Finite Group Databasebeta

← #6911409

Subgroups — #6911409

Order 512.

1813 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39056C211yesmaximal, characteristic, complemented
2#37682C211yesmaximal, characteristic, complemented
3#32805C211yesmaximal, characteristic, complemented
4#32726C211yesmaximal, characteristic, complemented
5#32105C211yesmaximal, characteristic, complemented
6#32079C211yesmaximal, characteristic, complemented
7#31309C211yesmaximal, characteristic, complemented
8#31289C211yesmaximal, characteristic, complemented
9#30750C211yesmaximal, characteristic, complemented
10#30738C211yesmaximal, characteristic, complemented
11#30463C211yesmaximal, characteristic, complemented
12#30455C211yesmaximal, characteristic, complemented
13#30252C211yesmaximal, characteristic, complemented
14#30138C211yesmaximal, characteristic, complemented
15#30114C211yesmaximal, characteristic, complemented
16#29804C211yesmaximal, characteristic, complemented
17#29628C211yesmaximal, characteristic, complemented
18#29376C211yesmaximal, characteristic, complemented
19#29344C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25101C211yesmaximal, characteristic, complemented
22#25100C211yesmaximal, characteristic, complemented
23#25084C211yesmaximal, characteristic, complemented
24#25083C211yesmaximal, characteristic, complemented
25#24454C211yesmaximal, characteristic, complemented
26#24442C211yesmaximal, characteristic, complemented
27#24434C211yesmaximal, characteristic, complemented
28#24430C211yesmaximal, characteristic, complemented
29#24216C211yesmaximal, characteristic, complemented
30#23509C211yesmaximal, characteristic, complemented
31#22004C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#470C2211yescharacteristic
39C2×#468C2211yescharacteristic
40C2×#467C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#464C2211yescharacteristic
43C2×#464C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#461C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic
47C2×#452C2211yescharacteristic
48C2×#452C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#417C2211yescharacteristic
55C2×#418C2211yescharacteristic
56C2×#416C2211yescharacteristic
57C22×#102C2211yescharacteristic
58#2854C2211yescharacteristic, complemented
59#2850C2211yescharacteristic
60#2772—21no—
61#2746—21no—
62#2718—21no—
63#2708—21no—
64#2671—21no—
65#2671—21no—
66#2668—21no—
67#2668—21no—
68#2658C2211yescharacteristic
69#2645C2211yescharacteristic, complemented
70#2621C2211yescharacteristic
71#2620C2211yescharacteristic
72#2597—21no—
73#2576—21no—
74#2559—21no—
75#2547C2211yescharacteristic
76#2544C2211yescharacteristic
77#2507C2211yescharacteristic, complemented
78#2497—21no—
79#2496C2211yescharacteristic, complemented
80#2448C2211yescharacteristic, complemented
81#2443—21no—
82#2443—21no—
83#2435C2211yescharacteristic
84#2432C2211yescharacteristic
85#2432C2211yescharacteristic
86#2431C2211yescharacteristic
87#2427C2211yescharacteristic, complemented
88#2418—21no—
89#2418—21no—
90#2416C2211yescharacteristic
91#2415C2211yescharacteristic
92#2363C2211yescharacteristic
93#2360C2211yescharacteristic
94#2328C2211yescharacteristic
95#2319C2211yescharacteristic, complemented
96#2317C2211yescharacteristic
97C4×C22⋊Q8C2211yescharacteristic, complemented
98#2290C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2101C2211yescharacteristic, complemented
101#2097C2211yescharacteristic, complemented
102#2096C2211yescharacteristic, complemented
103#2095C2211yescharacteristic, complemented
104#2092C2211yescharacteristic, complemented
105#2067C2211yescharacteristic
106#2067C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic, complemented
111#2055C2211yescharacteristic, complemented
112#2054C2211yescharacteristic
113#2043C2211yescharacteristic, complemented
114#2043C2211yescharacteristic, complemented
115#2043C2211yescharacteristic, complemented
116#2043C2211yescharacteristic, complemented
117#2043C2211yescharacteristic, complemented
118#2042C2211yescharacteristic
119#2042C2211yescharacteristic
120#2042C2211yescharacteristic
121#2042C2211yescharacteristic
122#2042C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic
125#2042C2211yescharacteristic
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic
128#2041C2211yescharacteristic
129#2041C2211yescharacteristic
130#2041C2211yescharacteristic
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2016C2211yescharacteristic, complemented
136#2016C2211yescharacteristic, complemented
137#2016C2211yescharacteristic, complemented
138#2015C2211yescharacteristic
139#2015C2211yescharacteristic
140#2015C2211yescharacteristic
141#2015C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2014C2211yescharacteristic
144#2013C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic
147#2012C2211yescharacteristic
148#2012C2211yescharacteristic
149#2012C2211yescharacteristic, complemented
150#2011C2211yescharacteristic
151#2001C2211yescharacteristic, complemented
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1983C2211yescharacteristic
156#1983C2211yescharacteristic
157#1983C2211yescharacteristic, complemented
158#1981C2211yescharacteristic, complemented
159#1959C2211yescharacteristic
160#1957C2211yescharacteristic
161#1935C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1933C2211yescharacteristic, complemented
164#1933C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1925C2211yescharacteristic
168#1925C2211yescharacteristic
169#1924C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1917C2211yescharacteristic, complemented
172#1916C2211yescharacteristic, complemented
173#1880C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic
180#1877C2211yescharacteristic, complemented
181#1873C2211yescharacteristic
182#1873C2211yescharacteristic
183#1872C2211yescharacteristic
184#1872C2211yescharacteristic
185#1870C2211yescharacteristic
186#1869C2211yescharacteristic
187#1864C2211yescharacteristic
188#1864C2211yescharacteristic
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic
192#1850C2211yescharacteristic
193#1840C2211yescharacteristic, complemented
194#1832C2211yescharacteristic, complemented
195#1817C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1750C2211yescharacteristic
202#1729C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#547—42no—
222#547—42no—
223#546—42no—
224#546—42no—
225#535—42no—
226#535—42no—
227#532—42no—
228#532—42no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#126—21no—
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8C2311yescharacteristic
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C4⋊C4—21no—
274C22×C4⋊C4C2311yescharacteristic
275C22×C22⋊C4—21no—
276C22×C42C2311yescharacteristic
277#496—42no—
278#495—42no—
279#470—42no—
280#468—42no—
281#467—42no—
282#465—42no—
283#464—42no—
284#464—42no—
285#463—42no—
286#461—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—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303#418—42no—
304#417—42no—
305#416—42no—
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
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×#102—42no—
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×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#401—21no—
356#400—21no—
357#400—21no—
358#400—21no—
359#400—21no—
360#399—21no—
361#399—21no—
362#399—21no—
363#399—21no—
364#399—21no—
365#398—21no—
366#398—21no—
367#398—21no—
368#398—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#396—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#392—21no—
394#392—21no—
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389—21no—
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388D411yescharacteristic
430#388D411yescharacteristic
431#387—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#387D411yescharacteristic
436#387D411yescharacteristic
437#386—21no—
438#386—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#386D411yescharacteristic
452#386D411yescharacteristic
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385D411yescharacteristic
462#385D411yescharacteristic
463#384—21no—
464#384C2311yescharacteristic
465#382—21no—
466#382C2311yescharacteristic
467#381—21no—
468#380—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#379—21no—
475#379—21no—
476C4×C4⋊C4—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485#376C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
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×Q8C2411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—22no—
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—21no—
542C22×D4—21no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4C2×D411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4C2×D411yescharacteristic
561C23×C4C2×D411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×Q16—41no—
570C2×Q16—41no—
571C2×Q16—41no—
572C2×Q16—41no—
573C2×SD16—22no—
574C2×SD16—22no—
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×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×M16—22no—
601C2×M16—41no—
602C2×M16—41no—
603C22×C8—22no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C4⋊Q8—41no—
615C4⋊Q8—41no—
616C4⋊Q8—41no—
617C4⋊Q8—41no—
618C4⋊Q8—41no—
619C4⋊Q8—41no—
620#127—22no—
621#127—22no—
622#127—22no—
623#127—41no—
624#126—82no—
625#124—22no—
626#124—22no—
627#124—22no—
628#124—41no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#123—44no—
640#123—44no—
641#123—44no—
642#123—82no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—22no—
646C22⋊Q8—22no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653#121—22no—
654#121—22no—
655#121—44no—
656#121—41no—
657#121—41no—
658#121—44no—
659#121—44no—
660#121—44no—
661#121—44no—
662#121—44no—
663#121—41no—
664#121—41no—
665#121—82no—
666#120—44no—
667#120—44no—
668#120—44no—
669C4×Q8—41no—
670C4×Q8—41no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—44no—
680C4×D4—44no—
681#117—22no—
682#117—41no—
683#117—41no—
684#117—41no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
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—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—44no—
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
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—44no—
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42C2×D411yescharacteristic
780C2×C42C2×D411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786#107—41no—
787#107—41no—
788#106—41no—
789#106—41no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
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—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840#97—41no—
841C4×C8—41no—
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#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—42no—
883C24—42no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891#41—44no—
892#41—44no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900#41—82no—
901#41—82no—
902#41—82no—
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×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×D4—24no—
928C2×D4—24no—
929C2×D4—22no—
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—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—44no—
953C2×D4—44no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
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×D4H(5,𝔽2)12yes—
990C2×D4H(5,𝔽2)12yes—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
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—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
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×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)12yes—
1053C22×C4H(5,𝔽2)12yes—
1054C22×C4C2511yescharacteristic
1055Q16—82no—
1056Q16—82no—
1057Q16—82no—
1058SD16—82no—
1059SD16—82no—
1060SD16—82no—
1061SD16—82no—
1062SD16—82no—
1063SD16—82no—
1064D8—82no—
1065D8—82no—
1066D8—82no—
1067M16—82no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—82no—
1093C4⋊C4—22no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
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—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
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⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4H(5,𝔽2)12yes—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
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—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—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—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—41no—
1196C42—41no—
1197C42—42no—
1198C42—81no—
1199C42—81no—
1200C42—81no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—22no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—41no—
1217C23—41no—
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—84no—
1243C23—84no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23#53512yes—
1250C23C23×D411yescharacteristic
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267D4—22no—
1268D4—22no—
1269D4—22no—
1270D4—22no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—84no—
1284D4—82no—
1285D4—84no—
1286D4—84no—
1287D4—84no—
1288D4—84no—
1289D4—84no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
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—22no—
1334C2×C4—21no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—84no—
1375C2×C4—82no—
1376C2×C4—82no—
1377C2×C4—84no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4#53512yes—
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×H(5,𝔽2)11yescharacteristic
1389C2×C4#58511yescharacteristic
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—41no—
1412C22—41no—
1413C22—42no—
1414C22—42no—
1415C22—41no—
1416C22—42no—
1417C22—42no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
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—168no—
1441C22C2×#53511yescharacteristic
1442C22#348411yescharacteristic
1443C22#348811yescharacteristic
1444C22#358411yescharacteristic
1445C22#358411yescharacteristic
1446C22#358511yescharacteristic
1447C22#358611yescharacteristic
1448C4—22no—
1449C4—41no—
1450C4—42no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4#353411yescharacteristic
1473C4#353411yescharacteristic
1474C4#353711yescharacteristic
1475C4#353711yescharacteristic
1476C2—42no—
1477C2—81no—
1478C2—82no—
1479C2—82no—
1480C2—161no—
1481C2—161no—
1482C2#4059411yescharacteristic
1483C2#6081511yescharacteristic
1484C2#6083511yescharacteristic
1485C2#6161311yescharacteristic
1486C2#6161411yescharacteristic
1487C2#6205911yescharacteristic
1488C2#6207811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39056C2semidirect
2. #37682C2semidirect
3. #32805C2semidirect
4. #32726C2semidirect
5. #32105C2semidirect
6. #32079C2semidirect
7. #31309C2semidirect
8. #31289C2semidirect
9. #30750C2semidirect
10. #30738C2semidirect
11. #30463C2semidirect
12. #30455C2semidirect
13. #30252C2semidirect
14. #30138C2semidirect
15. #30114C2semidirect
16. #29804C2semidirect
17. #29628C2semidirect
18. #29376C2semidirect
19. #29344C2semidirect
20. #25736C2semidirect
21. #25101C2semidirect
22. #25100C2semidirect
23. #25084C2semidirect
24. #25083C2semidirect
25. #24454C2semidirect
26. #24442C2semidirect
27. #24434C2semidirect
28. #24430C2semidirect
29. #24216C2semidirect
30. #23509C2semidirect
31. #22004C2semidirect
43. C2×#464C22semidirect
45. C2×#461C22semidirect
48. C2×#452C22semidirect
51. C2×#449C22semidirect
58. #2854C22semidirect
69. #2645C22semidirect
77. #2507C22semidirect
79. #2496C22semidirect
80. #2448C22semidirect
87. #2427C22semidirect
95. #2319C22semidirect
97. C4×C22⋊Q8C22semidirect
99. #2101C22semidirect
100. #2101C22semidirect
101. #2097C22semidirect
102. #2096C22semidirect
103. #2095C22semidirect
104. #2092C22semidirect
107. #2066C22semidirect
108. #2065C22semidirect
110. #2055C22semidirect
111. #2055C22semidirect
113. #2043C22semidirect
114. #2043C22semidirect
115. #2043C22semidirect
116. #2043C22semidirect
117. #2043C22semidirect
126. #2042C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
135. #2016C22semidirect
136. #2016C22semidirect
137. #2016C22semidirect
141. #2015C22semidirect
142. #2015C22semidirect
144. #2013C22semidirect
145. #2013C22semidirect
149. #2012C22semidirect
151. #2001C22semidirect
153. #2000C22semidirect
157. #1983C22semidirect
158. #1981C22semidirect
161. #1935C22semidirect
162. #1935C22semidirect
163. #1933C22semidirect
164. #1933C22semidirect
165. #1927C22semidirect
166. #1926C22semidirect
169. #1924C22semidirect
170. #1923C22semidirect
171. #1917C22semidirect
172. #1916C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
180. #1877C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
193. #1840C22semidirect
194. #1832C22semidirect
195. #1817C22semidirect
196. #1797C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect

Maximal subgroups

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

subgroupindex
#390562
#376822
#328052
#327262
#321052
#320792
#313092
#312892
#307502
#307382
#304632
#304552
#302522
#301382
#301142
#298042
#296282
#293762
#293442
#257362
#251012
#251002
#250842
#250832
#244542
#244422
#244342
#244302
#242162
#235092
#220042