Finite Group Databasebeta

← #7337024

Subgroups — #7337024

Order 512.

1789 conjugacy classes of subgroups.

The subgroup lattice has 1505 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53073C211yesmaximal, characteristic, complemented
2#45002C211yesmaximal, characteristic, complemented
3#32181C211yesmaximal, characteristic, complemented
4#31917C211yesmaximal, characteristic, complemented
5#31017C211yesmaximal, characteristic, complemented
6#31004C211yesmaximal, characteristic, complemented
7#30891C211yesmaximal, characteristic, complemented
8#30745C211yesmaximal, characteristic, complemented
9#30729C211yesmaximal, characteristic, complemented
10#30611C211yesmaximal, characteristic, complemented
11#30541C211yesmaximal, characteristic, complemented
12#30463C211yesmaximal, characteristic, complemented
13#30458C211yesmaximal, characteristic, complemented
14#30455C211yesmaximal, characteristic, complemented
15#29725C211yesmaximal, characteristic, complemented
16#29673C211yesmaximal, characteristic, complemented
17#29076C211yesmaximal, characteristic, complemented
18#29002C211yesmaximal, characteristic, complemented
19#28465C211yesmaximal, characteristic, complemented
20#28326C211yesmaximal, characteristic, complemented
21#27065C211yesmaximal, characteristic, complemented
22#26944C211yesmaximal, characteristic, complemented
23#26617C211yesmaximal, characteristic, complemented
24#25794C211yesmaximal, characteristic, complemented
25#25762C211yesmaximal, characteristic, complemented
26#25608C211yesmaximal, characteristic, complemented
27#25378C211yesmaximal, characteristic, complemented
28#24897C211yesmaximal, characteristic, complemented
29#24367C211yesmaximal, characteristic, complemented
30#23863C211yesmaximal, characteristic, complemented
31#22366C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#540C2211yescharacteristic
35C2×#496C2211yescharacteristic
36C2×#495C2211yescharacteristic
37C2×#495C2211yescharacteristic, complemented
38C2×#493C2211yescharacteristic
39C2×#490C2211yescharacteristic, complemented
40C2×#484C2211yescharacteristic, complemented
41C2×#483C2211yescharacteristic, complemented
42C2×#469C2211yescharacteristic
43C2×#460C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#463C2211yescharacteristic, complemented
47C2×#461C2211yescharacteristic
48C2×#461C2211yescharacteristic, complemented
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic
54C2×#449C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×C4×D8C2211yescharacteristic
58#2829—21no—
59#2828—21no—
60#2827—21no—
61#2825—21no—
62#2797—21no—
63#2756—21no—
64#2749—21no—
65#2746—21no—
66#2706—21no—
67#2693—21no—
68#2688—21no—
69#2668—21no—
70#2621C2211yescharacteristic, complemented
71#2619C2211yescharacteristic, complemented
72#2545C2211yescharacteristic, complemented
73#2544C2211yescharacteristic
74#2544C2211yescharacteristic, complemented
75#2540C2211yescharacteristic
76#2535—21no—
77#2514C2211yescharacteristic, complemented
78#2513C2211yescharacteristic, complemented
79#2489C2211yescharacteristic
80#2454C2211yescharacteristic
81#2447C2211yescharacteristic
82#2433C2211yescharacteristic
83#2432C2211yescharacteristic
84#2431C2211yescharacteristic
85#2431C2211yescharacteristic
86#2427C2211yescharacteristic
87#2427C2211yescharacteristic, complemented
88#2426C2211yescharacteristic, complemented
89#2424—21no—
90#2421C2211yescharacteristic
91#2420C2211yescharacteristic
92#2418—21no—
93#2416C2211yescharacteristic
94#2412—21no—
95#2407C2211yescharacteristic
96#2395C2211yescharacteristic
97#2366C2211yescharacteristic
98#2361C2211yescharacteristic
99D4×C22⋊C4C2211yescharacteristic
100#2311C2211yescharacteristic
101#2097C2211yescharacteristic, complemented
102#2092C2211yescharacteristic
103#2088C2211yescharacteristic, complemented
104#2076C2211yescharacteristic
105#2074C2211yescharacteristic, complemented
106#2073C2211yescharacteristic
107#2067C2211yescharacteristic
108#2067C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic, complemented
111#2055C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2054C2211yescharacteristic
115#2054C2211yescharacteristic
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2041C2211yescharacteristic
120#2034C2211yescharacteristic
121#2033C2211yescharacteristic
122#2026C2211yescharacteristic, complemented
123#2026C2211yescharacteristic, complemented
124#2016C2211yescharacteristic, complemented
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2014C2211yescharacteristic
129#2014C2211yescharacteristic
130#2014C2211yescharacteristic, complemented
131#2013C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1991C2211yescharacteristic, complemented
150#1983C2211yescharacteristic
151#1983C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1972C2211yescharacteristic
154#1971C2211yescharacteristic, complemented
155#1970C2211yescharacteristic, complemented
156#1969C2211yescharacteristic, complemented
157#1968C2211yescharacteristic
158#1961C2211yescharacteristic
159#1954C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1935C2211yescharacteristic, complemented
162#1934C2211yescharacteristic
163#1933C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic
170#1923C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1920C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1894C2211yescharacteristic
176#1894C2211yescharacteristic
177#1880C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1878C2211yescharacteristic, complemented
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic
187#1874C2211yescharacteristic, complemented
188#1874C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1864C2211yescharacteristic
191#1862C2211yescharacteristic, complemented
192#1851C2211yescharacteristic
193#1804C2211yescharacteristic
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198C8×C4⋊C4C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic
201#1753C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226#546—42no—
227#546—42no—
228#540—42no—
229#540—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#125C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×C4×Q8C2311yescharacteristic
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273#496—42no—
274#495—42no—
275#495—42no—
276#493—42no—
277#490—42no—
278#484—42no—
279#483—42no—
280#469—42no—
281#463—42no—
282#463—42no—
283#463—42no—
284#461—42no—
285#461—42no—
286#460—42no—
287#452—42no—
288#452—42no—
289#452—42no—
290#450—42no—
291#449—42no—
292#449—42no—
293#449—42no—
294#447—42no—
295C4×D8—42no—
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#401—21no—
350#400—21no—
351#400—21no—
352#400—21no—
353#400D411yescharacteristic
354#399—21no—
355#399—21no—
356#399D411yescharacteristic
357#398—21no—
358#398—21no—
359#398D411yescharacteristic
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397D411yescharacteristic
372#397D411yescharacteristic
373#397D411yescharacteristic
374#396—21no—
375#396—21no—
376#396—21no—
377#396—21no—
378#396—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#394—21no—
392#394—21no—
393#394D411yescharacteristic
394#394D411yescharacteristic
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#392—21no—
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#389C2311yescharacteristic
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#386—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#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#383—21no—
466#382—21no—
467#382C2311yescharacteristic
468#382C2311yescharacteristic
469#381—21no—
470#381—21no—
471#380—21no—
472#380—21no—
473#380—21no—
474#380—21no—
475#380—21no—
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#379—21no—
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
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—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8C2411yescharacteristic
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×D4—21no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561AGL(1,ℤ/8)—416no—
562C2×Q16—22no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
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×D8—22no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×M16—22no—
611C2×M16—41no—
612C2×M16—41no—
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C4⋊Q8—41no—
622C4⋊Q8—41no—
623#127—22no—
624#127—22no—
625#127—41no—
626#127—41no—
627#127—41no—
628#127—41no—
629#125—22no—
630#125—41no—
631#124—22no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—41no—
641#123—44no—
642#123—44no—
643#123—44no—
644C22⋊Q8—22no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652#121—22no—
653#121—22no—
654#121—41no—
655#121—41no—
656#121—44no—
657#121—44no—
658#121—44no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—82no—
668#120—44no—
669#120—82no—
670#120—82no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—82no—
686C4×D4—82no—
687#117—41no—
688#117—41no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
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—44no—
766C2×C22⋊C4—82no—
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785#107—22no—
786#107—41no—
787#106—22no—
788#106—41no—
789C4⋊C8—22no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833#97—41no—
834#97—41no—
835C4×C8—22no—
836C4×C8—41no—
837C4×C8—41no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
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#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—42no—
880C24—42no—
881C24—42no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888#41—44no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×D4—24no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
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—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—44no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
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×D4H(5,𝔽2)12yes—
995C2×D4H(5,𝔽2)12yes—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
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—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
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×C4C2511yescharacteristic
1056Q16—82no—
1057Q16—82no—
1058SD16—44no—
1059SD16—44no—
1060SD16—82no—
1061SD16—82no—
1062SD16—82no—
1063SD16—82no—
1064SD16—82no—
1065SD16—82no—
1066D8—44no—
1067D8—44no—
1068D8—44no—
1069D8—82no—
1070D8—82no—
1071D8—82no—
1072M16—44no—
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—21no—
1094C2×C8—21no—
1095C2×C8H(5,𝔽2)12yes—
1096C2×C8H(5,𝔽2)12yes—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
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—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4H(5,𝔽2)12yes—
1134C22⋊C4—24no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—42no—
1200C42—81no—
1201C42—81no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—22no—
1216C23—21no—
1217C23—21no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
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—84no—
1252C23—84no—
1253C23—84no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23C23×D411yescharacteristic
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271D4—22no—
1272D4—22no—
1273D4—22no—
1274D4—22no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—84no—
1292D4—82no—
1293D4—84no—
1294D4—84no—
1295D4—84no—
1296D4—84no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
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—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
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—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—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—162no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4—162no—
1391C2×C4—162no—
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4C2×H(5,𝔽2)11yescharacteristic
1397C2×C4#58511yescharacteristic
1398C8—22no—
1399C8—22no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C22—42no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—42no—
1425C22—41no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—168no—
1456C22#348411yescharacteristic
1457C22#348811yescharacteristic
1458C22#349811yescharacteristic
1459C22#358411yescharacteristic
1460C22#358411yescharacteristic
1461C22#358511yescharacteristic
1462C22#358511yescharacteristic
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—42no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4#353211yescharacteristic
1487C4#353411yescharacteristic
1488C4#354311yescharacteristic
1489C4#354611yescharacteristic
1490C2—81no—
1491C2—81no—
1492C2—82no—
1493C2—82no—
1494C2—161no—
1495C2—161no—
1496C2—161no—
1497C2#4795211yescharacteristic
1498C2#6162511yescharacteristic
1499C2#6167811yescharacteristic
1500C2#6202711yescharacteristic
1501C2#6202711yescharacteristic
1502C2#6243411yescharacteristic
1503C2#6244111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53073C2semidirect
2. #45002C2semidirect
3. #32181C2semidirect
4. #31917C2semidirect
5. #31017C2semidirect
6. #31004C2semidirect
7. #30891C2semidirect
8. #30745C2semidirect
9. #30729C2semidirect
10. #30611C2semidirect
11. #30541C2semidirect
12. #30463C2semidirect
13. #30458C2semidirect
14. #30455C2semidirect
15. #29725C2semidirect
16. #29673C2semidirect
17. #29076C2semidirect
18. #29002C2semidirect
19. #28465C2semidirect
20. #28326C2semidirect
21. #27065C2semidirect
22. #26944C2semidirect
23. #26617C2semidirect
24. #25794C2semidirect
25. #25762C2semidirect
26. #25608C2semidirect
27. #25378C2semidirect
28. #24897C2semidirect
29. #24367C2semidirect
30. #23863C2semidirect
31. #22366C2semidirect
37. C2×#495C22semidirect
39. C2×#490C22semidirect
40. C2×#484C22semidirect
41. C2×#483C22semidirect
46. C2×#463C22semidirect
48. C2×#461C22semidirect
70. #2621C22semidirect
71. #2619C22semidirect
72. #2545C22semidirect
74. #2544C22semidirect
77. #2514C22semidirect
78. #2513C22semidirect
87. #2427C22semidirect
88. #2426C22semidirect
101. #2097C22semidirect
103. #2088C22semidirect
105. #2074C22semidirect
108. #2067C22semidirect
110. #2055C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2055C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
122. #2026C22semidirect
123. #2026C22semidirect
124. #2016C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
130. #2014C22semidirect
135. #2012C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1991C22semidirect
151. #1983C22semidirect
154. #1971C22semidirect
155. #1970C22semidirect
156. #1969C22semidirect
160. #1940C22semidirect
161. #1935C22semidirect
163. #1933C22semidirect
164. #1933C22semidirect
165. #1926C22semidirect
166. #1926C22semidirect
168. #1924C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1920C22semidirect
173. #1917C22semidirect
174. #1916C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1878C22semidirect
187. #1874C22semidirect
188. #1874C22semidirect
191. #1862C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
198. C8×C4⋊C4C22semidirect
199. #1763C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#530732
#450022
#321812
#319172
#310172
#310042
#308912
#307452
#307292
#306112
#305412
#304632
#304582
#304552
#297252
#296732
#290762
#290022
#284652
#283262
#270652
#269442
#266172
#257942
#257622
#256082
#253782
#248972
#243672
#238632
#223662