Finite Group Databasebeta

← #6931439

Subgroups — #6931439

Order 512.

1825 conjugacy classes of subgroups.

The subgroup lattice has 1500 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38026C211yesmaximal, characteristic, complemented
2#37621C211yesmaximal, characteristic, complemented
3#32764C211yesmaximal, characteristic, complemented
4#32751C211yesmaximal, characteristic, complemented
5#32623C211yesmaximal, characteristic, complemented
6#32596C211yesmaximal, characteristic, complemented
7#32554C211yesmaximal, characteristic, complemented
8#32550C211yesmaximal, characteristic, complemented
9#31413C211yesmaximal, characteristic, complemented
10#31391C211yesmaximal, characteristic, complemented
11#30412C211yesmaximal, characteristic, complemented
12#30396C211yesmaximal, characteristic, complemented
13#30329C211yesmaximal, characteristic, complemented
14#30192C211yesmaximal, characteristic, complemented
15#30179C211yesmaximal, characteristic, complemented
16#29914C211yesmaximal, characteristic, complemented
17#29721C211yesmaximal, characteristic, complemented
18#29116C211yesmaximal, characteristic, complemented
19#28584C211yesmaximal, characteristic, complemented
20#28567C211yesmaximal, characteristic, complemented
21#28557C211yesmaximal, characteristic, complemented
22#26228C211yesmaximal, characteristic, complemented
23#26224C211yesmaximal, characteristic, complemented
24#25502C211yesmaximal, characteristic, complemented
25#25132C211yesmaximal, characteristic, complemented
26#25116C211yesmaximal, characteristic, complemented
27#24440C211yesmaximal, characteristic, complemented
28#24440C211yesmaximal, characteristic, complemented
29#23930C211yesmaximal, characteristic, complemented
30#23628C211yesmaximal, characteristic, complemented
31#22472C211yesmaximal, characteristic, complemented
32C2×D42C2211yescharacteristic
33C2×#532C2211yescharacteristic, complemented
34C2×#529C2211yescharacteristic
35C2×#469C2211yescharacteristic
36C2×#469C2211yescharacteristic
37C2×#469C2211yescharacteristic
38C2×#466C2211yescharacteristic
39C2×#447C2211yescharacteristic
40C2×#447C2211yescharacteristic
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#436C2211yescharacteristic, complemented
44C2×#435C2211yescharacteristic, complemented
45C2×#418C2211yescharacteristic
46C2×#418C2211yescharacteristic
47#2854C2211yescharacteristic
48#2813—21no—
49#2813—21no—
50#2714—21no—
51#2711—21no—
52#2685—21no—
53#2670—21no—
54#2662—21no—
55#2662—21no—
56#2628C2211yescharacteristic, complemented
57#2628C2211yescharacteristic, complemented
58#2624C2211yescharacteristic
59#2619C2211yescharacteristic
60#2619C2211yescharacteristic, complemented
61#2619C2211yescharacteristic, complemented
62#2616—21no—
63#2615—21no—
64#2580C2211yescharacteristic
65#2562—21no—
66#2548C2211yescharacteristic
67#2540—21no—
68#2539—21no—
69#2538C2211yescharacteristic, complemented
70#2538C2211yescharacteristic, complemented
71#2537C2211yescharacteristic, complemented
72#2537C2211yescharacteristic, complemented
73#2472—21no—
74#2416C2211yescharacteristic
75#2414C2211yescharacteristic
76#2414C2211yescharacteristic
77#2414C2211yescharacteristic
78#2414C2211yescharacteristic, complemented
79#2414C2211yescharacteristic, complemented
80#2410—21no—
81#2408C2211yescharacteristic
82#2408C2211yescharacteristic
83#2405—21no—
84#2352C2211yescharacteristic
85#2324C2211yescharacteristic
86#2309C2211yescharacteristic
87C2×#390C2211yescharacteristic
88#2285C2211yescharacteristic, complemented
89#2101C2211yescharacteristic, complemented
90#2101C2211yescharacteristic, complemented
91#2100C2211yescharacteristic, complemented
92#2099C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2093C2211yescharacteristic, complemented
95#2088C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2085C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic
104#2073C2211yescharacteristic
105#2073C2211yescharacteristic, complemented
106#2073C2211yescharacteristic, complemented
107#2073C2211yescharacteristic, complemented
108#2073C2211yescharacteristic, complemented
109#2073C2211yescharacteristic, complemented
110#2073C2211yescharacteristic, complemented
111#2071C2211yescharacteristic
112#2071C2211yescharacteristic
113#2071C2211yescharacteristic, complemented
114#2071C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2054C2211yescharacteristic
119#2054C2211yescharacteristic
120#2054C2211yescharacteristic, complemented
121#2054C2211yescharacteristic, complemented
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2034C2211yescharacteristic
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic, complemented
131#2023C2211yescharacteristic
132#2023C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2011C2211yescharacteristic
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1985C2211yescharacteristic, complemented
146#1984C2211yescharacteristic, complemented
147#1972C2211yescharacteristic, complemented
148#1970C2211yescharacteristic, complemented
149#1936C2211yescharacteristic
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1919C2211yescharacteristic, complemented
158#1918C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic
177#1875C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1825C2211yescharacteristic, complemented
193#1818C2211yescharacteristic, complemented
194#1817C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1750C2211yescharacteristic, complemented
199#1736C2211yescharacteristic, complemented
200#1736C2211yescharacteristic, complemented
201#1729C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217D42—42no—
218D42—42no—
219#532—42no—
220#532—42no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×#127C2311yescharacteristic
223C2×#127C2311yescharacteristic
224#529—42no—
225#529—42no—
226C2×#126D411yescharacteristic
227C2×#126D411yescharacteristic
228C2×#125D411yescharacteristic
229C2×#124—21no—
230C2×#124—21no—
231C2×#124D411yescharacteristic
232C2×#123—21no—
233C2×#123D411yescharacteristic
234C2×#123D411yescharacteristic
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8D411yescharacteristic
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121D411yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×C4×Q8C2311yescharacteristic
260C2×C4×D4—21no—
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C42C2311yescharacteristic
276#469—42no—
277#469—42no—
278#469—42no—
279#466—42no—
280#447—42no—
281#447—42no—
282#447—42no—
283#447—42no—
284#436—42no—
285#435—42no—
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294#418—42no—
295#418—42no—
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×#97C2311yescharacteristic
333C2×C4×C8C2311yescharacteristic
334#400—21no—
335#400—21no—
336#399—21no—
337#399—21no—
338#399—21no—
339#399—21no—
340#397—21no—
341#396—21no—
342#396—21no—
343#396—21no—
344#396—21no—
345#396—21no—
346#395—21no—
347#395—21no—
348#394—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#393—21no—
371#393—21no—
372#393—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390—21no—
396#390—21no—
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#387—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#385—21no—
432#385—21no—
433#385—21no—
434#384C2311yescharacteristic
435#384C2311yescharacteristic
436#382C2311yescharacteristic
437#382C2311yescharacteristic
438#382C2311yescharacteristic
439#380—21no—
440#380—21no—
441#380—21no—
442#380—21no—
443#380—21no—
444#380—21no—
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#379—21no—
453#379—21no—
454#379—21no—
455#379—21no—
456C4×C4⋊C4—21no—
457C4×C4⋊C4—21no—
458C4×C4⋊C4C2311yescharacteristic
459C4×C22⋊C4—21no—
460#340C2311yescharacteristic
461#340C2311yescharacteristic
462#340C2311yescharacteristic
463#340C2311yescharacteristic
464#340C2311yescharacteristic
465#340C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496C25—21no—
497C25—21no—
498C2×#41—44no—
499C2×#41—82no—
500C2×#41—82no—
501C22×Q8—21no—
502C22×Q8C2×D411yescharacteristic
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—44no—
533C22×D4—82no—
534C22×D4—82no—
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4C2×D411yescharacteristic
548C23×C4C2×D411yescharacteristic
549C23×C4C2411yescharacteristic
550C23×C4C2411yescharacteristic
551C23×C4C2411yescharacteristic
552C2×D8—22no—
553C2×D8—22no—
554C2×D8—41no—
555C2×D8—41no—
556C2×D8—41no—
557C2×D8—41no—
558C2×D8—41no—
559C2×D8—41no—
560C2×D8—41no—
561C2×D8—41no—
562C2×D8—41no—
563C2×D8—41no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×M16—22no—
571C2×M16—22no—
572C2×M16—41no—
573C2×M16—41no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C22×C8—41no—
580C22×C8—41no—
581C22×C8—41no—
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C4⋊Q8—41no—
591C4⋊Q8—41no—
592#127—41no—
593#127—41no—
594#127—41no—
595#127—41no—
596#126—42no—
597#126—42no—
598#125—42no—
599#124—42no—
600#124—44no—
601#124—82no—
602#123—42no—
603#123—42no—
604#123—82no—
605C22⋊Q8—42no—
606C22⋊Q8—82no—
607C22⋊Q8—82no—
608#121—22no—
609#121—22no—
610#121—22no—
611#121—22no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—41no—
616#121—41no—
617#121—41no—
618#121—44no—
619#121—42no—
620#121—44no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—82no—
634#121—82no—
635#121—82no—
636#120—44no—
637#120—44no—
638#120—82no—
639#120—82no—
640C4×Q8—41no—
641C4×Q8—41no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—44no—
655#117—41no—
656#117—41no—
657#117—41no—
658#117—41no—
659#117—41no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664#117—41no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4C2×D411yescharacteristic
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
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—82no—
752C2×C22⋊C4—82no—
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—22no—
764C2×C42—22no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42C2×D411yescharacteristic
770C2×C42C2×D411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775#107—41no—
776#107—41no—
777#106—41no—
778#106—41no—
779#106—41no—
780#106—41no—
781C4⋊C8—41no—
782C4⋊C8—41no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819#97—41no—
820C4×C8—41no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—42no—
848C24—42no—
849C24—42no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24—81no—
854C24—81no—
855C24—81no—
856C24—81no—
857C24—81no—
858C24—81no—
859C24—81no—
860C24—81no—
861C24C22×D411yescharacteristic
862C24C22×D411yescharacteristic
863C24C22×D411yescharacteristic
864#41—816no—
865C2×Q8—22no—
866C2×Q8—41no—
867C2×Q8—41no—
868C2×Q8—42no—
869C2×Q8—81no—
870C2×Q8—81no—
871C2×D4—22no—
872C2×D4—22no—
873C2×D4—22no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—21no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—44no—
904C2×D4—44no—
905C2×D4—41no—
906C2×D4—41no—
907C2×D4—41no—
908C2×D4—41no—
909C2×D4—41no—
910C2×D4—41no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—42no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—82no—
927C2×D4—82no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—82no—
939C2×D4—82no—
940C2×D4—82no—
941C2×D4—82no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
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—816no—
969C2×D4H(5,𝔽2)12yes—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
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—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4H(5,𝔽2)12yes—
1027C22×C4H(5,𝔽2)12yes—
1028C22×C4C2511yescharacteristic
1029D8—82no—
1030D8—82no—
1031D8—82no—
1032D8—82no—
1033D8—82no—
1034D8—82no—
1035M16—82no—
1036M16—82no—
1037M16—82no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—82no—
1063C4⋊C4—22no—
1064C4⋊C4—22no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—42no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
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—
1168C42—22no—
1169C42—22no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—81no—
1179C42—81no—
1180C42—81no—
1181C42—81no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—22no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
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—84no—
1238C23—84no—
1239C23—84no—
1240C23—84no—
1241C23—84no—
1242C23—84no—
1243C23—162no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23#53412yes—
1252C23C23×D411yescharacteristic
1253Q8—82no—
1254Q8—84no—
1255D4—22no—
1256D4—22no—
1257D4—44no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—82no—
1277D4—84no—
1278D4—82no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—84no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293D4—162no—
1294D4—162no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
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—44no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
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—84no—
1373C2×C4—84no—
1374C2×C4—82no—
1375C2×C4—84no—
1376C2×C4—162no—
1377C2×C4#53412yes—
1378C2×C4#57612yes—
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4C2×H(5,𝔽2)11yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4#58511yescharacteristic
1383C2×C4#58511yescharacteristic
1384C2×C4#58511yescharacteristic
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—81no—
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—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—168no—
1450C22—168no—
1451C22C2×#53411yescharacteristic
1452C22#348811yescharacteristic
1453C22#350011yescharacteristic
1454C22C2×#57611yescharacteristic
1455C22#358511yescharacteristic
1456C22#358511yescharacteristic
1457C22#358511yescharacteristic
1458C4—22no—
1459C4—22no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4#353411yescharacteristic
1481C4#353411yescharacteristic
1482C4#356011yescharacteristic
1483C4#356011yescharacteristic
1484C2—42no—
1485C2—81no—
1486C2—81no—
1487C2—82no—
1488C2—161no—
1489C2—161no—
1490C2—161no—
1491C2—161no—
1492C2#4193611yescharacteristic
1493C2#6075311yescharacteristic
1494C2#6075611yescharacteristic
1495C2#6204011yescharacteristic
1496C2#6208311yescharacteristic
1497C2#6257011yescharacteristic
1498C2#6261011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38026C2semidirect
2. #37621C2semidirect
3. #32764C2semidirect
4. #32751C2semidirect
5. #32623C2semidirect
6. #32596C2semidirect
7. #32554C2semidirect
8. #32550C2semidirect
9. #31413C2semidirect
10. #31391C2semidirect
11. #30412C2semidirect
12. #30396C2semidirect
13. #30329C2semidirect
14. #30192C2semidirect
15. #30179C2semidirect
16. #29914C2semidirect
17. #29721C2semidirect
18. #29116C2semidirect
19. #28584C2semidirect
20. #28567C2semidirect
21. #28557C2semidirect
22. #26228C2semidirect
23. #26224C2semidirect
24. #25502C2semidirect
25. #25132C2semidirect
26. #25116C2semidirect
27. #24440C2semidirect
28. #24440C2semidirect
29. #23930C2semidirect
30. #23628C2semidirect
31. #22472C2semidirect
33. C2×#532C22semidirect
43. C2×#436C22semidirect
44. C2×#435C22semidirect
56. #2628C22semidirect
57. #2628C22semidirect
60. #2619C22semidirect
61. #2619C22semidirect
69. #2538C22semidirect
70. #2538C22semidirect
71. #2537C22semidirect
72. #2537C22semidirect
78. #2414C22semidirect
79. #2414C22semidirect
88. #2285C22semidirect
89. #2101C22semidirect
90. #2101C22semidirect
91. #2100C22semidirect
92. #2099C22semidirect
93. #2094C22semidirect
94. #2093C22semidirect
95. #2088C22semidirect
96. #2088C22semidirect
97. #2085C22semidirect
98. #2085C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
105. #2073C22semidirect
106. #2073C22semidirect
107. #2073C22semidirect
108. #2073C22semidirect
109. #2073C22semidirect
110. #2073C22semidirect
113. #2071C22semidirect
114. #2071C22semidirect
115. #2067C22semidirect
116. #2065C22semidirect
117. #2058C22semidirect
120. #2054C22semidirect
121. #2054C22semidirect
124. #2041C22semidirect
128. #2034C22semidirect
130. #2033C22semidirect
132. #2023C22semidirect
133. #2023C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1985C22semidirect
146. #1984C22semidirect
147. #1972C22semidirect
148. #1970C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1926C22semidirect
156. #1925C22semidirect
157. #1919C22semidirect
158. #1918C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1893C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
177. #1875C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1854C22semidirect
190. #1854C22semidirect
191. #1825C22semidirect
192. #1825C22semidirect
193. #1818C22semidirect
194. #1817C22semidirect
195. #1798C22semidirect
198. #1750C22semidirect
199. #1736C22semidirect
200. #1736C22semidirect
201. #1729C22semidirect
202. #1728C22semidirect

Maximal subgroups

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

subgroupindex
#380262
#376212
#327642
#327512
#326232
#325962
#325542
#325502
#314132
#313912
#304122
#303962
#303292
#301922
#301792
#299142
#297212
#291162
#285842
#285672
#285572
#262282
#262242
#255022
#251322
#251162
#244402
#239302
#236282
#224722