41no—
93C2×#117—41no—
94C2×#117C2×C414yes—
95C2×#117C2×C414yes—
96C2×#117C2×C412yes—
97C2×#117C2×C411yescharacteristic
98C2×#117C2×C411yescharacteristic
99C2×#117C2311yescharacteristic
100C2×#117C2311yescharacteristic
101C2×#117C2311yescharacteristic
102C2×#117C2311yescharacteristic
103C22×C4⋊C4C2×C412yes—
104C22×C4⋊C4C2×C411yescharacteristic
105C22×C4⋊C4C2×C411yescharacteristic
106C22×C22⋊C4—21no—
107C22×C22⋊C4—21no—
108C22×C22⋊C4—21no—
109C22×C42—21no—
110C22×C42—21no—
111C22×C42C2311yescharacteristic
112C22×C42C2311yescharacteristic
113#433—28no—
114#433—28no—
115#432—28no—
116#431—28no—
117#424—22no—
118#424—22no—
119#424C2×C414yescomplemented
120#424C2×C414yescomplemented
121C2×C4⋊C8—21no—
122C2×C4⋊C8—21no—
123C2×C4⋊C8—21no—
124C2×C4⋊C8—21no—
125#407—22no—
126#407—22no—
127#407C2×C414yes—
128#407C2×C414yes—
129C2×C22⋊C8—21no—
130C2×C22⋊C8—21no—
131C2×C22⋊C8—21no—
132C2×C22⋊C8—21no—
133C2×C22⋊C8C2×C414yes—
134C2×C22⋊C8D411yescharacteristic
135C2×C22⋊C8D411yescharacteristic
136C2×C22⋊C8D411yescharacteristic
137C2×C22⋊C8D411yescharacteristic
138C2×C22⋊C8D414yes—
139#405—22no—
140#405—22no—
141#405—22no—
142#405—22no—
143#405—41no—
144#405—41no—
145#405C2×C414yescomplemented
146#405C2×C414yescomplemented
147C2×#97—21no—
148C2×#97—21no—
149C2×#97—22no—
150C2×#97—21no—
151C2×#97—21no—
152C2×#97—22no—
153C2×#97—41no—
154C2×C4×C8—21no—
155C2×C4×C8—21no—
156C2×C4×C8—22no—
157C2×C4×C8—21no—
158C2×C4×C8—21no—
159C2×C4×C8—22no—
160C2×C4×C8—41no—
161C4×C22⋊C4—22no—
162C4×C22⋊C4C2×C414yes—
163C2×#95—21no—
164#341—22no—
165#341—22no—
166#341—41no—
167#341—41no—
168#340C2×C412yes—
169#340C2×C412yes—
170#340C2×C412yes—
171#340C2×C412yes—
172#340C2×C412yes—
173#340C2×C412yes—
174#340C2×C412yes—
175#340C2×C412yes—
176#339—22no—
177#339—22no—
178#339—41no—
179#339—41no—
180#339C2×C414yescomplemented
181#339C2×C414yescomplemented
182#339C2×C414yescomplemented
183#339C2×C414yescomplemented
184#336—22no—
185#336—22no—
186#336—21no—
187#336—21no—
188#336—21no—
189#336—21no—
190C25#4111yescharacteristic
191C23×C4—21no—
192C23×C4—21no—
193C23×C4—21no—
194C23×C4—21no—
195C23×C4—21no—
196C23×C4—21no—
197C23×C4—21no—
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—21no—
201C23×C4—21no—
202C23×C4—21no—
203C23×C4—22no—
204C23×C4C22×C412yes—
205C23×C4C22×C411yescharacteristic
206C23×C4C22×C411yescharacteristic
207C23×C4C22×C412yes—
208C23×C4C2×D412yes—
209C23×C4C2×D411yescharacteristic
210C23×C4C2×D411yescharacteristic
211C23×C4#4111yescharacteristic
212C23×C4#4112yes—
213C23×C4C2411yescharacteristic
214C2×M16—24no—
215C2×M16—24no—
216C2×M16—21no—
217C2×M16—21no—
218C2×M16—21no—
219C2×M16—21no—
220C2×M16—24no—
221C2×M16—24no—
222C2×M16—21no—
223C2×M16—21no—
224C2×M16—21no—
225C2×M16—21no—
226C2×M16—21no—
227C2×M16—21no—
228C2×M16—21no—
229C2×M16—21no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—21no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16—21no—
237C2×M16—21no—
238C2×M16—42no—
239C2×M16—42no—
240C2×M16—44no—
241C2×M16—44no—
242C2×M16—44no—
243C2×M16—44no—
244C2×M16C22×C412yes—
245C2×M16C22×C412yes—
246C2×M16C22×C412yes—
247C2×M16C22×C412yes—
248C22×C8—21no—
249C22×C8—21no—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—21no—
268C22×C8—21no—
269C22×C8—21no—
270C22×C8C22×C412yes—
271C22×C8C22×C412yes—
272C22×C8C22×C412yes—
273C22×C8C22×C412yes—
274C22×C8C2×D412yes—
275C22×C8C2×D412yes—
276C22×C8C2×D411yescharacteristic
277C22×C8C2×D411yescharacteristic
278C22×C8C2×D411yescharacteristic
279C22×C8C2×D411yescharacteristic
280C22×C8#4112yes—
281C22×C8#4112yes—
282#117—24no—
283#117—24no—
284#117—24no—
285#117—24no—
286#117—22no—
287#117—22no—
288#117—21no—
289#117—21no—
290#117—21no—
291#117—21no—
292#117—21no—
293#117—21no—
294#117—21no—
295#117—21no—
296#117—21no—
297#117—21no—
298#117—24no—
299#117—42no—
300#117—42no—
301#117—42no—
302#117—42no—
303#117—42no—
304#117C4214yes—
305#117C4214yes—
306#117C22×C412yes—
307#117C22×C412yes—
308#117C22×C412yes—
309#117C22×C412yes—
310#117#4112yes—
311#117#4112yes—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—42no—
319C2×C4⋊C4C4214yes—
320C2×C4⋊C4C4214yes—
321C2×C4⋊C4C22×C412yes—
322C2×C4⋊C4C22×C411yescharacteristic
323C2×C4⋊C4C22×C411yescharacteristic
324C2×C4⋊C4C22×C411yescharacteristic
325C2×C4⋊C4C22×C411yescharacteristic
326C2×C4⋊C4C22×C412yes—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—21no—
330C2×C22⋊C4—21no—
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—42no—
338C2×C22⋊C4—42no—
339C2×C22⋊C4—44no—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—21no—
343C2×C42—21no—
344C2×C42—21no—
345C2×C42—21no—
346C2×C42—21no—
347C2×C42—21no—
348C2×C42—21no—
349C2×C42—21no—
350C2×C42—21no—
351C2×C42—21no—
352C2×C42—21no—
353C2×C42—21no—
354C2×C42—21no—
355C2×C42—22no—
356C2×C42—21no—
357C2×C42—21no—
358C2×C42—21no—
359C2×C42—42no—
360C2×C42—42no—
361C2×C42C22×C412yes—
362C2×C42C22×C412yes—
363C4⋊C8—24no—
364C4⋊C8—24no—
365C4⋊C8—24no—
366C4⋊C8—24no—
367C22⋊C8—24no—
368C22⋊C8—24no—
369C22⋊C8—24no—
370C22⋊C8—24no—
371C22⋊C8C22⋊C414yes—
372C22⋊C8C22⋊C414yes—
373C22⋊C8C22⋊C414yes—
374C22⋊C8C22⋊C414yes—
375#97—24no—
376#97—24no—
377#97—42no—
378#97—42no—
379#97—44no—
380C4×C8—24no—
381C4×C8—24no—
382C4×C8—42no—
383C4×C8—42no—
384C4×C8—44no—
385#95—24no—
386C24—21no—
387C24—21no—
388C24—21no—
389C24—21no—
390C24—42no—
391C24—42no—
392C24#11712yes—
393C24C4×D411yescharacteristic
394C24C4×D411yescharacteristic
395C24C4×D412yes—
396C24C2×#4111yescharacteristic
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—22no—
406C22×C4—22no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—44no—
445C22×C4—42no—
446C22×C4—44no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—42no—
450C22×C4—44no—
451C22×C4—42no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—82no—
455C22×C4—82no—
456C22×C4C2×C4212yes—
457C22×C4C2×C4212yes—
458C22×C4C2×C22⋊C412yes—
459C22×C4C2×C22⋊C412yes—
460C22×C4#11712yes—
461C22×C4C4×D412yes—
462C22×C4C4×D412yes—
463C22×C4C4×D412yes—
464C22×C4C4×D412yes—
465C22×C4C4×D412yes—
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C23×C411yescharacteristic
469C22×C4C23×C411yescharacteristic
470C22×C4C23×C411yescharacteristic
471C22×C4C22×D411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C2×#4111yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4C2×#4111yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C4H(5,𝔽2)11yescharacteristic
480C22×C42−1+411yescharacteristic
481C22×C42−1+411yescharacteristic
482M16—22no—
483M16—22no—
484M16—22no—
485M16—22no—
486M16—22no—
487M16—22no—
488M16—22no—
489M16—22no—
490M16—48no—
491M16—48no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16—41no—
497M16—41no—
498M16—41no—
499M16—41no—
500C2×C8—22no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—41no—
536C2×C8—41no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—41no—
540C2×C8—41no—
541C2×C8C2×C22⋊C412yes—
542C2×C8C2×C22⋊C412yes—
543C2×C8C2×C22⋊C412yes—
544C2×C8C2×C22⋊C412yes—
545C2×C8#11714yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—44no—
556C4⋊C4C2×C4212yes—
557C4⋊C4C2×C4212yes—
558C4⋊C4C2×C4212yes—
559C4⋊C4C2×C4212yes—
560C4⋊C4#11714yes—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—44no—
570C22⋊C4—48no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—24no—
580C42—24no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—44no—
586C42—41no—
587C42—41no—
588C42—41no—
589C42—41no—
590C42—41no—
591C42—41no—
592C23—22no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—82no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23C4×C22⋊C412yes—
615C23C4×C22⋊C412yes—
616C23C2×#11711yescharacteristic
617C23C2×C4×D411yescharacteristic
618C23C2×C4×D411yescharacteristic
619C23#55111yescharacteristic
620C23#55111yescharacteristic
621C23#55211yescharacteristic
622C23#55211yescharacteristic
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—48no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—84no—
671C2×C4—88no—
672C2×C4—82no—
673C2×C4—82no—
674C2×C4C4×C22⋊C412yes—
675C2×C4C4×C22⋊C412yes—
676C2×C4C22×C4211yescharacteristic
677C2×C4C22×C22⋊C411yescharacteristic
678C2×C4C2×#11711yescharacteristic
679C2×C4C2×#11711yescharacteristic
680C2×C4C2×C4×D411yescharacteristic
681C2×C4C2×C4×D411yescharacteristic
682C2×C4C4×#4111yescharacteristic
683C2×C4C4×#4111yescharacteristic
684C2×C4C4×#4111yescharacteristic
685C2×C4C4×#4111yescharacteristic
686C2×C4#51811yescharacteristic
687C2×C4#51911yescharacteristic
688C2×C4#52011yescharacteristic
689C2×C4#52011yescharacteristic
690C2×C4#52011yescharacteristic
691C2×C4#52011yescharacteristic
692C2×C4#54611yescharacteristic
693C2×C4#54611yescharacteristic
694C2×C4#54611yescharacteristic
695C2×C4#54611yescharacteristic
696C2×C4#54711yescharacteristic
697C2×C4#54711yescharacteristic
698C2×C4#54711yescharacteristic
699C2×C4#54711yescharacteristic
700C2×C4#55111yescharacteristic
701C2×C4#55111yescharacteristic
702C2×C4#55211yescharacteristic
703C2×C4#55211yescharacteristic
704C8—22no—
705C8—22no—
706C8—22no—
707C8—22no—
708C8—24no—
709C8—42no—
710C8—42no—
711C8—42no—
712C8—42no—
713C8—42no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22C2×C4×C22⋊C411yescharacteristic
737C22#234211yescharacteristic
738C22#234311yescharacteristic
739C22#234311yescharacteristic
740C22#234411yescharacteristic
741C22#235911yescharacteristic
742C22#235911yescharacteristic
743C22#295512yes—
744C22#295612yes—
745C4—22no—
746C4—22no—
747C4—44no—
748C4—44no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—82no—
754C4—82no—
755C4C4×#11711yescharacteristic
756C4#227411yescharacteristic
757C4#233911yescharacteristic
758C4#233911yescharacteristic
759C4#234211yescharacteristic
760C4#234411yescharacteristic
761C4#235911yescharacteristic
762C4#235911yescharacteristic
763C2—21no—
764C2—21no—
765C2—21no—
766C2—21no—
767C2—42no—
768C2—42no—
769C2#1379911yescharacteristic
770C2#2042011yescharacteristic
771C2#2042111yescharacteristic
772C2#2258812yes—
773C2#2260812yes—
subgroupG/H
centerC22×C4C22×D4
commutatorC2×C4C22×C42
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC25#41
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C22×C22⋊C8 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
6. #10887C2semidirect
7. #10887C2semidirect
8. #10883C2semidirect
9. #10882C2semidirect
10. #10809C2semidirect
11. #10809C2semidirect
14. #10707C2semidirect
15. #10706C2semidirect
20. #2924C4semidirect
37. #1826C4semidirect
47. #1736C4semidirect
48. #1736C4semidirect
49. #1736C4semidirect
50. #1736C4semidirect
119. #424C2×C4semidirect
120. #424C2×C4semidirect
145. #405C2×C4semidirect
146. #405C2×C4semidirect
180. #339C2×C4semidirect
181. #339C2×C4semidirect
182. #339C2×C4semidirect
183. #339C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#29242
C2×#18262
C2×#17532
#203792
#203472
#108872
#108832
#108822
#108092
#107332
#107242
#107072
#107062