Finite Group Databasebeta

← #6682975

Subgroups — #6682975

Order 512.

2159 conjugacy classes of subgroups.

The subgroup lattice has 1487 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3248C211yesmaximal, characteristic, complemented
2C2×#3050C211yesmaximal, characteristic
3#36148C211yesmaximal, characteristic, complemented
4#36143C211yesmaximal, characteristic, complemented
5#32931C211yesmaximal, characteristic, complemented
6#30916C211yesmaximal, characteristic, complemented
7#30909C211yesmaximal, characteristic, complemented
8#30853C211yesmaximal, characteristic, complemented
9#30849C211yesmaximal, characteristic, complemented
10#30670C211yesmaximal, characteristic, complemented
11#30661C211yesmaximal, characteristic, complemented
12#30597C211yesmaximal, characteristic, complemented
13#30590C211yesmaximal, characteristic, complemented
14#30244C211yesmaximal, characteristic, complemented
15#29775C211yesmaximal, characteristic, complemented
16#26351C211yesmaximal, characteristic, complemented
17#26337C211yesmaximal, characteristic, complemented
18#25961C211yesmaximal, characteristic, complemented
19#25954C211yesmaximal, characteristic, complemented
20#25500C211yesmaximal, characteristic, complemented
21#25498C211yesmaximal, characteristic, complemented
22#25089C211yesmaximal, characteristic, complemented
23#25079C211yesmaximal, characteristic, complemented
24#24754C211yesmaximal, characteristic, complemented
25#24752C211yesmaximal, characteristic, complemented
26#24383C211yesmaximal, characteristic, complemented
27#24383C211yesmaximal, characteristic, complemented
28#24365C211yesmaximal, characteristic, complemented
29#24363C211yesmaximal, characteristic, complemented
30#22185C211yesmaximal, characteristic, complemented
31C2×#1850C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C24×C8C2211yescharacteristic
34C2×#533C2211yescharacteristic
35C2×#529C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38#3248—28no—
39C2×#479C2211yescharacteristic, complemented
40C2×#479C2211yescharacteristic, complemented
41C2×#475C2211yescharacteristic, complemented
42C2×#474C2211yescharacteristic, complemented
43#3050—28no—
44C2×#467C2211yescharacteristic
45C2×#467C2211yescharacteristic
46C2×#467C2211yescharacteristic
47C2×#467C2211yescharacteristic
48C2×#467C2211yescharacteristic
49C2×#467C2211yescharacteristic
50C2×#467C2211yescharacteristic
51C2×#466C2211yescharacteristic
52C2×#466C2211yescharacteristic
53C2×#465C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#465C2211yescharacteristic
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic
59C2×#464C2211yescharacteristic, complemented
60C2×#464C2211yescharacteristic, complemented
61C2×#462C2211yescharacteristic, complemented
62C2×#462C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#461C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#427C2211yescharacteristic
68C22×C4⋊C8C2211yescharacteristic
69C22×C4⋊C8C2211yescharacteristic
70C2×#416C2211yescharacteristic
71C2×#416C2211yescharacteristic
72C22×C22⋊C8C2211yescharacteristic
73#2857C2211yescharacteristic
74#2855C2211yescharacteristic
75#2854C2211yescharacteristic
76#2850C2211yescharacteristic
77#2848C2211yescharacteristic
78#2848C2211yescharacteristic
79#2558—21no—
80#2553—21no—
81#2534—21no—
82#2491C2211yescharacteristic
83#2489C2211yescharacteristic
84#2472—21no—
85#2470—21no—
86#2466—21no—
87#2460—21no—
88#2458—21no—
89#2450—21no—
90#2441C2211yescharacteristic
91#2439C2211yescharacteristic
92#2432C2211yescharacteristic
93#2432C2211yescharacteristic
94#2429C2211yescharacteristic
95#2429C2211yescharacteristic
96#2427C2211yescharacteristic
97#2426C2211yescharacteristic
98#2422C2211yescharacteristic
99#2421C2211yescharacteristic
100#2419—21no—
101#2418—21no—
102#2411—21no—
103#2367—21no—
104#2362C2211yescharacteristic
105#2362C2211yescharacteristic
106#2359—21no—
107#2359—21no—
108#2349—21no—
109#2341C2211yescharacteristic
110#2339C2211yescharacteristic
111C4×C22⋊Q8C2211yescharacteristic
112C4×#121C2211yescharacteristic
113C2×C4×C22⋊C4C2211yescharacteristic
114#2097C2211yescharacteristic, complemented
115#2097C2211yescharacteristic, complemented
116#2096C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2088C2211yescharacteristic, complemented
119#2088C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2068C2211yescharacteristic, complemented
124#2068C2211yescharacteristic, complemented
125#2067C2211yescharacteristic, complemented
126#2067C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2059C2211yescharacteristic, complemented
129#2057C2211yescharacteristic, complemented
130#2056C2211yescharacteristic, complemented
131#2056C2211yescharacteristic, complemented
132#2055C2211yescharacteristic, complemented
133#2055C2211yescharacteristic, complemented
134#2055C2211yescharacteristic, complemented
135#2054C2211yescharacteristic, complemented
136#2043C2211yescharacteristic, complemented
137#2042C2211yescharacteristic, complemented
138#2035C2211yescharacteristic
139#2035C2211yescharacteristic
140#2033C2211yescharacteristic
141#2033C2211yescharacteristic
142#2025C2211yescharacteristic, complemented
143#2024C2211yescharacteristic, complemented
144#2016C2211yescharacteristic, complemented
145#2016C2211yescharacteristic, complemented
146#2015C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2013C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2001C2211yescharacteristic
151#2001C2211yescharacteristic
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic
154#1983C2211yescharacteristic, complemented
155#1981C2211yescharacteristic, complemented
156#1949C2211yescharacteristic, complemented
157#1947C2211yescharacteristic, complemented
158#1928C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1920C2211yescharacteristic, complemented
161#1919C2211yescharacteristic, complemented
162#1893C2211yescharacteristic
163#1893C2211yescharacteristic
164#1892C2211yescharacteristic
165#1892C2211yescharacteristic
166#1892C2211yescharacteristic
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic
169#1892C2211yescharacteristic
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1873C2211yescharacteristic
179#1873C2211yescharacteristic
180#1864C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1863C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1854C2211yescharacteristic
187#1854C2211yescharacteristic
188#1850C2211yescharacteristic
189#1850C2211yescharacteristic
190#1850C2211yescharacteristic
191#1850C2211yescharacteristic
192#1850C2211yescharacteristic
193#1850C2211yescharacteristic
194#1850C2211yescharacteristic
195#1850C2211yescharacteristic
196#1808C2211yescharacteristic
197#1808C2211yescharacteristic
198#1808C2211yescharacteristic
199#1804C2211yescharacteristic, complemented
200#1803C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic
203C2×#336C2211yescharacteristic
204C2×#336C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C2×#135—24no—
209C2×#135—42no—
210C2×#135—42no—
211C22×Q16C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C23×C8—24no—
221C23×C8—42no—
222C23×C8—42no—
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#533—24no—
232#533—42no—
233C2×C4⋊Q8C2311yescharacteristic
234C2×C4⋊Q8C2311yescharacteristic
235C2×C4⋊Q8C2311yescharacteristic
236#529—24no—
237#529—42no—
238C2×#126—21no—
239C2×#125—21no—
240C2×#125C2311yescharacteristic
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244#525—24no—
245#525—24no—
246#525—42no—
247#525—42no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#120—21no—
269C2×#120—21no—
270C2×C4×Q8—21no—
271C2×C4×Q8C2311yescharacteristic
272C2×C4×Q8C2311yescharacteristic
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×D4—21no—
276C2×C4×D4—21no—
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×#117—21no—
284C2×#117—21no—
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C22⋊C4D411yescharacteristic
288C22×C22⋊C4D411yescharacteristic
289C22×C42C2311yescharacteristic
290C22×C42C2311yescharacteristic
291#479—24no—
292#479—24no—
293#475—24no—
294#474—24no—
295#467—24no—
296#467—24no—
297#467—24no—
298#467—24no—
299#467—42no—
300#467—42no—
301#467—42no—
302#466—24no—
303#466—24no—
304#465—24no—
305#465—24no—
306#465—24no—
307#465—24no—
308#465—42no—
309#465D418yes—
310#464—24no—
311#464—24no—
312#463—42no—
313#462—24no—
314#462—42no—
315#461—24no—
316#452—42no—
317#452—42no—
318#427—24no—
319C2×#107C2311yescharacteristic
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#106C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×C4⋊C8—24no—
331C2×C4⋊C8—42no—
332C2×C4⋊C8C2311yescharacteristic
333C2×C4⋊C8C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339C2×C4⋊C8C2311yescharacteristic
340#416—24no—
341#416—24no—
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×C22⋊C8—42no—
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377#400—21no—
378#400—21no—
379#399—21no—
380#398—21no—
381#398—21no—
382#397—21no—
383#397—21no—
384#397—21no—
385#397—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#396—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#393—21no—
400#393—21no—
401#391—21no—
402#391C2311yescharacteristic
403#391C2311yescharacteristic
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#390—21no—
409#390—21no—
410#390—21no—
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#389—21no—
416#389—21no—
417#389—21no—
418#389—21no—
419#389—21no—
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#387—21no—
445#387—21no—
446#387—21no—
447#387—21no—
448#387—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#384C2311yescharacteristic
470#382—21no—
471#382C2311yescharacteristic
472#381—21no—
473#381—21no—
474#380—21no—
475#380—21no—
476#380—21no—
477#380—21no—
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#379—21no—
485#379—21no—
486C4×C4⋊C4—21no—
487C4×C4⋊C4—21no—
488C4×C4⋊C4—21no—
489C4×C4⋊C4C2311yescharacteristic
490C4×C4⋊C4C2311yescharacteristic
491C4×C22⋊C4—21no—
492C4×C22⋊C4—21no—
493C4×C22⋊C4—21no—
494C4×C22⋊C4D411yescharacteristic
495C4×C22⋊C4D411yescharacteristic
496C4×C22⋊C4D411yescharacteristic
497C4×C22⋊C4D411yescharacteristic
498C4×C22⋊C4C2311yescharacteristic
499C4×C22⋊C4C2311yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502C2×#95—21no—
503C2×#95D411yescharacteristic
504C2×#95D411yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527C25C2×D411yescharacteristic
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—22no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C22×Q8—21no—
541C22×Q8C2411yescharacteristic
542C22×Q8C2411yescharacteristic
543C22×Q8C2411yescharacteristic
544C22×Q8C2411yescharacteristic
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2×D411yescharacteristic
566C23×C4C2×D411yescharacteristic
567C23×C4C2×D411yescharacteristic
568C23×C4C2×D411yescharacteristic
569C23×C4C2×D411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573#135—416no—
574C2×Q16—22no—
575C2×Q16—22no—
576C2×Q16—22no—
577C2×Q16—22no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×Q16—41no—
585C2×Q16—41no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16C2×D414yes—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—22no—
604C22×C8—22no—
605C22×C8—22no—
606C22×C8—22no—
607C22×C8—22no—
608C22×C8—22no—
609C22×C8—22no—
610C22×C8—22no—
611C22×C8—22no—
612C22×C8—22no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8—41no—
622C22×C8—41no—
623C22×C8—41no—
624C22×C8—416no—
625C22×C8C2×D414yes—
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C4⋊Q8—22no—
635C4⋊Q8—22no—
636C4⋊Q8—41no—
637C4⋊Q8—41no—
638C4⋊Q8—41no—
639C4⋊Q8—41no—
640#126—44no—
641#125—22no—
642#125—41no—
643#125—44no—
644#124—22no—
645#124—41no—
646#124—41no—
647#124—41no—
648#124—44no—
649#123—44no—
650#123—44no—
651#123—44no—
652#123—44no—
653#123—44no—
654C22⋊Q8—22no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662C22⋊Q8—22no—
663C22⋊Q8—22no—
664C22⋊Q8—22no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—44no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8C2×D414yes—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—41no—
681#121—41no—
682#121C2×D414yes—
683#120—44no—
684#120—44no—
685C4×Q8—22no—
686C4×Q8—22no—
687C4×Q8—22no—
688C4×Q8—41no—
689C4×Q8—41no—
690C4×Q8—41no—
691C4×Q8—44no—
692C4×Q8—41no—
693C4×Q8—41no—
694C4×D4—22no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—44no—
699C4×D4—44no—
700C4×D4—44no—
701C4×D4—44no—
702C4×D4—44no—
703C4×D4—44no—
704#117—22no—
705#117—22no—
706#117—44no—
707#117—44no—
708#117—41no—
709#117—41no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—24no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C42—22no—
796C2×C42—22no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42—21no—
800C2×C42—21no—
801C2×C42—21no—
802C2×C42—21no—
803C2×C42—21no—
804C2×C42—21no—
805C2×C42—41no—
806C2×C42—41no—
807C2×C42C2×D411yescharacteristic
808C2×C42C2×D411yescharacteristic
809C2×C42C2×D411yescharacteristic
810C2×C42C2×D411yescharacteristic
811C2×C42C2411yescharacteristic
812C2×C42C2411yescharacteristic
813C2×C42C2411yescharacteristic
814C2×C42C2411yescharacteristic
815#107—22no—
816#107—22no—
817#107—22no—
818#107—22no—
819#107—41no—
820#107—41no—
821#107—41no—
822#106—22no—
823#106—22no—
824#106—41no—
825#106C2×D414yes—
826C4⋊C8—22no—
827C4⋊C8—22no—
828C4⋊C8—22no—
829C4⋊C8—22no—
830C4⋊C8—22no—
831C4⋊C8—22no—
832C4⋊C8—41no—
833C4⋊C8—41no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—22no—
838#103—22no—
839#103—22no—
840#103—22no—
841#103—22no—
842#103—22no—
843#103—22no—
844#103—41no—
845#103—41no—
846#103—41no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#103—41no—
852#103—41no—
853#103C2×D414yes—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102C2×D414yes—
864C22⋊C8—22no—
865C22⋊C8—22no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901#95C2×D411yescharacteristic
902#95C2×D411yescharacteristic
903#95C2×D411yescharacteristic
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—21no—
910C24—21no—
911C24—41no—
912C24—41no—
913C24C22×D411yescharacteristic
914C24C22×D411yescharacteristic
915C24C22×D411yescharacteristic
916#41—44no—
917#41—44no—
918#41—44no—
919#41—44no—
920#41—82no—
921#41—82no—
922#41—82no—
923#41—82no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—21no—
938C2×Q8—21no—
939C2×Q8—21no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—21no—
947C2×Q8—42no—
948C2×Q8—42no—
949C2×Q8—81no—
950C2×Q8C22×D412yes—
951C2×D4—24no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4C22×D412yes—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D412yes—
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4H(5,𝔽2)12yes—
1059C22×C4H(5,𝔽2)12yes—
1060C22×C42−1+412yes—
1061C22×C4C2511yescharacteristic
1062Q16—44no—
1063Q16—82no—
1064Q16—82no—
1065Q16—82no—
1066SD16—44no—
1067SD16—44no—
1068SD16—82no—
1069SD16—82no—
1070D8—44no—
1071C2×C8—28no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—44no—
1094C2×C8—44no—
1095C2×C8—44no—
1096C2×C8—44no—
1097C2×C8—44no—
1098C2×C8—82no—
1099C2×C8—82no—
1100C2×C8C22×D412yes—
1101C2×C8C22×D412yes—
1102C2×C8H(5,𝔽2)12yes—
1103C4⋊C4—24no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—42no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—81no—
1143C4⋊C4—81no—
1144C4⋊C4—81no—
1145C4⋊C4—81no—
1146C4⋊C4—81no—
1147C4⋊C4—81no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4C22×D412yes—
1151C4⋊C4C22×D412yes—
1152C22⋊C4—24no—
1153C22⋊C4—22no—
1154C22⋊C4—24no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4#13514yescomplemented
1196C42—22no—
1197C42—22no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—41no—
1207C42—41no—
1208C42—42no—
1209C42—42no—
1210C42—42no—
1211C42—42no—
1212C42—42no—
1213C42—42no—
1214C42—42no—
1215C42—81no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—28no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—22no—
1234C23—44no—
1235C23—44no—
1236C23—44no—
1237C23—44no—
1238C23—44no—
1239C23—44no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23#53712yes—
1254C23D4212yes—
1255C23C2×#13512yes—
1256C23#57512yes—
1257C23#57812yes—
1258C23C23×D411yescharacteristic
1259Q8—22no—
1260Q8—22no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—84no—
1276D4—22no—
1277D4—22no—
1278D4—48no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—84no—
1286D4—84no—
1287D4—84no—
1288D4—84no—
1289D4—84no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—44no—
1331C2×C4—44no—
1332C2×C4—44no—
1333C2×C4—44no—
1334C2×C4—44no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—44no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—84no—
1380C2×C4—84no—
1381C2×C4—84no—
1382C2×C4—82no—
1383C2×C4—162no—
1384C2×C4#53712yes—
1385C2×C4D4212yes—
1386C2×C4C2×#13512yes—
1387C2×C4C2×#13512yes—
1388C2×C4C23×D411yescharacteristic
1389C2×C4C2×H(5,𝔽2)11yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×2−1+411yescharacteristic
1393C2×C4#58511yescharacteristic
1394C8—22no—
1395C8—22no—
1396C8—22no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—416no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22#326914yes—
1438C22C2×#53711yescharacteristic
1439C22C2×D4211yescharacteristic
1440C22#349611yescharacteristic
1441C22C22×#13511yescharacteristic
1442C22C2×#57511yescharacteristic
1443C22C2×#57811yescharacteristic
1444C22#358411yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—41no—
1450C4—42no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—41no—
1458C4—42no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4#348411yescharacteristic
1471C4#348911yescharacteristic
1472C4#353411yescharacteristic
1473C4#353611yescharacteristic
1474C2—24no—
1475C2—42no—
1476C2—42no—
1477C2—82no—
1478C2—161no—
1479C2#3767311yescharacteristic
1480C2#6090011yescharacteristic
1481C2#6093611yescharacteristic
1482C2C2×#326911yescharacteristic
1483C2D4×#13511yescharacteristic
1484C2#6225211yescharacteristic
1485C2#6225511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3050C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3248C2semidirect
3. #36148C2semidirect
4. #36143C2semidirect
5. #32931C2semidirect
6. #30916C2semidirect
7. #30909C2semidirect
8. #30853C2semidirect
9. #30849C2semidirect
10. #30670C2semidirect
11. #30661C2semidirect
12. #30597C2semidirect
13. #30590C2semidirect
14. #30244C2semidirect
15. #29775C2semidirect
16. #26351C2semidirect
17. #26337C2semidirect
18. #25961C2semidirect
19. #25954C2semidirect
20. #25500C2semidirect
21. #25498C2semidirect
22. #25089C2semidirect
23. #25079C2semidirect
24. #24754C2semidirect
25. #24752C2semidirect
26. #24383C2semidirect
27. #24383C2semidirect
28. #24365C2semidirect
29. #24363C2semidirect
30. #22185C2semidirect
31. C2×#1850C2semidirect
39. C2×#479C22semidirect
40. C2×#479C22semidirect
41. C2×#475C22semidirect
42. C2×#474C22semidirect
59. C2×#464C22semidirect
60. C2×#464C22semidirect
61. C2×#462C22semidirect
62. C2×#462C22semidirect
63. C2×#463C22semidirect
64. C2×#461C22semidirect
114. #2097C22semidirect
115. #2097C22semidirect
116. #2096C22semidirect
117. #2093C22semidirect
118. #2088C22semidirect
119. #2088C22semidirect
120. #2068C22semidirect
121. #2068C22semidirect
122. #2068C22semidirect
123. #2068C22semidirect
124. #2068C22semidirect
125. #2067C22semidirect
126. #2067C22semidirect
127. #2065C22semidirect
128. #2059C22semidirect
129. #2057C22semidirect
130. #2056C22semidirect
131. #2056C22semidirect
132. #2055C22semidirect
133. #2055C22semidirect
134. #2055C22semidirect
135. #2054C22semidirect
136. #2043C22semidirect
137. #2042C22semidirect
142. #2025C22semidirect
143. #2024C22semidirect
144. #2016C22semidirect
145. #2016C22semidirect
146. #2015C22semidirect
147. #2015C22semidirect
148. #2013C22semidirect
149. #2012C22semidirect
154. #1983C22semidirect
155. #1981C22semidirect
156. #1949C22semidirect
157. #1947C22semidirect
158. #1928C22semidirect
159. #1925C22semidirect
160. #1920C22semidirect
161. #1919C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
174. #1879C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1877C22semidirect
180. #1864C22semidirect
181. #1863C22semidirect
182. #1863C22semidirect
183. #1863C22semidirect
184. #1863C22semidirect
185. #1862C22semidirect
199. #1804C22semidirect
200. #1803C22semidirect
1195. C22⋊C4#135semidirect

Maximal subgroups

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

subgroupindex
C2×#32482
C2×#30502
#361482
#361432
#329312
#309162
#309092
#308532
#308492
#306702
#306612
#305972
#305902
#302442
#297752
#263512
#263372
#259612
#259542
#255002
#254982
#250892
#250792
#247542
#247522
#243832
#243652
#243632
#221852
C2×#18502