Finite Group Databasebeta

← #373165

Subgroups — #373165

Order 512.

1081 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×#1945C211yesmaximal, characteristic, complemented
2C2×#1929C211yesmaximal, characteristic
3#21058C211yesmaximal, characteristic
4C2×#1866C211yesmaximal, characteristic
5#20839C211yesmaximal, characteristic
6#20430C211yesmaximal, characteristic, complemented
7C2×#1764C211yesmaximal, characteristic
8#11326C211yesmaximal, characteristic, complemented
9#11221C211yesmaximal, characteristic, complemented
10#11075C211yesmaximal, characteristic
11#11068C211yesmaximal, characteristic
12#10910C211yesmaximal, characteristic, complemented
13#10887C211yesmaximal, characteristic, complemented
14#10874C211yesmaximal, characteristic, complemented
15#10852C211yesmaximal, characteristic, complemented
16C22×#131C2211yescharacteristic
17C22×#108C2211yescharacteristic
18C22×#108C2211yescharacteristic
19C2×#427C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#424C2211yescharacteristic
22C2×#424C2211yescharacteristic
23C2×#423C2211yescharacteristic
24C22×#104C2211yescharacteristic
25C22×#104C2211yescharacteristic
26C2×#416C2211yescharacteristic
27C2×#416C2211yescharacteristic
28C2×#408C2211yescharacteristic
29C2×#405C2211yescharacteristic
30C2×#405C2211yescharacteristic
31C22×C4×C8C2211yescharacteristic
32#2297C2211yescharacteristic
33C4×#117C2211yescharacteristic
34C2×C4×C4⋊C4C2211yescharacteristic
35#1945—24no—
36#1929—24no—
37#1928C411yescharacteristic, complemented
38#1928C411yescharacteristic, complemented
39#1927C411yescharacteristic, complemented
40#1927C411yescharacteristic, complemented
41#1926C411yescharacteristic, complemented
42#1926C411yescharacteristic, complemented
43#1925C411yescharacteristic, complemented
44#1925C411yescharacteristic, complemented
45#1866—24no—
46#1851—21no—
47#1851—21no—
48#1850—21no—
49#1850—21no—
50#1768—21no—
51#1768—21no—
52#1767—21no—
53C4×C4⋊C8—21no—
54#1764—24no—
55C2×#341C2211yescharacteristic
56C2×#341C2211yescharacteristic
57#1735C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60C2×#339C2211yescharacteristic
61C2×#339C2211yescharacteristic
62C2×#339C2211yescharacteristic
63C2×#339C2211yescharacteristic
64#1729C2211yescharacteristic
65#1728C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C2×#336C2211yescharacteristic
69C2×#336C2211yescharacteristic
70C2×#336C2211yescharacteristic
71C22×#41C2311yescharacteristic
72C2×#131—22no—
73C2×#131—22no—
74C2×#131—22no—
75C2×#131—22no—
76C2×#131—41no—
77C2×#131—41no—
78C22×M16—21no—
79C22×M16C2311yescharacteristic
80C22×M16C2311yescharacteristic
81C22×M16C2311yescharacteristic
82C22×M16C2311yescharacteristic
83C23×C8—21no—
84C23×C8C2311yescharacteristic
85C23×C8C2311yescharacteristic
86C23×C8C2311yescharacteristic
87C23×C8C2311yescharacteristic
88C2×#117C2311yescharacteristic
89C2×#117C2311yescharacteristic
90C2×#117C2311yescharacteristic
91C22×C4⋊C4—21no—
92C22×C42C2311yescharacteristic
93C22×C42C2311yescharacteristic
94C22×C42C2311yescharacteristic
95C2×#108—22no—
96C2×#108—22no—
97C2×#108—22no—
98C2×#108—22no—
99C2×#108—41no—
100C2×#108—41no—
101#427—22no—
102#427—22no—
103C2×#107C2×C411yescharacteristic
104C2×#107C2×C411yescharacteristic
105C2×#106C2×C411yescharacteristic
106C2×#106C2×C411yescharacteristic
107#424—22no—
108#424—22no—
109#424—22no—
110#424—22no—
111#424—22no—
112#424D414yes—
113#423—22no—
114#423—41no—
115C2×C4⋊C8—21no—
116C2×C4⋊C8—21no—
117C2×C4⋊C8—21no—
118C2×C4⋊C8—21no—
119C2×C4⋊C8—21no—
120C2×C4⋊C8—21no—
121C2×C4⋊C8—21no—
122C2×C4⋊C8—21no—
123C2×#104—22no—
124C2×#104—22no—
125C2×#104—22no—
126C2×#104—22no—
127C2×#104—22no—
128C2×#104—41no—
129#416—22no—
130#416—22no—
131#416D414yes—
132#416Q814yes—
133C2×#103C2×C411yescharacteristic
134C2×#103C2×C411yescharacteristic
135C2×#103C2×C411yescharacteristic
136C2×#103C2×C411yescharacteristic
137C2×#102C2×C411yescharacteristic
138C2×#102C2×C411yescharacteristic
139C2×#102C2×C411yescharacteristic
140C2×#102C2×C411yescharacteristic
141#408—22no—
142#408—41no—
143C2×C22⋊C8—21no—
144C2×C22⋊C8—21no—
145#405—22no—
146#405—22no—
147#405—41no—
148#405—41no—
149C2×#97—21no—
150C2×#97—21no—
151C2×C4×C8—22no—
152C2×C4×C8—22no—
153C2×C4×C8—21no—
154C2×C4×C8—21no—
155C2×C4×C8—41no—
156#391C2×C411yescharacteristic
157#391C2×C411yescharacteristic
158#390C2×C411yescharacteristic
159#390C2×C411yescharacteristic
160#386—21no—
161#386—21no—
162C4×C4⋊C4—22no—
163C4×C4⋊C4—41no—
164C4×C4⋊C4C2×C411yescharacteristic
165C4×C4⋊C4C2×C411yescharacteristic
166C4×C4⋊C4C2×C411yescharacteristic
167C4×C4⋊C4C2×C411yescharacteristic
168C4×C22⋊C4—21no—
169C4×C22⋊C4—21no—
170C4×C22⋊C4—21no—
171C4×C22⋊C4—21no—
172#376—21no—
173C2×#95—21no—
174C43—21no—
175#341—22no—
176#341—41no—
177#340C2×C411yescharacteristic
178#340C2×C411yescharacteristic
179#340C2×C411yescharacteristic
180#340C2×C411yescharacteristic
181#339—22no—
182#339—22no—
183#339—22no—
184#339—22no—
185#339—22no—
186#339—22no—
187#336—21no—
188#336—21no—
189#336—22no—
190#336—22no—
191#336—21no—
192#336—21no—
193#336—22no—
194#336C2×C411yescharacteristic
195#336C2×C411yescharacteristic
196#336C2×C411yescharacteristic
197#336C2×C411yescharacteristic
198#336D411yescharacteristic
199#336D411yescharacteristic
200#336D411yescharacteristic
201#336D411yescharacteristic
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41—21no—
207C2×#41—21no—
208C2×#41—21no—
209C2×#41—21no—
210C2×#41—21no—
211C2×#41—21no—
212C2×#41C2×D412yes—
213C2×#41C2×Q812yes—
214C22×Q8C22×C411yescharacteristic
215C22×D4—21no—
216C22×D4C22×C411yescharacteristic
217C23×C4—21no—
218C23×C4—21no—
219C23×C4—21no—
220C23×C4#4111yescharacteristic
221C23×C4#4111yescharacteristic
222C23×C4C2411yescharacteristic
223#131—28no—
224#131—44no—
225#131—44no—
226#131—44no—
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—21no—
239C2×M16—21no—
240C2×M16—21no—
241C2×M16—21no—
242C2×M16—21no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—21no—
246C2×M16—21no—
247C2×M16—21no—
248C2×M16—42no—
249C2×M16—42no—
250C2×M16—42no—
251C2×M16C2×D412yes—
252C2×M16#4112yes—
253C2×M16#4112yes—
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×C8—21no—
271C22×C8—21no—
272C22×C8—21no—
273C22×C8—21no—
274C22×C8—21no—
275C22×C8—21no—
276C22×C8—21no—
277C22×C8—21no—
278C22×C8—42no—
279C22×C8—42no—
280C22×C8—42no—
281C22×C8C22×C411yescharacteristic
282C22×C8C22×C411yescharacteristic
283C22×C8C22×C411yescharacteristic
284C22×C8C22×C411yescharacteristic
285C22×C8C2×D411yescharacteristic
286C22×C8C2×D411yescharacteristic
287C22×C8C2×D412yes—
288C22×C8C2×D412yes—
289C22×C8C2×D411yescharacteristic
290C22×C8C2×D411yescharacteristic
291C22×C8C2×Q812yes—
292C22×C8#4112yes—
293#117—21no—
294#117—21no—
295#117—21no—
296#117—21no—
297#117—21no—
298#117—21no—
299#117—21no—
300#117—21no—
301#117C2×D412yes—
302#117C2×D412yes—
303#117C2×Q812yes—
304#117#4112yes—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4C22×C411yescharacteristic
309C2×C4⋊C4C22×C411yescharacteristic
310C2×C4⋊C4C22×C411yescharacteristic
311C2×C4⋊C4C22×C411yescharacteristic
312C2×C4⋊C4C22×C411yescharacteristic
313C2×C4⋊C4C22×C411yescharacteristic
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42—21no—
324C2×C42—21no—
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42—21no—
335C2×C42—21no—
336C2×C42—21no—
337C2×C42—21no—
338C2×C42—21no—
339C2×C42—21no—
340C2×C42—21no—
341C2×C42—21no—
342C2×C42—21no—
343C2×C42C22×C411yescharacteristic
344C2×C42C22×C411yescharacteristic
345C2×C42C2×D411yescharacteristic
346C2×C42C2×D411yescharacteristic
347C2×C42#4112yes—
348#108—44no—
349#108—44no—
350#107—22no—
351#107—22no—
352#106—22no—
353#106—22no—
354C4⋊C8—24no—
355C4⋊C8—24no—
356C4⋊C8—24no—
357C4⋊C8—24no—
358C4⋊C8—42no—
359C4⋊C8—42no—
360C4⋊C8—42no—
361C4⋊C8—42no—
362#104—28no—
363#104—44no—
364#103—22no—
365#103—22no—
366#103C4⋊C414yescomplemented
367#103C4⋊C414yescomplemented
368#102—22no—
369#102—22no—
370#102C4⋊C414yescomplemented
371#102C4⋊C414yescomplemented
372C22⋊C8—42no—
373C22⋊C8—42no—
374#97—42no—
375#97—42no—
376C4×C8—42no—
377C4×C8—42no—
378C4×C8—44no—
379#95—21no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—21no—
386#95—21no—
387#95—42no—
388C24—21no—
389C24C2×#4111yescharacteristic
390#41—22no—
391#41—22no—
392#41—22no—
393#41—22no—
394#41—22no—
395#41—22no—
396#41—22no—
397#41—22no—
398#41—41no—
399#41—41no—
400#41—41no—
401#41—41no—
402#41—41no—
403#41—41no—
404#41—41no—
405#41—41no—
406C2×Q8—21no—
407C2×Q8—21no—
408C2×Q8—21no—
409C2×Q8—21no—
410C2×Q8—21no—
411C2×Q8C2×C4⋊C412yes—
412C2×D4—22no—
413C2×D4—22no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—41no—
422C2×D4—41no—
423C2×D4C2×C4⋊C412yes—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4C4×D411yescharacteristic
460C22×C4C4×D411yescharacteristic
461C22×C4C4×D411yescharacteristic
462C22×C4C4×D411yescharacteristic
463C22×C4C23×C411yescharacteristic
464C22×C4C22×D411yescharacteristic
465C22×C4C22×D411yescharacteristic
466C22×C4C22×D411yescharacteristic
467C22×C4C22×Q811yescharacteristic
468C22×C4C2×#4111yescharacteristic
469C22×C4C2×#4111yescharacteristic
470C22×C4C2×#4111yescharacteristic
471C22×C4C2×#4111yescharacteristic
472C22×C4C2×#4111yescharacteristic
473C22×C4H(5,𝔽2)11yescharacteristic
474C22×C4H(5,𝔽2)11yescharacteristic
475C22×C42−1+411yescharacteristic
476C22×C42−1+411yescharacteristic
477M16—22no—
478M16—22no—
479M16—22no—
480M16—22no—
481M16—22no—
482M16—22no—
483M16—48no—
484M16—41no—
485M16—41no—
486M16—41no—
487M16—41no—
488M16—41no—
489M16—41no—
490M16—41no—
491M16—41no—
492M16—41no—
493M16—41no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—22no—
501C2×C8—21no—
502C2×C8—22no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—22no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—22no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—22no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—48no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—41no—
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×C8—41no—
542C2×C8—41no—
543C2×C8C2×C4⋊C412yes—
544C2×C8C2×C4⋊C412yes—
545C2×C8#12112yes—
546C2×C8#12112yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—48no—
556C4⋊C4C2×C4⋊C412yes—
557C4⋊C4C2×C4⋊C412yes—
558C4⋊C4C4×D412yes—
559C4⋊C4C4×D412yes—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—42no—
565C22⋊C4—41no—
566C22⋊C4—41no—
567C22⋊C4—42no—
568C22⋊C4—81no—
569C22⋊C4—81no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—42no—
585C42—41no—
586C42—41no—
587C42—41no—
588C42—41no—
589C42—42no—
590C42—41no—
591C42—41no—
592C42—41no—
593C42—41no—
594C42—81no—
595C42—81no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23C2×C4×D411yescharacteristic
608C23#52911yescharacteristic
609C23#53211yescharacteristic
610C23#54711yescharacteristic
611C23#55111yescharacteristic
612C23#55211yescharacteristic
613C23#55411yescharacteristic
614Q8—22no—
615Q8—22no—
616Q8—41no—
617Q8—41no—
618D4—22no—
619D4—22no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—41no—
625D4—41no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4#44312yes—
681C2×C4C22×C4⋊C411yescharacteristic
682C2×C4C2×C4×D411yescharacteristic
683C2×C4C4×#4111yescharacteristic
684C2×C4C4×#4111yescharacteristic
685C2×C4#52011yescharacteristic
686C2×C4#52011yescharacteristic
687C2×C4C2×#12111yescharacteristic
688C2×C4#52511yescharacteristic
689C2×C4#52511yescharacteristic
690C2×C4#52511yescharacteristic
691C2×C4#53311yescharacteristic
692C2×C4#53311yescharacteristic
693C2×C4#53811yescharacteristic
694C2×C4#53911yescharacteristic
695C2×C4#54111yescharacteristic
696C2×C4#54211yescharacteristic
697C2×C4D4211yescharacteristic
698C2×C4D4211yescharacteristic
699C2×C4#54611yescharacteristic
700C2×C4#54611yescharacteristic
701C2×C4#54711yescharacteristic
702C2×C4#54711yescharacteristic
703C2×C4#54811yescharacteristic
704C2×C4D4×Q811yescharacteristic
705C2×C4D4×Q811yescharacteristic
706C2×C4#55411yescharacteristic
707C2×C4#55611yescharacteristic
708C2×C4#55911yescharacteristic
709C8—22no—
710C8—22no—
711C8—22no—
712C8—22no—
713C8—41no—
714C8—41no—
715C8—42no—
716C8—42no—
717C8—41no—
718C8—41no—
719C8—42no—
720C8—81no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22C4×#12111yescharacteristic
741C22D4×C4⋊C411yescharacteristic
742C22#235911yescharacteristic
743C22#246111yescharacteristic
744C22#247811yescharacteristic
745C22#255611yescharacteristic
746C22#258911yescharacteristic
747C22C2×#44311yescharacteristic
748C22#295511yescharacteristic
749C22#295611yescharacteristic
750C22#295711yescharacteristic
751C4—22no—
752C4—44no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—82no—
762C4—81no—
763C4—81no—
764C4#229611yescharacteristic
765C4#233411yescharacteristic
766C4D4×C4⋊C411yescharacteristic
767C4#236711yescharacteristic
768C4#242411yescharacteristic
769C4#242911yescharacteristic
770C4#245511yescharacteristic
771C4#246511yescharacteristic
772C2—21no—
773C2—21no—
774C2—21no—
775C2—21no—
776C2—82no—
777C2#1411211yescharacteristic
778C2#2151711yescharacteristic
779C2#2151911yescharacteristic
780C2#2268711yescharacteristic
781C2#2268811yescharacteristic
782C2#2294811yescharacteristic
783C2#2294911yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×#336 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#1945C2semidirect
6. #20430C2semidirect
8. #11326C2semidirect
9. #11221C2semidirect
12. #10910C2semidirect
13. #10887C2semidirect
14. #10874C2semidirect
15. #10852C2semidirect
37. #1928C4semidirect
38. #1928C4semidirect
39. #1927C4semidirect
40. #1927C4semidirect
41. #1926C4semidirect
42. #1926C4semidirect
43. #1925C4semidirect
44. #1925C4semidirect
366. #103C4⋊C4semidirect
367. #103C4⋊C4semidirect
370. #102C4⋊C4semidirect
371. #102C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#19452
C2×#19292
#210582
C2×#18662
#208392
#204302
C2×#17642
#113262
#112212
#110752
#110682
#109102
#108872
#108742
#108522