Finite Group Databasebeta

← #7302879

Subgroups — #7302879

Order 512.

1948 conjugacy classes of subgroups.

The subgroup lattice has 1539 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45303C211yesmaximal, characteristic, complemented
2#42951C211yesmaximal, characteristic, complemented
3#31652C211yesmaximal, characteristic, complemented
4#31638C211yesmaximal, characteristic, complemented
5#31559C211yesmaximal, characteristic, complemented
6#31556C211yesmaximal, characteristic, complemented
7#31386C211yesmaximal, characteristic, complemented
8#31382C211yesmaximal, characteristic, complemented
9#31269C211yesmaximal, characteristic, complemented
10#31260C211yesmaximal, characteristic, complemented
11#31043C211yesmaximal, characteristic, complemented
12#31017C211yesmaximal, characteristic, complemented
13#31015C211yesmaximal, characteristic, complemented
14#30984C211yesmaximal, characteristic, complemented
15#30122C211yesmaximal, characteristic, complemented
16#29669C211yesmaximal, characteristic, complemented
17#28131C211yesmaximal, characteristic, complemented
18#26608C211yesmaximal, characteristic, complemented
19#26598C211yesmaximal, characteristic, complemented
20#24915C211yesmaximal, characteristic, complemented
21#24902C211yesmaximal, characteristic, complemented
22#24364C211yesmaximal, characteristic, complemented
23#24356C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24242C211yesmaximal, characteristic, complemented
26#23947C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#23857C211yesmaximal, characteristic, complemented
29#23854C211yesmaximal, characteristic, complemented
30#23852C211yesmaximal, characteristic, complemented
31#23330C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#542C2211yescharacteristic, complemented
38C2×#484C2211yescharacteristic, complemented
39C2×#460C2211yescharacteristic
40C2×#460C2211yescharacteristic
41C2×#463C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#452C2211yescharacteristic
44C2×#452C2211yescharacteristic
45C2×#452C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#451C2211yescharacteristic
50C2×#448C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#442C2211yescharacteristic
53C2×C4×Q16C2211yescharacteristic, complemented
54#2813—21no—
55#2715—21no—
56#2710—21no—
57#2700—21no—
58#2688—21no—
59#2673—21no—
60#2672—21no—
61#2669—21no—
62#2668—21no—
63#2630—21no—
64#2619C2211yescharacteristic
65#2617—21no—
66#2567C2211yescharacteristic, complemented
67#2555—21no—
68#2549—21no—
69#2547C2211yescharacteristic
70#2538C2211yescharacteristic, complemented
71#2537C2211yescharacteristic
72#2534—21no—
73#2466—21no—
74#2448C2211yescharacteristic
75#2445C2211yescharacteristic
76#2433C2211yescharacteristic
77#2431C2211yescharacteristic
78#2425—21no—
79#2423C2211yescharacteristic, complemented
80#2422C2211yescharacteristic
81#2421C2211yescharacteristic
82#2420C2211yescharacteristic
83#2416C2211yescharacteristic
84#2416C2211yescharacteristic
85#2409C2211yescharacteristic
86#2408C2211yescharacteristic
87#2407C2211yescharacteristic
88#2407C2211yescharacteristic, complemented
89#2392C2211yescharacteristic
90#2367C2211yescharacteristic, complemented
91Q8×C22⋊C4C2211yescharacteristic
92#2339C2211yescharacteristic, complemented
93#2323C2211yescharacteristic, complemented
94#2311C2211yescharacteristic
95#2101C2211yescharacteristic, complemented
96#2100C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2075C2211yescharacteristic
102#2075C2211yescharacteristic
103#2071C2211yescharacteristic
104#2071C2211yescharacteristic, complemented
105#2068C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2067C2211yescharacteristic
108#2067C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic, complemented
113#2041C2211yescharacteristic
114#2035C2211yescharacteristic
115#2034C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1973C2211yescharacteristic, complemented
144#1970C2211yescharacteristic
145#1959C2211yescharacteristic
146#1957C2211yescharacteristic
147#1955C2211yescharacteristic
148#1954C2211yescharacteristic, complemented
149#1935C2211yescharacteristic, complemented
150#1933C2211yescharacteristic, complemented
151#1928C2211yescharacteristic, complemented
152#1926C2211yescharacteristic, complemented
153#1925C2211yescharacteristic
154#1925C2211yescharacteristic
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic
163#1892C2211yescharacteristic
164#1892C2211yescharacteristic, complemented
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1869C2211yescharacteristic
182#1869C2211yescharacteristic
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1850C2211yescharacteristic
188#1850C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1818C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#135—42no—
209C2×#135—42no—
210C2×#135—42no—
211C22×Q16C2311yescharacteristic
212C22×Q16C2311yescharacteristic
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C23×C8C2311yescharacteristic
227C23×C8C2311yescharacteristic
228#550—42no—
229#550—42no—
230#548—42no—
231#548—42no—
232#546—42no—
233#546—42no—
234#542—42no—
235#542—42no—
236C2×C4⋊Q8C2311yescharacteristic
237C2×#127—21no—
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#126—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124—21no—
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×Q8C2311yescharacteristic
277C2×C4×Q8C2311yescharacteristic
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—21no—
289#484—42no—
290#463—42no—
291#460—42no—
292#460—42no—
293#459—42no—
294#452—42no—
295#452—42no—
296#452—42no—
297#451—42no—
298#449—42no—
299#449—42no—
300#449—42no—
301#448—42no—
302#447—42no—
303#442—42no—
304C4×Q16—42no—
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#107C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357#400—21no—
358#399—21no—
359#399—21no—
360#398—21no—
361#398D411yescharacteristic
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397D411yescharacteristic
369#396—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#396D411yescharacteristic
374#396D411yescharacteristic
375#395—21no—
376#395—21no—
377#395—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394D411yescharacteristic
392#394D411yescharacteristic
393#394D411yescharacteristic
394#393—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392D411yescharacteristic
405#391—21no—
406#391—21no—
407#391—21no—
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#390—21no—
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#389—21no—
423#389—21no—
424#389—21no—
425#389—21no—
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
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#387—21no—
438#387—21no—
439#387—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#384C2311yescharacteristic
459#384C2311yescharacteristic
460#382C2311yescharacteristic
461#381—21no—
462#381—21no—
463#380—21no—
464#380—21no—
465#380—21no—
466#380—21no—
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#379—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C22⋊C4—21no—
478C4×C22⋊C4—21no—
479C4×C22⋊C4C2311yescharacteristic
480C4×C22⋊C4C2311yescharacteristic
481C2×#95—21no—
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8—21no—
528C22×Q8—21no—
529C22×Q8—22no—
530C22×Q8—22no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×Q8C2411yescharacteristic
538C22×D4—21no—
539C22×D4—22no—
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—21no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
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
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577#135—416no—
578C2×Q16—22no—
579C2×Q16—22no—
580C2×Q16—22no—
581C2×Q16—22no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—416no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—41no—
630C4⋊Q8—41no—
631#127—22no—
632#127—41no—
633#127—41no—
634#127—41no—
635#127—44no—
636#126—44no—
637#124—22no—
638#124—22no—
639#124—22no—
640#124—41no—
641#124—44no—
642#124—44no—
643#124—82no—
644#123—44no—
645#123—44no—
646#123—82no—
647#123—82no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—44no—
653C22⋊Q8—44no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—44no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—44no—
670#121—44no—
671#121—44no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—82no—
677#121—82no—
678#121—82no—
679#120—44no—
680#120—82no—
681#120—82no—
682#120—82no—
683C4×Q8—22no—
684C4×Q8—22no—
685C4×Q8—41no—
686C4×Q8—41no—
687C4×Q8—41no—
688C4×Q8—41no—
689C4×Q8—41no—
690C4×Q8—41no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—44no—
704C4×D4—44no—
705#117—41no—
706#117—41no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
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—41no—
725C2×C4⋊C4—41no—
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⋊C4C2411yescharacteristic
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—44no—
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
795C2×C42—21no—
796C2×C42—21no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803#107—41no—
804#107—41no—
805#107—41no—
806#106—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#102—22no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842#102—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853#97—41no—
854C4×C8—41no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
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#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—42no—
891C24—42no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24C22×D411yescharacteristic
898C24C22×D411yescharacteristic
899C24C22×D411yescharacteristic
900#41—44no—
901#41—44no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
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—42no—
928C2×Q8—42no—
929C2×Q8—42no—
930C2×Q8—44no—
931C2×Q8—81no—
932C2×Q8—81no—
933C2×Q8—81no—
934C2×Q8—82no—
935C2×Q8—82no—
936C2×Q8—82no—
937C2×Q8H(5,𝔽2)12yes—
938C2×Q8H(5,𝔽2)12yes—
939C2×Q8H(5,𝔽2)12yes—
940C2×D4—24no—
941C2×D4—22no—
942C2×D4—22no—
943C2×D4—22no—
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—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—44no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
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—82no—
999C2×D4—82no—
1000C2×D4—82no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4H(5,𝔽2)12yes—
1021C2×D4H(5,𝔽2)12yes—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—24no—
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—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C2511yescharacteristic
1088Q16—44no—
1089Q16—44no—
1090SD16—44no—
1091SD16—44no—
1092SD16—44no—
1093SD16—44no—
1094SD16—44no—
1095SD16—44no—
1096SD16—82no—
1097D8—44no—
1098D8—44no—
1099D8—82no—
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×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—44no—
1125C2×C8—44no—
1126C4⋊C4—22no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
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—21no—
1144C4⋊C4—21no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C22⋊C4—24no—
1169C22⋊C4—24no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
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—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—42no—
1228C42—42no—
1229C42—42no—
1230C42—81no—
1231C42—81no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—22no—
1243C23—21no—
1244C23—21no—
1245C23—22no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
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—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—84no—
1281C23—84no—
1282C23—162no—
1283C23—162no—
1284C23—162no—
1285C23—162no—
1286C23—162no—
1287C23#57612yes—
1288C23C23×D411yescharacteristic
1289Q8—22no—
1290Q8—22no—
1291Q8—22no—
1292Q8—22no—
1293Q8—22no—
1294Q8—22no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—84no—
1302Q8—162no—
1303D4—22no—
1304D4—22no—
1305D4—22no—
1306D4—22no—
1307D4—41no—
1308D4—41no—
1309D4—41no—
1310D4—41no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—82no—
1320D4—84no—
1321D4—82no—
1322D4—82no—
1323D4—84no—
1324D4—84no—
1325D4—84no—
1326D4—84no—
1327D4—84no—
1328D4—162no—
1329D4—162no—
1330D4—162no—
1331D4—162no—
1332D4—162no—
1333D4—162no—
1334D4—162no—
1335D4—162no—
1336D4—162no—
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—22no—
1354C2×C4—22no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—22no—
1362C2×C4—21no—
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—41no—
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—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—84no—
1418C2×C4—84no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—162no—
1422C2×C4—162no—
1423C2×C4—162no—
1424C2×C4—162no—
1425C2×C4#57712yes—
1426C2×C4C2×H(5,𝔽2)11yescharacteristic
1427C2×C4C2×H(5,𝔽2)11yescharacteristic
1428C2×C4C2×H(5,𝔽2)11yescharacteristic
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C2×C4C2×H(5,𝔽2)11yescharacteristic
1431C2×C4#58511yescharacteristic
1432C8—41no—
1433C8—41no—
1434C8—41no—
1435C8—41no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—42no—
1455C22—41no—
1456C22—41no—
1457C22—42no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—42no—
1463C22—42no—
1464C22—41no—
1465C22—41no—
1466C22—42no—
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—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—168no—
1490C22#348411yescharacteristic
1491C22#348411yescharacteristic
1492C22#348811yescharacteristic
1493C22C2×#57611yescharacteristic
1494C22C2×#57711yescharacteristic
1495C22#358411yescharacteristic
1496C22#358611yescharacteristic
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—41no—
1510C4—41no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4#353211yescharacteristic
1521C4#353211yescharacteristic
1522C4#353411yescharacteristic
1523C4#353411yescharacteristic
1524C2—42no—
1525C2—81no—
1526C2—81no—
1527C2—82no—
1528C2—82no—
1529C2—161no—
1530C2—161no—
1531C2#4783011yescharacteristic
1532C2#6162411yescharacteristic
1533C2#6163911yescharacteristic
1534C2#6164011yescharacteristic
1535C2#6169211yescharacteristic
1536C2#6201311yescharacteristic
1537C2#6205711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45303C2semidirect
2. #42951C2semidirect
3. #31652C2semidirect
4. #31638C2semidirect
5. #31559C2semidirect
6. #31556C2semidirect
7. #31386C2semidirect
8. #31382C2semidirect
9. #31269C2semidirect
10. #31260C2semidirect
11. #31043C2semidirect
12. #31017C2semidirect
13. #31015C2semidirect
14. #30984C2semidirect
15. #30122C2semidirect
16. #29669C2semidirect
17. #28131C2semidirect
18. #26608C2semidirect
19. #26598C2semidirect
20. #24915C2semidirect
21. #24902C2semidirect
22. #24364C2semidirect
23. #24356C2semidirect
24. #24257C2semidirect
25. #24242C2semidirect
26. #23947C2semidirect
27. #23858C2semidirect
28. #23857C2semidirect
29. #23854C2semidirect
30. #23852C2semidirect
31. #23330C2semidirect
32. C22×#135C22semidirect
37. C2×#542C22semidirect
38. C2×#484C22semidirect
45. C2×#452C22semidirect
53. C2×C4×Q16C22semidirect
66. #2567C22semidirect
70. #2538C22semidirect
79. #2423C22semidirect
88. #2407C22semidirect
90. #2367C22semidirect
92. #2339C22semidirect
93. #2323C22semidirect
95. #2101C22semidirect
96. #2100C22semidirect
97. #2099C22semidirect
98. #2097C22semidirect
99. #2077C22semidirect
100. #2076C22semidirect
104. #2071C22semidirect
105. #2068C22semidirect
106. #2068C22semidirect
108. #2067C22semidirect
109. #2056C22semidirect
112. #2055C22semidirect
119. #2033C22semidirect
120. #2024C22semidirect
123. #2023C22semidirect
126. #2015C22semidirect
131. #2012C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
142. #1999C22semidirect
143. #1973C22semidirect
148. #1954C22semidirect
149. #1935C22semidirect
150. #1933C22semidirect
151. #1928C22semidirect
152. #1926C22semidirect
155. #1924C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
164. #1892C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
172. #1879C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
178. #1877C22semidirect
179. #1874C22semidirect
180. #1872C22semidirect
184. #1869C22semidirect
185. #1865C22semidirect
186. #1862C22semidirect
188. #1850C22semidirect
189. #1823C22semidirect
190. #1818C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
195. #1798C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect

Maximal subgroups

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

subgroupindex
#453032
#429512
#316522
#316382
#315592
#315562
#313862
#313822
#312692
#312602
#310432
#310172
#310152
#309842
#301222
#296692
#281312
#266082
#265982
#249152
#249022
#243642
#243562
#242572
#242422
#239472
#238582
#238572
#238542
#238522
#233302