Finite Group Databasebeta

← #7185311

Subgroups — #7185311

Order 512.

2051 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3366C211yesmaximal, characteristic, complemented
2C2×#3224C211yesmaximal, characteristic, complemented
3#45111C211yesmaximal, characteristic, complemented
4#44876C211yesmaximal, characteristic, complemented
5#31154C211yesmaximal, characteristic, complemented
6#31150C211yesmaximal, characteristic, complemented
7#30892C211yesmaximal, characteristic, complemented
8#30891C211yesmaximal, characteristic, complemented
9#30549C211yesmaximal, characteristic, complemented
10#30547C211yesmaximal, characteristic, complemented
11#30446C211yesmaximal, characteristic, complemented
12#30444C211yesmaximal, characteristic, complemented
13#28741C211yesmaximal, characteristic, complemented
14#28465C211yesmaximal, characteristic, complemented
15#27230C211yesmaximal, characteristic, complemented
16#27229C211yesmaximal, characteristic, complemented
17#26608C211yesmaximal, characteristic, complemented
18#26600C211yesmaximal, characteristic, complemented
19#25940C211yesmaximal, characteristic, complemented
20#25637C211yesmaximal, characteristic, complemented
21#25376C211yesmaximal, characteristic, complemented
22#25373C211yesmaximal, characteristic, complemented
23#25364C211yesmaximal, characteristic, complemented
24#25284C211yesmaximal, characteristic, complemented
25#25174C211yesmaximal, characteristic, complemented
26#25172C211yesmaximal, characteristic, complemented
27#24218C211yesmaximal, characteristic, complemented
28#24166C211yesmaximal, characteristic, complemented
29#23703C211yesmaximal, characteristic, complemented
30#23216C211yesmaximal, characteristic, complemented
31#22103C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic
34C2×#542C2211yescharacteristic
35C2×#535C2211yescharacteristic
36#3366—28no—
37#3224—28no—
38C2×#496C2211yescharacteristic
39C2×#495C2211yescharacteristic
40C2×#495C2211yescharacteristic, complemented
41C2×#493C2211yescharacteristic
42C2×#490C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#489C2211yescharacteristic
45C2×#486C2211yescharacteristic
46C2×#478C2211yescharacteristic
47C2×#478C2211yescharacteristic, complemented
48C2×#476C2211yescharacteristic, complemented
49C2×#464C2211yescharacteristic
50C2×#460C2211yescharacteristic
51C2×#463C2211yescharacteristic
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic
54C2×#463C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic
56C2×#459C2211yescharacteristic
57C2×#459C2211yescharacteristic
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#452C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#446C2211yescharacteristic, complemented
67C2×#442C2211yescharacteristic
68C2×#442C2211yescharacteristic, complemented
69C2×C4×D8C2211yescharacteristic, complemented
70C2×#433C2211yescharacteristic
71#2730—21no—
72#2728—21no—
73#2723—21no—
74#2699—21no—
75#2696—21no—
76#2688—21no—
77#2678—21no—
78#2668—21no—
79#2592C2211yescharacteristic
80#2592C2211yescharacteristic, complemented
81#2544C2211yescharacteristic
82#2544C2211yescharacteristic
83#2544C2211yescharacteristic, complemented
84#2543—21no—
85#2541C2211yescharacteristic
86#2536—21no—
87#2490C2211yescharacteristic
88#2489C2211yescharacteristic
89#2481—21no—
90#2454C2211yescharacteristic, complemented
91#2453C2211yescharacteristic, complemented
92#2447C2211yescharacteristic
93#2445C2211yescharacteristic
94#2443—21no—
95#2433C2211yescharacteristic
96#2431C2211yescharacteristic
97#2430—21no—
98#2428C2211yescharacteristic
99#2427C2211yescharacteristic
100#2426—21no—
101#2424—21no—
102#2404—21no—
103#2396C2211yescharacteristic
104#2367C2211yescharacteristic, complemented
105#2366C2211yescharacteristic
106#2366C2211yescharacteristic, complemented
107#2365C2211yescharacteristic, complemented
108#2339C2211yescharacteristic
109D4×C22⋊C4C2211yescharacteristic
110#2324C2211yescharacteristic
111#2324C2211yescharacteristic
112#2087C2211yescharacteristic, complemented
113#2076C2211yescharacteristic
114#2067C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2066C2211yescharacteristic, complemented
117#2065C2211yescharacteristic
118#2056C2211yescharacteristic, complemented
119#2056C2211yescharacteristic, complemented
120#2055C2211yescharacteristic
121#2054C2211yescharacteristic
122#2054C2211yescharacteristic
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2035C2211yescharacteristic
130#2034C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2026C2211yescharacteristic, complemented
134#2026C2211yescharacteristic, complemented
135#2025C2211yescharacteristic
136#2025C2211yescharacteristic
137#2014C2211yescharacteristic
138#2014C2211yescharacteristic
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2012C2211yescharacteristic
142#2012C2211yescharacteristic
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic, complemented
149#2000C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1988C2211yescharacteristic, complemented
153#1985C2211yescharacteristic, complemented
154#1983C2211yescharacteristic
155#1983C2211yescharacteristic, complemented
156#1983C2211yescharacteristic, complemented
157#1982C2211yescharacteristic
158#1982C2211yescharacteristic
159#1973C2211yescharacteristic
160#1973C2211yescharacteristic
161#1973C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1970C2211yescharacteristic
164#1969C2211yescharacteristic, complemented
165#1940C2211yescharacteristic, complemented
166#1939C2211yescharacteristic, complemented
167#1939C2211yescharacteristic, complemented
168#1934C2211yescharacteristic
169#1934C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1926C2211yescharacteristic
172#1925C2211yescharacteristic
173#1925C2211yescharacteristic, complemented
174#1924C2211yescharacteristic
175#1924C2211yescharacteristic
176#1923C2211yescharacteristic
177#1923C2211yescharacteristic
178#1917C2211yescharacteristic, complemented
179#1917C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1877C2211yescharacteristic
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1865C2211yescharacteristic, complemented
193#1864C2211yescharacteristic, complemented
194#1862C2211yescharacteristic
195#1862C2211yescharacteristic, complemented
196#1798C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199C4×#107C2211yescharacteristic, complemented
200C8×C4⋊C4C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic
204C4×#102C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223#554—24no—
224#554—42no—
225#550—24no—
226#550—42no—
227#542—24no—
228#542—42no—
229#535—24no—
230#535—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#126—21no—
239C2×#125C2311yescharacteristic
240C2×#125C2311yescharacteristic
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247C2×#123—21no—
248C2×#123—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×C4×Q8—21no—
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×#117C2311yescharacteristic
284C22×C4⋊C4—21no—
285C22×C22⋊C4—21no—
286#496—24no—
287#495—24no—
288#495—42no—
289#493—42no—
290#490—24no—
291#490—24no—
292#489—24no—
293#486D418yescomplemented
294#478—24no—
295#478—24no—
296#476—24no—
297#464—24no—
298#463—24no—
299#463—42no—
300#463—42no—
301#463—42no—
302#460—24no—
303#459—24no—
304#459—24no—
305#459—24no—
306#459—24no—
307#459—42no—
308#452—24no—
309#450—24no—
310#449—24no—
311#449—42no—
312#447—24no—
313#447—42no—
314#446—24no—
315#442—24no—
316#442—24no—
317C4×D8—24no—
318#433—24no—
319C2×#107C2311yescharacteristic
320C2×#107C2311yescharacteristic
321C2×#107C2311yescharacteristic
322C2×#106C2311yescharacteristic
323C2×#106C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×#97C2311yescharacteristic
372C2×#97C2311yescharacteristic
373C2×C4×C8C2311yescharacteristic
374C2×C4×C8C2311yescharacteristic
375C2×C4×C8C2311yescharacteristic
376#400—21no—
377#400—21no—
378#400D411yescharacteristic
379#399—21no—
380#399D411yescharacteristic
381#398—21no—
382#398D411yescharacteristic
383#398D411yescharacteristic
384#397—21no—
385#397—21no—
386#397—21no—
387#397—21no—
388#397—21no—
389#397—21no—
390#397—21no—
391#396—21no—
392#396D411yescharacteristic
393#396D411yescharacteristic
394#395D411yescharacteristic
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#393—21no—
407#393—21no—
408#393D411yescharacteristic
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#391—21no—
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#391C2311yescharacteristic
420#391C2311yescharacteristic
421#391C2311yescharacteristic
422#391C2311yescharacteristic
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
427#390—21no—
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#389—21no—
439#389C2311yescharacteristic
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#387—21no—
454#387—21no—
455#387—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#382—21no—
483#381—21no—
484#381—21no—
485#380—21no—
486#380—21no—
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#379—21no—
490C4×C4⋊C4C2311yescharacteristic
491C4×C4⋊C4C2311yescharacteristic
492C4×C4⋊C4C2311yescharacteristic
493C4×C4⋊C4C2311yescharacteristic
494C4×C4⋊C4C2311yescharacteristic
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C22⋊C4—21no—
498C4×C22⋊C4C2311yescharacteristic
499C4×C22⋊C4C2311yescharacteristic
500C2×#95—21no—
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521C25—21no—
522C2×#41—22no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—44no—
529C2×#41—82no—
530C2×#41—82no—
531C22×Q8—21no—
532C22×Q8C2×D411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×Q8C2411yescharacteristic
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C22×D4C2411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2411yescharacteristic
575C2×Q16—22no—
576C2×Q16—41no—
577C2×Q16—41no—
578C2×SD16—22no—
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—22no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
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×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—22no—
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C4⋊Q8—22no—
629C4⋊Q8C2×D414yes—
630#127—22no—
631#127—22no—
632#127—22no—
633#127—22no—
634#127—22no—
635#127—41no—
636#127—41no—
637#127—41no—
638#127—41no—
639#127—41no—
640#127—41no—
641#127C2×D414yes—
642#126—44no—
643#125—22no—
644#125—22no—
645#125—41no—
646#125—41no—
647#124—22no—
648#124—22no—
649#124—22no—
650#124—22no—
651#124—22no—
652#124—22no—
653#124—41no—
654#124—41no—
655#124—41no—
656#124—41no—
657#124—44no—
658#123—44no—
659#123—82no—
660C22⋊Q8—22no—
661C22⋊Q8—41no—
662C22⋊Q8—44no—
663C22⋊Q8—44no—
664C22⋊Q8—44no—
665C22⋊Q8—44no—
666#121—22no—
667#121—22no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—44no—
673#121—44no—
674#121—44no—
675#121—44no—
676#121—44no—
677#121—82no—
678#121—82no—
679#121—82no—
680#120—44no—
681#120—44no—
682#120—82no—
683#120—82no—
684C4×Q8—22no—
685C4×Q8—22no—
686C4×Q8—22no—
687C4×Q8—41no—
688C4×Q8—82no—
689C4×D4—22no—
690C4×D4—22no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—82no—
708C4×D4—82no—
709#117—22no—
710#117—22no—
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—44no—
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2×D411yescharacteristic
732C2×C4⋊C4C2×D411yescharacteristic
733C2×C4⋊C4C2×D411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
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—21no—
787C2×C22⋊C4—82no—
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×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805#107—22no—
806#107—41no—
807#107—41no—
808#106—22no—
809#106—22no—
810C4⋊C8—22no—
811C4⋊C8—22no—
812C4⋊C8—22no—
813C4⋊C8—22no—
814C4⋊C8—22no—
815C4⋊C8—22no—
816C4⋊C8—41no—
817C4⋊C8—41no—
818#103—22no—
819#103—22no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#103—41no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—22no—
834#102—22no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102C2×D414yes—
849#102C2×D414yes—
850#102C2×D414yes—
851#102C2×D414yes—
852C22⋊C8—22no—
853C22⋊C8—22no—
854C22⋊C8—41no—
855C22⋊C8—41no—
856#97—22no—
857#97—22no—
858#97—22no—
859C4×C8—41no—
860C4×C8—41no—
861C4×C8C2×D414yes—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
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#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893#95C2×D411yescharacteristic
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—42no—
901C24—42no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24C22×D411yescharacteristic
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—816no—
913C2×Q8—22no—
914C2×Q8—24no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—41no—
928C2×Q8—41no—
929C2×Q8—81no—
930C2×Q8—81no—
931C2×D4—24no—
932C2×D4—24no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
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—21no—
964C2×D4—21no—
965C2×D4—21no—
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—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4C22×D412yes—
1020C2×D4C22×D412yes—
1021C2×D4H(5,𝔽2)12yes—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—81no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C2511yescharacteristic
1082Q16—82no—
1083SD16—82no—
1084SD16—82no—
1085SD16—82no—
1086SD16—82no—
1087SD16—82no—
1088SD16—82no—
1089D8—44no—
1090D8—44no—
1091D8—44no—
1092D8—82no—
1093D8—82no—
1094D8—82no—
1095D8—82no—
1096D8—82no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8C22×D412yes—
1120C2×C8C22×D412yes—
1121C4⋊C4—24no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4C22×D412yes—
1158C4⋊C4C22×D412yes—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
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—42no—
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—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C42—21no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—42no—
1221C42—42no—
1222C42—81no—
1223C42—81no—
1224C42—81no—
1225C42C22×D412yes—
1226C42H(5,𝔽2)12yes—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—22no—
1232C23—22no—
1233C23—21no—
1234C23—22no—
1235C23—21no—
1236C23—21no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
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—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—84no—
1277C23—84no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23C23×D411yescharacteristic
1284Q8—44no—
1285Q8—41no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—41no—
1293Q8—84no—
1294D4—22no—
1295D4—22no—
1296D4—22no—
1297D4—22no—
1298D4—22no—
1299D4—22no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—84no—
1319D4—84no—
1320D4—84no—
1321D4—84no—
1322D4—84no—
1323D4—84no—
1324D4—84no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328D4—162no—
1329D4—162no—
1330D4—162no—
1331D4—162no—
1332D4—162no—
1333D4—162no—
1334D4—162no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—84no—
1406C2×C4—84no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—162no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4D4212yes—
1416C2×C4D4212yes—
1417C2×C4#57612yes—
1418C2×C4C23×D411yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4#58511yescharacteristic
1422C2×C4#58511yescharacteristic
1423C2×C4#58511yescharacteristic
1424C8—22no—
1425C8—22no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C8—41no—
1432C22—42no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—42no—
1437C22—42no—
1438C22—41no—
1439C22—42no—
1440C22—42no—
1441C22—41no—
1442C22—41no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—41no—
1447C22—41no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—168no—
1482C22C2×D4211yescharacteristic
1483C22#348711yescharacteristic
1484C22#348811yescharacteristic
1485C22C2×#57611yescharacteristic
1486C22#358411yescharacteristic
1487C22#358511yescharacteristic
1488C22#358511yescharacteristic
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—42no—
1502C4—42no—
1503C4—41no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4#348811yescharacteristic
1513C4#350011yescharacteristic
1514C4#355811yescharacteristic
1515C4#356211yescharacteristic
1516C2—81no—
1517C2—82no—
1518C2—82no—
1519C2—82no—
1520C2—161no—
1521C2—161no—
1522C2—161no—
1523C2#4526311yescharacteristic
1524C2#6105911yescharacteristic
1525C2#6108411yescharacteristic
1526C2#6191911yescharacteristic
1527C2#6192011yescharacteristic
1528C2#6200711yescharacteristic
1529C2#6202411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2396 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3366C2semidirect
2. C2×#3224C2semidirect
3. #45111C2semidirect
4. #44876C2semidirect
5. #31154C2semidirect
6. #31150C2semidirect
7. #30892C2semidirect
8. #30891C2semidirect
9. #30549C2semidirect
10. #30547C2semidirect
11. #30446C2semidirect
12. #30444C2semidirect
13. #28741C2semidirect
14. #28465C2semidirect
15. #27230C2semidirect
16. #27229C2semidirect
17. #26608C2semidirect
18. #26600C2semidirect
19. #25940C2semidirect
20. #25637C2semidirect
21. #25376C2semidirect
22. #25373C2semidirect
23. #25364C2semidirect
24. #25284C2semidirect
25. #25174C2semidirect
26. #25172C2semidirect
27. #24218C2semidirect
28. #24166C2semidirect
29. #23703C2semidirect
30. #23216C2semidirect
31. #22103C2semidirect
32. C2×#554C22semidirect
40. C2×#495C22semidirect
43. C2×#490C22semidirect
47. C2×#478C22semidirect
48. C2×#476C22semidirect
54. C2×#463C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
66. C2×#446C22semidirect
68. C2×#442C22semidirect
69. C2×C4×D8C22semidirect
80. #2592C22semidirect
83. #2544C22semidirect
90. #2454C22semidirect
91. #2453C22semidirect
104. #2367C22semidirect
106. #2366C22semidirect
107. #2365C22semidirect
112. #2087C22semidirect
114. #2067C22semidirect
115. #2067C22semidirect
116. #2066C22semidirect
118. #2056C22semidirect
119. #2056C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
126. #2042C22semidirect
133. #2026C22semidirect
134. #2026C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
148. #2011C22semidirect
152. #1988C22semidirect
153. #1985C22semidirect
155. #1983C22semidirect
156. #1983C22semidirect
161. #1973C22semidirect
162. #1973C22semidirect
164. #1969C22semidirect
165. #1940C22semidirect
166. #1939C22semidirect
167. #1939C22semidirect
169. #1934C22semidirect
170. #1927C22semidirect
173. #1925C22semidirect
178. #1917C22semidirect
179. #1917C22semidirect
180. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
192. #1865C22semidirect
193. #1864C22semidirect
195. #1862C22semidirect
199. C4×#107C22semidirect
200. C8×C4⋊C4C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect
204. C4×#102C22semidirect
293. #486D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33662
C2×#32242
#451112
#448762
#311542
#311502
#308922
#308912
#305492
#305472
#304462
#304442
#287412
#284652
#272302
#272292
#266082
#266002
#259402
#256372
#253762
#253732
#253642
#252842
#251742
#251722
#242182
#241662
#237032
#232162
#221032