Finite Group Databasebeta

← #366108

Subgroups — #366108

Order 512.

1008 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#1922C211yesmaximal, characteristic, complemented
2#20872C211yesmaximal, characteristic
3#20630C211yesmaximal, characteristic
4#20439C211yesmaximal, characteristic, complemented
5C2×#1759C211yesmaximal, characteristic
6#11329C211yesmaximal, characteristic, complemented
7#11221C211yesmaximal, characteristic, complemented
8#11125C211yesmaximal, characteristic
9#11068C211yesmaximal, characteristic
10#10934C211yesmaximal, characteristic
11#10934C211yesmaximal, characteristic
12#10911C211yesmaximal, characteristic, complemented
13#10887C211yesmaximal, characteristic, complemented
14#10879C211yesmaximal, characteristic, complemented
15#10796C211yesmaximal, characteristic, complemented
16C2×C4×#41C2211yescharacteristic
17C22×#108C2211yescharacteristic
18C2×#427C2211yescharacteristic
19C2×#424C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#424C2211yescharacteristic
22C22×#104C2211yescharacteristic
23C22×#104C2211yescharacteristic
24C2×#416C2211yescharacteristic
25C2×#416C2211yescharacteristic
26C2×#408C2211yescharacteristic
27C2×#408C2211yescharacteristic
28C2×#405C2211yescharacteristic
29C2×#405C2211yescharacteristic
30C2×C4×M16C2211yescharacteristic
31#2296C2211yescharacteristic
32C2×#376C2211yescharacteristic
33#1922—24no—
34#1865C411yescharacteristic, complemented
35#1865C411yescharacteristic, complemented
36#1864C411yescharacteristic, complemented
37#1864C411yescharacteristic, complemented
38#1863C411yescharacteristic, complemented
39#1863C411yescharacteristic, complemented
40#1862C411yescharacteristic, complemented
41#1862C411yescharacteristic, complemented
42#1798—21no—
43#1798—21no—
44#1797—21no—
45#1797—21no—
46#1771—21no—
47#1771—21no—
48#1770—21no—
49C8×C4⋊C4—21no—
50#1759—24no—
51C2×#341C2211yescharacteristic
52C2×#341C2211yescharacteristic
53C2×#341C2211yescharacteristic
54#1735C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60C2×#339C2211yescharacteristic
61#1729C2211yescharacteristic
62#1728C2211yescharacteristic
63C2×#336C2211yescharacteristic
64C2×#336C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C2×#336C2211yescharacteristic
69C22×#41C2311yescharacteristic
70C22×M16C2311yescharacteristic
71C22×M16C2311yescharacteristic
72C22×M16C2311yescharacteristic
73C22×M16C2311yescharacteristic
74C23×C8C2311yescharacteristic
75C23×C8C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C23×C8C2311yescharacteristic
78C4×#41—22no—
79C4×#41—22no—
80C4×#41—41no—
81C4×#41—41no—
82C2×C4×Q8C2×C411yescharacteristic
83C2×C4×Q8C2×C411yescharacteristic
84C2×C4×D4—21no—
85C2×C4×D4—21no—
86C2×C4×D4C2×C411yescharacteristic
87C2×C4×D4C2×C411yescharacteristic
88C2×#117—21no—
89C2×#117C2311yescharacteristic
90C2×#117C2311yescharacteristic
91C2×#117C2311yescharacteristic
92C22×C42—21no—
93C22×C42C2311yescharacteristic
94C22×C42C2311yescharacteristic
95C22×C42C2311yescharacteristic
96C2×#108—22no—
97C2×#108—41no—
98C2×#108—41no—
99#427—22no—
100#427—22no—
101C2×#107C2×C411yescharacteristic
102C2×#107C2×C411yescharacteristic
103C2×#106C2×C411yescharacteristic
104C2×#106C2×C411yescharacteristic
105#424—22no—
106#424—22no—
107#424—22no—
108#424—22no—
109#424—41no—
110#424—41no—
111C2×C4⋊C8—21no—
112C2×C4⋊C8—21no—
113C2×C4⋊C8—21no—
114C2×C4⋊C8—21no—
115C2×C4⋊C8—21no—
116C2×C4⋊C8—21no—
117C2×#104—22no—
118C2×#104—22no—
119C2×#104—22no—
120C2×#104—22no—
121C2×#104—22no—
122C2×#104Q814yes—
123#416—22no—
124#416—22no—
125#416—41no—
126#416—41no—
127C2×#103C2×C411yescharacteristic
128C2×#103C2×C411yescharacteristic
129C2×#103C2×C411yescharacteristic
130C2×#103C2×C411yescharacteristic
131C2×#102C2×C411yescharacteristic
132C2×#102C2×C411yescharacteristic
133C2×#102C2×C411yescharacteristic
134C2×#102C2×C411yescharacteristic
135#408—22no—
136#408—22no—
137#408—41no—
138#408—41no—
139C2×C22⋊C8—21no—
140C2×C22⋊C8—21no—
141C2×C22⋊C8—21no—
142C2×C22⋊C8—21no—
143#405—22no—
144#405—22no—
145#405—22no—
146#405—41no—
147C4×M16—22no—
148C4×M16—41no—
149C2×#97—21no—
150C2×#97—21no—
151C2×#97—21no—
152C2×C4×C8—21no—
153C2×C4×C8—21no—
154C2×C4×C8—21no—
155#389C2×C411yescharacteristic
156#389C2×C411yescharacteristic
157#389C2×C411yescharacteristic
158#389C2×C411yescharacteristic
159#385—21no—
160#385—21no—
161C4×C4⋊C4—21no—
162C4×C4⋊C4—21no—
163#376—22no—
164#376—41no—
165C2×#95—21no—
166C2×#95—21no—
167#341—22no—
168#341—22no—
169#341—41no—
170#340C2×C411yescharacteristic
171#340C2×C411yescharacteristic
172#340C2×C411yescharacteristic
173#340C2×C411yescharacteristic
174#339—22no—
175#339—22no—
176#339—22no—
177#339—22no—
178#339—41no—
179#339D414yes—
180#336—21no—
181#336—21no—
182#336—21no—
183#336—21no—
184#336—22no—
185#336—41no—
186#336—41no—
187#336—41no—
188#336C2×C411yescharacteristic
189#336C2×C411yescharacteristic
190#336C2×C411yescharacteristic
191#336C2×C411yescharacteristic
192#336D411yescharacteristic
193#336D411yescharacteristic
194#336D411yescharacteristic
195#336D411yescharacteristic
196C2×#41—21no—
197C2×#41—21no—
198C2×#41—21no—
199C2×#41—21no—
200C2×#41—21no—
201C2×#41—21no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41C2×Q812yes—
207C2×#41#4112yes—
208C22×Q8C22×C411yescharacteristic
209C22×D4—21no—
210C22×D4C22×C411yescharacteristic
211C23×C4—21no—
212C23×C4—21no—
213C23×C4—21no—
214C23×C4—21no—
215C23×C4—21no—
216C23×C4#4111yescharacteristic
217C23×C4#4111yescharacteristic
218C23×C4C2411yescharacteristic
219C2×M16—21no—
220C2×M16—21no—
221C2×M16—21no—
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—21no—
239C2×M16C2×D412yes—
240C2×M16C2×Q812yes—
241C2×M16#4112yes—
242C2×M16#4112yes—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
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×C8—21no—
271C22×C8C22×C411yescharacteristic
272C22×C8C22×C411yescharacteristic
273C22×C8C22×C411yescharacteristic
274C22×C8C22×C411yescharacteristic
275C22×C8C2×D411yescharacteristic
276C22×C8C2×D411yescharacteristic
277C22×C8C2×D411yescharacteristic
278C22×C8C2×D411yescharacteristic
279C4×Q8—22no—
280C4×Q8—22no—
281C4×Q8—41no—
282C4×Q8—41no—
283C4×D4—22no—
284C4×D4—22no—
285C4×D4—41no—
286C4×D4—41no—
287C4×D4—42no—
288C4×D4—42no—
289C4×D4—42no—
290C4×D4—42no—
291#117—21no—
292#117—21no—
293#117—21no—
294#117—21no—
295#117—21no—
296#117—21no—
297#117—21no—
298#117—21no—
299#117—42no—
300#117—42no—
301#117C2×D412yes—
302#117#4112yes—
303#117#4112yes—
304#117#4112yes—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4C22×C411yescharacteristic
312C2×C4⋊C4C22×C411yescharacteristic
313C2×C4⋊C4C22×C411yescharacteristic
314C2×C4⋊C4C22×C411yescharacteristic
315C2×C4⋊C4C22×C411yescharacteristic
316C2×C4⋊C4C22×C411yescharacteristic
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—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—42no—
342C2×C42—42no—
343C2×C42C22×C411yescharacteristic
344C2×C42C22×C411yescharacteristic
345C2×C42C2×D412yes—
346C2×C42C2×D411yescharacteristic
347C2×C42C2×D411yescharacteristic
348C2×C42C2×Q812yes—
349#108—44no—
350#107—22no—
351#107—22no—
352#106—22no—
353#106—22no—
354C4⋊C8—24no—
355C4⋊C8—24no—
356C4⋊C8—42no—
357C4⋊C8—42no—
358C4⋊C8—42no—
359C4⋊C8—42no—
360#104—28no—
361#104—28no—
362#103—22no—
363#103—22no—
364#103—41no—
365#103—41no—
366#102—22no—
367#102—22no—
368#102—41no—
369#102—41no—
370C22⋊C8—42no—
371C22⋊C8—42no—
372C22⋊C8—42no—
373C22⋊C8—42no—
374#97—24no—
375#97—42no—
376#97—42no—
377C4×C8—24no—
378C4×C8—42no—
379C4×C8—42no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—42no—
385#95—42no—
386C24—21no—
387C24C2×#4111yescharacteristic
388#41—22no—
389#41—22no—
390#41—22no—
391#41—22no—
392#41—22no—
393#41—22no—
394#41—22no—
395#41—22no—
396#41—41no—
397#41—41no—
398#41—41no—
399#41—41no—
400#41—41no—
401#41—41no—
402#41—41no—
403#41—41no—
404C2×Q8—21no—
405C2×Q8—21no—
406C2×Q8—21no—
407C2×Q8—21no—
408C2×Q8—21no—
409C2×Q8C4×Q812yes—
410C2×D4—22no—
411C2×D4—22no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—41no—
418C2×D4—41no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4C4×Q812yes—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
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×C4—41no—
460C22×C4—41no—
461C22×C4—81no—
462C22×C4—81no—
463C22×C4C4×D411yescharacteristic
464C22×C4C4×D411yescharacteristic
465C22×C4C4×D411yescharacteristic
466C22×C4C4×D411yescharacteristic
467C22×C4C23×C411yescharacteristic
468C22×C4C22×D411yescharacteristic
469C22×C4C22×D411yescharacteristic
470C22×C4C22×Q811yescharacteristic
471C22×C4C2×#4111yescharacteristic
472C22×C4C2×#4111yescharacteristic
473C22×C4C2×#4111yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4H(5,𝔽2)11yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C4H(5,𝔽2)11yescharacteristic
480C22×C42−1+411yescharacteristic
481M16—22no—
482M16—22no—
483M16—22no—
484M16—22no—
485M16—22no—
486M16—41no—
487M16—41no—
488M16—41no—
489M16—41no—
490M16—41no—
491M16—41no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16C22⋊Q814yes—
497C2×C8—22no—
498C2×C8—22no—
499C2×C8—22no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
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—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—41no—
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×C8—41no—
544C2×C8—41no—
545C2×C8—41no—
546C2×C8—41no—
547C2×C8—41no—
548C2×C8—41no—
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—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—81no—
562C4⋊C4—81no—
563C4⋊C4#11712yes—
564C4⋊C4#11712yes—
565C4⋊C4C4×D412yes—
566C4⋊C4C4×D412yes—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—22no—
580C42—22no—
581C42—21no—
582C42—21no—
583C42—22no—
584C42—22no—
585C42—21no—
586C42—21no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—42no—
592C42—42no—
593C42—41no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23C2×C4×D411yescharacteristic
611C23#52911yescharacteristic
612C23#52911yescharacteristic
613C23#54611yescharacteristic
614C23#55111yescharacteristic
615C23#55211yescharacteristic
616C23#55411yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—41no—
620Q8—41no—
621D4—22no—
622D4—22no—
623D4—42no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—41no—
628D4—41no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4C2×#11711yescharacteristic
687C2×C4C2×C4×D411yescharacteristic
688C2×C4C2×C4×Q811yescharacteristic
689C2×C4C4×#4111yescharacteristic
690C2×C4#51811yescharacteristic
691C2×C4#52011yescharacteristic
692C2×C4C2×C22⋊Q811yescharacteristic
693C2×C4#52511yescharacteristic
694C2×C4#52511yescharacteristic
695C2×C4#52511yescharacteristic
696C2×C4#52911yescharacteristic
697C2×C4#53311yescharacteristic
698C2×C4#53811yescharacteristic
699C2×C4#53911yescharacteristic
700C2×C4#54011yescharacteristic
701C2×C4#54211yescharacteristic
702C2×C4D4211yescharacteristic
703C2×C4#54611yescharacteristic
704C2×C4#54611yescharacteristic
705C2×C4#54711yescharacteristic
706C2×C4D4×Q811yescharacteristic
707C2×C4#55011yescharacteristic
708C2×C4#55311yescharacteristic
709C2×C4#55311yescharacteristic
710C2×C4#55411yescharacteristic
711C2×C4#55411yescharacteristic
712C2×C4#55511yescharacteristic
713C2×C4#55611yescharacteristic
714C8—24no—
715C8—41no—
716C8—41no—
717C8—41no—
718C8—41no—
719C8—41no—
720C8—41no—
721C8—42no—
722C8—41no—
723C8—41no—
724C8—81no—
725C8—81no—
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—42no—
739C22—42no—
740C22—42no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22#229011yescharacteristic
746C22#235811yescharacteristic
747C22#236011yescharacteristic
748C22#245411yescharacteristic
749C22#246811yescharacteristic
750C22#257411yescharacteristic
751C22#257711yescharacteristic
752C22#295511yescharacteristic
753C22#295511yescharacteristic
754C22#295711yescharacteristic
755C22#295711yescharacteristic
756C4—41no—
757C4—41no—
758C4—42no—
759C4—41no—
760C4—41no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—82no—
767C4—81no—
768C4—81no—
769C4C4×C22⋊Q811yescharacteristic
770C4#233511yescharacteristic
771C4#234511yescharacteristic
772C4#235411yescharacteristic
773C4#244911yescharacteristic
774C4#245611yescharacteristic
775C4#246511yescharacteristic
776C4#247611yescharacteristic
777C2—21no—
778C2—21no—
779C2—21no—
780C2—21no—
781C2—82no—
782C2#1398711yescharacteristic
783C2#2113811yescharacteristic
784C2#2114011yescharacteristic
785C2#2288711yescharacteristic
786C2#2288911yescharacteristic
787C2#2298411yescharacteristic
788C2#2298411yescharacteristic
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×#1922C2semidirect
4. #20439C2semidirect
6. #11329C2semidirect
7. #11221C2semidirect
12. #10911C2semidirect
13. #10887C2semidirect
14. #10879C2semidirect
15. #10796C2semidirect
34. #1865C4semidirect
35. #1865C4semidirect
36. #1864C4semidirect
37. #1864C4semidirect
38. #1863C4semidirect
39. #1863C4semidirect
40. #1862C4semidirect
41. #1862C4semidirect

Maximal subgroups

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

subgroupindex
C2×#19222
#208722
#206302
#204392
C2×#17592
#113292
#112212
#111252
#110682
#109342
#109112
#108872
#108792
#107962