Finite Group Databasebeta

← #482641

Subgroups — #482641

Order 512.

1163 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34957C211yesmaximal, characteristic
2C2×#1799C211yesmaximal, characteristic, complemented
3#17364C211yesmaximal, characteristic, complemented
4#11902C212yesmaximal, complemented
5#11876C212yesmaximal, complemented
6#11822C212yesmaximal, complemented
7#11820C212yesmaximal, complemented
8#11759C212yesmaximal, complemented
9#11757C212yesmaximal, complemented
10C2×#525C411yescharacteristic, complemented
11C22×C4×D4C2211yescharacteristic
12#2920—21no—
13C22×#99—21no—
14#2602—21no—
15#2602—21no—
16#2591C411yescharacteristic, complemented
17#2583C411yescharacteristic, complemented
18#2564C411yescharacteristic, complemented
19#2564C2211yescharacteristic
20#2561C2211yescharacteristic
21#2543C411yescharacteristic, complemented
22#2543C2211yescharacteristic
23#2539C2211yescharacteristic
24#2412—21no—
25#2410—21no—
26#2395C411yescharacteristic, complemented
27#2395C2211yescharacteristic
28#2388C411yescharacteristic, complemented
29#2388C2211yescharacteristic
30C4×#123—21no—
31C4×#121—21no—
32C4×#121—21no—
33C4×#120—21no—
34C2×#380—21no—
35C2×C4×C22⋊C4C411yescharacteristic, complemented
36#1799—21no—
37#1799—21no—
38#1799C2212yes—
39#1799C2212yes—
40C2×#342C2212yes—
41#1466—21no—
42#1466C2212yes—
43#1462—21no—
44#1462C2212yes—
45#1460—21no—
46#1460C2212yes—
47#1352C2214yescomplemented
48#1351C2214yescomplemented
49#1344C2214yescomplemented
50#1343C2214yescomplemented
51C22×#41C2×C411yescharacteristic, complemented
52C23×D4D411yescharacteristic
53C24×C4C2×C411yescharacteristic
54C24×C4D411yescharacteristic
55#525—41no—
56#525—41no—
57#525—41no—
58#525—41no—
59C2×#123—21no—
60C2×#123—21no—
61C2×C22⋊Q8C2×C411yescharacteristic
62C2×C22⋊Q8C2×C411yescharacteristic, complemented
63C2×#121—21no—
64C2×#121—21no—
65C2×#121C2×C411yescharacteristic
66C2×#121C2×C411yescharacteristic, complemented
67C2×#120—21no—
68C2×#120—21no—
69C2×C4×D4—21no—
70C2×C4×D4—21no—
71C2×C4×D4—21no—
72C2×C4×D4—21no—
73C2×C4×D4—41no—
74C2×C4×D4—41no—
75C2×C4×D4—41no—
76C2×C4×D4—41no—
77C2×C4×D4C2×C411yescharacteristic
78C2×C4×D4C2×C411yescharacteristic
79C2×C4×D4D411yescharacteristic
80C2×C4×D4D411yescharacteristic
81C2×C4×D4D411yescharacteristic
82C2×C4×D4D411yescharacteristic
83C2×C4×D4C2311yescharacteristic
84C2×C4×D4C2311yescharacteristic
85C2×#117C2×C411yescharacteristic, complemented
86C22×C4⋊C4—41no—
87C22×C4⋊C4C2×C411yescharacteristic
88C22×C22⋊C4—21no—
89C22×C22⋊C4—22no—
90C22×C22⋊C4D411yescharacteristic
91C22×C22⋊C4C2311yescharacteristic
92C22×C42—21no—
93C22×C42D411yescharacteristic
94#432—22no—
95#432—41no—
96#431—22no—
97#431—41no—
98#423—41no—
99C2×#99—22no—
100C2×#99—22no—
101C2×#99—44no—
102#407—22no—
103C4×M16—41no—
104#400C2×C411yescharacteristic, complemented
105#400C2×C411yescharacteristic, complemented
106#399C2×C411yescharacteristic
107#399C2311yescharacteristic
108#398C2×C411yescharacteristic, complemented
109#398C2×C411yescharacteristic, complemented
110#397—21no—
111#397—21no—
112#397C2×C411yescharacteristic
113#397C2311yescharacteristic
114#395C2×C411yescharacteristic, complemented
115#395C2×C411yescharacteristic, complemented
116#394—21no—
117#394—21no—
118#394—21no—
119#394—21no—
120#394C2×C411yescharacteristic, complemented
121#394C2×C411yescharacteristic, complemented
122#393C2×C411yescharacteristic
123#393C2311yescharacteristic
124#392—21no—
125#392—21no—
126#392C2×C411yescharacteristic
127#392C2311yescharacteristic
128#390—21no—
129#390—21no—
130#389—21no—
131#389—21no—
132#388—21no—
133#388—21no—
134#388—21no—
135#388—21no—
136#388—21no—
137#388—21no—
138#387—21no—
139#387—21no—
140#386—21no—
141#386—21no—
142#386—21no—
143#386—21no—
144#386—21no—
145#386—21no—
146#386—21no—
147#386—21no—
148#385—21no—
149#385—21no—
150#385—21no—
151#385—21no—
152#381—21no—
153#380—21no—
154#380—21no—
155#380—22no—
156#380—22no—
157#380—41no—
158#380—41no—
159#379—21no—
160C4×C4⋊C4—21no—
161C4×C4⋊C4—21no—
162C4×C22⋊C4—21no—
163C4×C22⋊C4—21no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C4×C22⋊C4C2×C411yescharacteristic
169C4×C22⋊C4C2×C411yescharacteristic
170C4×C22⋊C4C2×C411yescharacteristic, complemented
171C4×C22⋊C4C2×C411yescharacteristic, complemented
172C2×#95—41no—
173C2×#95C2×C411yescharacteristic, complemented
174C2×#95C2×C411yescharacteristic, complemented
175#342—22no—
176#342C2314yes—
177#323—22no—
178#323—22no—
179#323—22no—
180#323C2314yes—
181C25C22⋊C411yescharacteristic
182C25C2×D411yescharacteristic
183C2×#41—41no—
184C2×#41—41no—
185C2×#41—82no—
186C22×Q8C22×C411yescharacteristic
187C22×D4—22no—
188C22×D4—22no—
189C22×D4—21no—
190C22×D4—21no—
191C22×D4—21no—
192C22×D4—21no—
193C22×D4—21no—
194C22×D4—41no—
195C22×D4—41no—
196C22×D4—42no—
197C22×D4C22⋊C411yescharacteristic
198C22×D4C22⋊C411yescharacteristic
199C22×D4C22×C411yescharacteristic
200C22×D4C2×D411yescharacteristic
201C22×D4C2×D411yescharacteristic
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—21no—
208C23×C4—21no—
209C23×C4—21no—
210C23×C4—21no—
211C23×C4—21no—
212C23×C4—21no—
213C23×C4—42no—
214C23×C4—82no—
215C23×C4—82no—
216C23×C4C22⋊C411yescharacteristic
217C23×C4C22⋊C411yescharacteristic
218C23×C4C22⋊C411yescharacteristic
219C23×C4C22⋊C411yescharacteristic
220C23×C4C22⋊C411yescharacteristic
221C23×C4C22⋊C411yescharacteristic
222C23×C4C22⋊C411yescharacteristic
223C23×C4C22×C411yescharacteristic
224C23×C4C22×C411yescharacteristic
225C23×C4C22×C411yescharacteristic
226C23×C4C2×D411yescharacteristic
227C23×C4C2×D411yescharacteristic
228C23×C4C2×D411yescharacteristic
229C2×M16—42no—
230#123—44no—
231#123—42no—
232#123—42no—
233C22⋊Q8—41no—
234C22⋊Q8—41no—
235C22⋊Q8—41no—
236C22⋊Q8—41no—
237#121—41no—
238#121—41no—
239#121—44no—
240#121—42no—
241#121—42no—
242#121—41no—
243#121—41no—
244#120—44no—
245#120—42no—
246#120—42no—
247C4×D4—41no—
248C4×D4—41no—
249C4×D4—41no—
250C4×D4—41no—
251C4×D4—41no—
252C4×D4—41no—
253C4×D4—41no—
254C4×D4—41no—
255C4×D4—41no—
256C4×D4—41no—
257C4×D4—41no—
258C4×D4—41no—
259C4×D4—41no—
260C4×D4—41no—
261C4×D4—41no—
262C4×D4—41no—
263C4×D4—42no—
264C4×D4—42no—
265C4×D4—41no—
266C4×D4—41no—
267C4×D4—41no—
268C4×D4—41no—
269C4×D4—82no—
270C4×D4—82no—
271#117—41no—
272#117—41no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—41no—
282C2×C4⋊C4—41no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—84no—
286C2×C4⋊C4C22⋊C411yescharacteristic
287C2×C4⋊C4C22⋊C411yescharacteristic
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—41no—
318C2×C22⋊C4—41no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22×C411yescharacteristic
325C2×C22⋊C4C2×D411yescharacteristic
326C2×C22⋊C4C2×D411yescharacteristic
327C2×C22⋊C4C2×D411yescharacteristic
328C2×C22⋊C4C2×D411yescharacteristic
329C2×C22⋊C4C2411yescharacteristic
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—82no—
340C2×C42C22⋊C411yescharacteristic
341C2×C42C22⋊C411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2×D411yescharacteristic
344C4⋊C8—42no—
345C4⋊C8—42no—
346#99—44no—
347#99—44no—
348C22⋊C8—24no—
349C22⋊C8—42no—
350#97—42no—
351C4×C8—42no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—42no—
367#95—42no—
368#95C22×C411yescharacteristic
369#95C22×C411yescharacteristic
370#95C22×C411yescharacteristic
371#95C22×C411yescharacteristic
372C24—21no—
373C24—21no—
374C24—21no—
375C24—21no—
376C24—22no—
377C24—21no—
378C24—21no—
379C24—22no—
380C24—21no—
381C24—41no—
382C24—42no—
383C24—42no—
384C24—81no—
385C24—81no—
386C24C2×C22⋊C411yescharacteristic
387C24C2×C22⋊C411yescharacteristic
388C24C2×C22⋊C411yescharacteristic
389C24C2×C22⋊C411yescharacteristic
390C24C22×D411yescharacteristic
391#41—84no—
392#41—84no—
393C2×Q8—41no—
394C2×Q8—81no—
395C2×D4—21no—
396C2×D4—21no—
397C2×D4—22no—
398C2×D4—22no—
399C2×D4—22no—
400C2×D4—22no—
401C2×D4—41no—
402C2×D4—41no—
403C2×D4—41no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—41no—
407C2×D4—41no—
408C2×D4—42no—
409C2×D4—42no—
410C2×D4—44no—
411C2×D4—44no—
412C2×D4—44no—
413C2×D4—44no—
414C2×D4—42no—
415C2×D4—42no—
416C2×D4—42no—
417C2×D4—42no—
418C2×D4—42no—
419C2×D4—41no—
420C2×D4—41no—
421C2×D4—41no—
422C2×D4—41no—
423C2×D4—42no—
424C2×D4—42no—
425C2×D4—81no—
426C2×D4—81no—
427C2×D4—81no—
428C2×D4—81no—
429C2×D4—81no—
430C2×D4AGL(1,ℤ/8)12yes—
431C2×D4#13712yes—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—42no—
465C22×C4—41no—
466C22×C4—44no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—44no—
481C22×C4—82no—
482C22×C4—82no—
483C22×C4—82no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4—82no—
488C22×C4—82no—
489C22×C4—82no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4—82no—
493C22×C4—81no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4—84no—
497C22×C4—84no—
498C22×C4—84no—
499C22×C4#9911yescharacteristic
500C22×C4#9911yescharacteristic
501C22×C4#9911yescharacteristic
502C22×C4#9911yescharacteristic
503C22×C4C2×C22⋊C411yescharacteristic
504C22×C4C2×C22⋊C411yescharacteristic
505C22×C4C2×C22⋊C411yescharacteristic
506C22×C4C2×C22⋊C411yescharacteristic
507C22×C4C2×C22⋊C411yescharacteristic
508C22×C4C2×C22⋊C411yescharacteristic
509C22×C4C2×C22⋊C411yescharacteristic
510C22×C4C2×C22⋊C411yescharacteristic
511C22×C4C23×C411yescharacteristic
512C22×C4C22×D411yescharacteristic
513M16—84no—
514C2×C8—44no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4—42no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—84no—
531C4⋊C4—84no—
532C22⋊C4—24no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—41no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—42no—
557C22⋊C4—41no—
558C22⋊C4—41no—
559C22⋊C4—42no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—84no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—42no—
576C42—42no—
577C42—41no—
578C42—41no—
579C42—81no—
580C42—81no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—81no—
620C23—81no—
621C23—81no—
622C23—81no—
623C23—82no—
624C23—82no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23C2×#9911yescharacteristic
629C23C2×#9911yescharacteristic
630C23#41712yes—
631C23#42112yes—
632C23C22×C22⋊C411yescharacteristic
633C23C2×AGL(1,ℤ/8)11yescharacteristic
634C23C2×#13711yescharacteristic
635Q8—82no—
636D4—42no—
637D4—42no—
638D4—44no—
639D4—44no—
640D4—42no—
641D4—42no—
642D4—82no—
643D4—82no—
644D4—84no—
645D4—82no—
646D4—82no—
647D4—84no—
648D4—84no—
649D4—82no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4—81no—
709C2×C4—81no—
710C2×C4—81no—
711C2×C4—81no—
712C2×C4—81no—
713C2×C4—81no—
714C2×C4—82no—
715C2×C4—81no—
716C2×C4—81no—
717C2×C4—81no—
718C2×C4—81no—
719C2×C4—84no—
720C2×C4—84no—
721C2×C4—82no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4—168no—
726C2×C4C2×#9911yescharacteristic
727C2×C4C2×#9911yescharacteristic
728C2×C4C2×#9911yescharacteristic
729C2×C4C2×#9911yescharacteristic
730C2×C4#41712yes—
731C8—84no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—22no—
741C22—21no—
742C22—22no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—41no—
747C22—41no—
748C22—42no—
749C22—42no—
750C22—44no—
751C22—44no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—81no—
762C22—81no—
763C22—84no—
764C22—81no—
765C22—81no—
766C22—81no—
767C22—81no—
768C22—81no—
769C22—81no—
770C22—82no—
771C22—82no—
772C22—84no—
773C22—81no—
774C22—81no—
775C22—81no—
776C22#212612yes—
777C22C22×#9911yescharacteristic
778C22C2×#41711yescharacteristic
779C22C2×#42111yescharacteristic
780C4—21no—
781C4—21no—
782C4—21no—
783C4—22no—
784C4—42no—
785C4—42no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—41no—
790C4—41no—
791C4—41no—
792C4—41no—
793C4—81no—
794C4—81no—
795C4—81no—
796C4—81no—
797C4—81no—
798C4—164no—
799C4#212112yes—
800C2—21no—
801C2—21no—
802C2—22no—
803C2—41no—
804C2—41no—
805C2—41no—
806C2—42no—
807C2—42no—
808C2—81no—
809C2—161no—
810C2#1759211yescharacteristic
811C2C2×#212111yescharacteristic
812C2C2×#212611yescharacteristic
subgroupG/H
center, socleC22C22×#99
commutatorC22×C4C23×C4
Frattini, cosocleC2×C22⋊C4C24
prime radical#34957C2
LCSG ▷ C22×C4 ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×C4×D4 ◁ G
LECSG ▷ C2×C22⋊C4 ▷ C23 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1799C2semidirect
3. #17364C2semidirect
4. #11902C2semidirect
5. #11876C2semidirect
6. #11822C2semidirect
7. #11820C2semidirect
8. #11759C2semidirect
9. #11757C2semidirect
10. C2×#525C4semidirect
16. #2591C4semidirect
17. #2583C4semidirect
18. #2564C4semidirect
21. #2543C4semidirect
26. #2395C4semidirect
28. #2388C4semidirect
35. C2×C4×C22⋊C4C4semidirect
47. #1352C22semidirect
48. #1351C22semidirect
49. #1344C22semidirect
50. #1343C22semidirect
51. C22×#41C2×C4semidirect
62. C2×C22⋊Q8C2×C4semidirect
66. C2×#121C2×C4semidirect
85. C2×#117C2×C4semidirect
104. #400C2×C4semidirect
105. #400C2×C4semidirect
108. #398C2×C4semidirect
109. #398C2×C4semidirect
114. #395C2×C4semidirect
115. #395C2×C4semidirect
120. #394C2×C4semidirect
121. #394C2×C4semidirect
170. C4×C22⋊C4C2×C4semidirect
171. C4×C22⋊C4C2×C4semidirect
173. C2×#95C2×C4semidirect
174. C2×#95C2×C4semidirect

Maximal subgroups

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

subgroupindex
#349572
C2×#17992
#173642
#119022
#118762
#118222
#118202
#117592
#117572