Finite Group Databasebeta

← C2×#30905 #7502199

Subgroups — C2×#30905 #7502199

Order 512.

2534 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#489C211yesmaximal, characteristic, complemented
2C22×#464C211yesmaximal, characteristic, complemented
3C2×#2548C211yesmaximal, characteristic
4C2×#2451C211yesmaximal, characteristic, complemented
5#30905C2116yesmaximal, direct product factor
6C2×#2067C211yesmaximal, characteristic, complemented
7C2×#2042C211yesmaximal, characteristic, complemented
8C2×#2041C211yesmaximal, characteristic
9C2×#2023C211yesmaximal, characteristic, complemented
10C2×#2015C211yesmaximal, characteristic, complemented
11C2×#2014C211yesmaximal, characteristic
12C2×#1973C211yesmaximal, characteristic, complemented
13C2×#1917C211yesmaximal, characteristic, complemented
14C2×#1880C211yesmaximal, characteristic, complemented
15C2×#1878C211yesmaximal, characteristic, complemented
16C2×#1863C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×SD16C2211yescharacteristic
19C23×SD16C2211yescharacteristic
20C22×C4⋊Q8C2211yescharacteristic
21C22×#127C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C22×C4×Q8C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C2×#489—28no—
27C2×#489C2218yescomplemented
28C2×#464—28no—
29C2×#464C2218yescomplemented
30C22×#107C2211yescharacteristic
31C22×C4⋊C8C2211yescharacteristic
32C22×#103C2211yescharacteristic
33C22×#103C2211yescharacteristic
34C22×#103C2211yescharacteristic
35C22×#103C2211yescharacteristic
36C22×#102C2211yescharacteristic
37C22×#102C2211yescharacteristic
38C22×#102C2211yescharacteristic
39C22×#102C2211yescharacteristic
40C22×#102C2211yescharacteristic
41C22×#102C2211yescharacteristic
42C22×#97C2211yescharacteristic
43#2548—24no—
44#2548C2218yes—
45#2451—24no—
46#2451C2218yescomplemented
47C2×#398—21no—
48C2×#395—21no—
49C2×#394—21no—
50C2×#394—21no—
51C2×#391—21no—
52C2×#391C2211yescharacteristic
53C2×#391C2211yescharacteristic
54C2×#390—21no—
55C2×#390—21no—
56C2×#390C2211yescharacteristic
57C2×#390C2211yescharacteristic
58C2×#389C2211yescharacteristic
59C2×#389C2211yescharacteristic
60C2×#387—21no—
61C2×C4×C4⋊C4C2211yescharacteristic
62#2067C2218yescomplemented
63#2042C2218yescomplemented
64#2041C2218yes—
65#2023C2218yescomplemented
66#2015C2218yescomplemented
67#2014C2218yes—
68#1973C2218yescomplemented
69#1917C2218yescomplemented
70#1880C2218yescomplemented
71#1878C2218yescomplemented
72#1863C2218yescomplemented
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C2×#336C2211yescharacteristic
78C2×#336C2211yescharacteristic
79C23×Q8—21no—
80C23×Q8C2311yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×D4—21no—
83C23×D4—21no—
84C23×D4C2311yescharacteristic
85C23×D4C2311yescharacteristic
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—42no—
89C22×Q16C2314yes—
90C22×SD16—24no—
91C22×SD16—24no—
92C22×SD16—24no—
93C22×SD16—42no—
94C22×SD16—42no—
95C22×SD16—42no—
96C22×SD16C2314yes—
97C22×SD16C2314yes—
98C23×C8C2311yescharacteristic
99C23×C8C2311yescharacteristic
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C2×C4⋊Q8—24no—
103C2×C4⋊Q8—22no—
104C2×C4⋊Q8—42no—
105C2×C4⋊Q8C2314yes—
106C2×#127—22no—
107C2×#127—42no—
108C2×#127—42no—
109C2×#127C2314yes—
110C2×#124—24no—
111C2×#124—24no—
112C2×#124—22no—
113C2×#124—22no—
114C2×#124—42no—
115C2×#124—42no—
116C2×#124C2314yes—
117C2×#124C2314yes—
118C2×C4×Q8—22no—
119C2×C4×Q8—22no—
120C2×C4×Q8—24no—
121C2×C4×Q8—42no—
122C2×C4×Q8—42no—
123C2×C4×Q8—42no—
124C2×C4×Q8C2314yes—
125C2×C4×Q8C2314yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4—21no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C42—21no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#489—232no—
151#464—232no—
152C2×#107—42no—
153C2×#107C2314yes—
154C2×C4⋊C8—24no—
155C2×C4⋊C8C2314yes—
156C2×#103—24no—
157C2×#103—42no—
158C2×#103—42no—
159C2×#103D418yescomplemented
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#102—24no—
165C2×#102—24no—
166C2×#102—24no—
167C2×#102—42no—
168C2×#102—42no—
169C2×#102—42no—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176C2×#97—24no—
177C2×#97C2314yes—
178#398—28no—
179#395—28no—
180#394—28no—
181#394—28no—
182#391—22no—
183#391—22no—
184#391—28no—
185#391C2314yes—
186#391C2314yes—
187#390—28no—
188#390—28no—
189#390—22no—
190#390—22no—
191#390C2314yes—
192#390C2314yes—
193#389—22no—
194#389—22no—
195#389C2314yes—
196#389C2314yes—
197#387—28no—
198C4×C4⋊C4D414yes—
199C4×C4⋊C4C2314yes—
200C2×#95—21no—
201C2×#95—21no—
202C2×#95—21no—
203C2×#95—21no—
204C2×#95—21no—
205C2×#95—21no—
206C2×#95D411yescharacteristic
207C2×#95D411yescharacteristic
208#340C2314yes—
209#340C2314yes—
210#336C2314yes—
211#336C2314yes—
212#336C2314yes—
213#336C2314yes—
214C25—21no—
215C25—21no—
216C22×Q8—21no—
217C22×Q8—21no—
218C22×Q8—24no—
219C22×Q8—22no—
220C22×Q8—22no—
221C22×Q8—22no—
222C22×Q8—22no—
223C22×Q8—22no—
224C22×Q8—22no—
225C22×Q8—22no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—44no—
230C22×Q8—44no—
231C22×Q8—82no—
232C22×Q8C2×D414yes—
233C22×Q8#4114yes—
234C22×Q8C2412yes—
235C22×Q8C2412yes—
236C22×D4—22no—
237C22×D4—22no—
238C22×D4—21no—
239C22×D4—21no—
240C22×D4—24no—
241C22×D4—24no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4—82no—
257C22×D4—82no—
258C22×D4C2412yes—
259C22×D4C2412yes—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2411yescharacteristic
273C2×Q16—28no—
274C2×Q16—28no—
275C2×Q16—44no—
276C2×Q16—416no—
277C2×SD16—28no—
278C2×SD16—28no—
279C2×SD16—28no—
280C2×SD16—44no—
281C2×SD16—44no—
282C2×SD16—44no—
283C2×SD16—416no—
284C2×SD16—416no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—22no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—22no—
293C22×C8—22no—
294C22×C8—22no—
295C22×C8—22no—
296C22×C8C2×D414yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—28no—
302C4⋊Q8—44no—
303C4⋊Q8—48no—
304#127—44no—
305#127—44no—
306#127—48no—
307#124—28no—
308#124—28no—
309#124—44no—
310#124—44no—
311#124—48no—
312#124—48no—
313C4×Q8—28no—
314C4×Q8—44no—
315C4×Q8—44no—
316C4×Q8—44no—
317C4×Q8—48no—
318C4×Q8—48no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4—82no—
342C2×C4⋊C4C2×D414yes—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2×D414yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4—82no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4—82no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—44no—
374C2×C42—44no—
375C2×C42C2×D412yes—
376C2×C42C2×D412yes—
377C2×C42C2×D412yes—
378C2×C42C2412yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381#107—44no—
382C4⋊C8—28no—
383#103—28no—
384#103—44no—
385#103—44no—
386#103C2×D4116yescomplemented
387#102—28no—
388#102—28no—
389#102—28no—
390#102—44no—
391#102—44no—
392#102—44no—
393#97—28no—
394#95—24no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95C2×D414yes—
401#95C2×D414yes—
402C24—22no—
403C24—22no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24C22×D411yescharacteristic
419C2×Q8—24no—
420C2×Q8—24no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—28no—
424C2×Q8—28no—
425C2×Q8—28no—
426C2×Q8—28no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—48no—
436C2×Q8—48no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—84no—
446C2×Q8—816no—
447C2×Q8C22×D414yes—
448C2×Q8C2×#4114yes—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—44no—
473C2×D4—44no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—48no—
479C2×D4—84no—
480C2×D4—84no—
481C2×D4—816no—
482C2×D4—816no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4#13714yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C2×#4112yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4H(5,𝔽2)12yes—
537C22×C42−1+412yes—
538C22×C4C2511yescharacteristic
539Q16—416no—
540SD16—416no—
541SD16—416no—
542C2×C8—28no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—44no—
555C2×C8—44no—
556C2×C8—44no—
557C2×C8C22×D414yes—
558C4⋊C4—24no—
559C4⋊C4—28no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—44no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—48no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—84no—
575C4⋊C4—84no—
576C4⋊C4C22×D414yes—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—84no—
582C22⋊C4—84no—
583C22⋊C4—84no—
584C22⋊C4—84no—
585C42—24no—
586C42—24no—
587C42—24no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—48no—
595C42—48no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23#53512yes—
625C23D4212yes—
626C23#54812yes—
627C23C2×#13712yes—
628C23#57512yes—
629C23#57612yes—
630C23#57712yes—
631C23C23×D411yescharacteristic
632Q8—24no—
633Q8—24no—
634Q8—24no—
635Q8—24no—
636Q8—48no—
637Q8—48no—
638Q8—42no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—816no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—42no—
651D4—816no—
652D4—816no—
653D4—84no—
654D4—84no—
655C2×C4—22no—
656C2×C4—28no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4#53512yes—
703C2×C4#53714yes—
704C2×C4#53814yes—
705C2×C4D4212yes—
706C2×C4#54614yes—
707C2×C4#54812yes—
708C2×C4#56214yes—
709C2×C4C2×#13714yes—
710C2×C4C23×D411yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×2−1+411yescharacteristic
716C8—24no—
717C8—42no—
718C8—42no—
719C8—42no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—168no—
735C22—168no—
736C22#267614yes—
737C22#321514yes—
738C22#322414yes—
739C22#326814yes—
740C22#327814yes—
741C22#337114yes—
742C22#337514yes—
743C22C2×#53511yescharacteristic
744C22C2×D4211yescharacteristic
745C22C2×#54811yescharacteristic
746C22C22×#13711yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57611yescharacteristic
749C22C2×#57711yescharacteristic
750C4—24no—
751C4—42no—
752C4—42no—
753C4—44no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—44no—
758C4—44no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4#267614yes—
763C4C2×#53711yescharacteristic
764C4C2×#53811yescharacteristic
765C4C2×#54611yescharacteristic
766C4C2×#56211yescharacteristic
767C2—162no—
768C2—162no—
769C2#3090518yesdirect product factor
770C2C2×#267611yescharacteristic
771C2C2×#321511yescharacteristic
772C2C2×#322411yescharacteristic
773C2C2×#326811yescharacteristic
774C2C2×#327811yescharacteristic
775C2C2×#337511yescharacteristic
776C2C2×#337111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#489C2semidirect
2. C22×#464C2semidirect
4. C2×#2451C2semidirect
5. #30905C2direct (N × H)
6. C2×#2067C2semidirect
7. C2×#2042C2semidirect
9. C2×#2023C2semidirect
10. C2×#2015C2semidirect
12. C2×#1973C2semidirect
13. C2×#1917C2semidirect
14. C2×#1880C2semidirect
15. C2×#1878C2semidirect
16. C2×#1863C2semidirect
27. C2×#489C22semidirect
29. C2×#464C22semidirect
46. #2451C22semidirect
62. #2067C22semidirect
63. #2042C22semidirect
65. #2023C22semidirect
66. #2015C22semidirect
68. #1973C22semidirect
69. #1917C22semidirect
70. #1880C22semidirect
71. #1878C22semidirect
72. #1863C22semidirect
159. C2×#103D4semidirect
386. #103C2×D4semidirect
769. C2#30905direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4892
C22×#4642
C2×#25482
C2×#24512
#309052
C2×#20672
C2×#20422
C2×#20412
C2×#20232
C2×#20152
C2×#20142
C2×#19732
C2×#19172
C2×#18802
C2×#18782
C2×#18632