Finite Group Databasebeta

← #7308180

Subgroups — #7308180

Order 512.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44872C211yesmaximal, characteristic, complemented
2#42547C211yesmaximal, characteristic, complemented
3#32164C211yesmaximal, characteristic, complemented
4#32120C211yesmaximal, characteristic, complemented
5#31810C211yesmaximal, characteristic, complemented
6#31634C211yesmaximal, characteristic, complemented
7#31510C211yesmaximal, characteristic, complemented
8#31413C211yesmaximal, characteristic, complemented
9#31209C211yesmaximal, characteristic, complemented
10#31030C211yesmaximal, characteristic, complemented
11#30527C211yesmaximal, characteristic, complemented
12#30519C211yesmaximal, characteristic, complemented
13#30447C211yesmaximal, characteristic, complemented
14#30444C211yesmaximal, characteristic, complemented
15#29727C211yesmaximal, characteristic, complemented
16#29675C211yesmaximal, characteristic, complemented
17#28126C211yesmaximal, characteristic, complemented
18#27520C211yesmaximal, characteristic, complemented
19#27232C211yesmaximal, characteristic, complemented
20#26939C211yesmaximal, characteristic, complemented
21#26888C211yesmaximal, characteristic, complemented
22#26731C211yesmaximal, characteristic, complemented
23#26585C211yesmaximal, characteristic, complemented
24#25364C211yesmaximal, characteristic, complemented
25#25318C211yesmaximal, characteristic, complemented
26#24372C211yesmaximal, characteristic, complemented
27#24366C211yesmaximal, characteristic, complemented
28#24236C211yesmaximal, characteristic, complemented
29#24162C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23317C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#540C2211yescharacteristic
35C2×#493C2211yescharacteristic, complemented
36C2×#486C2211yescharacteristic
37C2×#482C2211yescharacteristic, complemented
38C2×#478C2211yescharacteristic, complemented
39C2×#463C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic
42C2×#459C2211yescharacteristic
43C2×#459C2211yescharacteristic, complemented
44C2×#459C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic, complemented
47C2×#450C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C2×C4×D8C2211yescharacteristic
52#2826—21no—
53#2752—21no—
54#2743—21no—
55#2730—21no—
56#2703—21no—
57#2678—21no—
58#2678—21no—
59#2676—21no—
60#2668—21no—
61#2639—21no—
62#2635—21no—
63#2620C2211yescharacteristic, complemented
64#2542C2211yescharacteristic, complemented
65#2541C2211yescharacteristic
66#2539—21no—
67#2537C2211yescharacteristic
68#2511C2211yescharacteristic, complemented
69#2497C2211yescharacteristic, complemented
70#2492C2211yescharacteristic, complemented
71#2491C2211yescharacteristic, complemented
72#2490C2211yescharacteristic
73#2464—21no—
74#2454C2211yescharacteristic
75#2450—21no—
76#2447C2211yescharacteristic, complemented
77#2445C2211yescharacteristic
78#2433C2211yescharacteristic
79#2433C2211yescharacteristic
80#2431C2211yescharacteristic, complemented
81#2428C2211yescharacteristic
82#2428C2211yescharacteristic, complemented
83#2414C2211yescharacteristic
84#2410—21no—
85#2408—21no—
86#2407C2211yescharacteristic
87#2395C2211yescharacteristic
88#2366C2211yescharacteristic
89#2366C2211yescharacteristic, complemented
90#2363C2211yescharacteristic
91#2339C2211yescharacteristic, complemented
92D4×C22⋊C4C2211yescharacteristic
93#2324C2211yescharacteristic, complemented
94#2309C2211yescharacteristic
95#2099C2211yescharacteristic, complemented
96#2087C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2071C2211yescharacteristic
100#2071C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2055C2211yescharacteristic
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic, complemented
112#2054C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2041C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2023C2211yescharacteristic, complemented
125#2014C2211yescharacteristic
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic, complemented
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2011C2211yescharacteristic
134#2011C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic, complemented
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1988C2211yescharacteristic, complemented
145#1982C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1957C2211yescharacteristic
151#1954C2211yescharacteristic
152#1939C2211yescharacteristic, complemented
153#1939C2211yescharacteristic, complemented
154#1934C2211yescharacteristic
155#1934C2211yescharacteristic, complemented
156#1933C2211yescharacteristic, complemented
157#1928C2211yescharacteristic, complemented
158#1926C2211yescharacteristic
159#1926C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1925C2211yescharacteristic
162#1923C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1921C2211yescharacteristic, complemented
167#1916C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1895C2211yescharacteristic
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1873C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1802C2211yescharacteristic
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201C4×#102C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C2×AGL(1,ℤ/8)—42no—
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223D42—42no—
224D42—42no—
225#540—42no—
226#540—42no—
227C2×C4⋊Q8C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#125C2311yescharacteristic
234C2×#124—21no—
235C2×#124C2311yescharacteristic
236C2×#123—21no—
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8C2311yescharacteristic
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C22×C22⋊C4—21no—
276#493—42no—
277#486—42no—
278#482—42no—
279#478—42no—
280#463—42no—
281#463—42no—
282#459—42no—
283#459—42no—
284#459—42no—
285#459—42no—
286#450—42no—
287#449—42no—
288#449—42no—
289#447—42no—
290#447—42no—
291#447—42no—
292C4×D8—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345C2×C4×C8C2311yescharacteristic
346#400—21no—
347#400—21no—
348#400—21no—
349#400—21no—
350#400D411yescharacteristic
351#399—21no—
352#399—21no—
353#399—21no—
354#399D411yescharacteristic
355#398D411yescharacteristic
356#397—21no—
357#397—21no—
358#397—21no—
359#397D411yescharacteristic
360#397D411yescharacteristic
361#397D411yescharacteristic
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394D411yescharacteristic
379#394D411yescharacteristic
380#393—21no—
381#393—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#391—21no—
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390—21no—
406#390—21no—
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#387—21no—
431#387—21no—
432#387—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
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#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#384C2311yescharacteristic
454#384C2311yescharacteristic
455#381—21no—
456#381—21no—
457#380—21no—
458#380—21no—
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465#379—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C2×#95—21no—
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C2×#41—22no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8C2411yescharacteristic
512C22×D4—21no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
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—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—44no—
545C22×D4—82no—
546C22×D4—82no—
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564AGL(1,ℤ/8)—416no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×D8—22no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×D8—22no—
582C2×D8—22no—
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C4⋊Q8—41no—
613C4⋊Q8—41no—
614#127—22no—
615#127—22no—
616#127—22no—
617#127—22no—
618#127—41no—
619#127—41no—
620#127—41no—
621#127—41no—
622#127—41no—
623#127—41no—
624#125—22no—
625#125—41no—
626#124—41no—
627#124—41no—
628#124—82no—
629#123—44no—
630#123—44no—
631#123—82no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—82no—
635C22⋊Q8—82no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—44no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—44no—
646#121—44no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—41no—
652#121—41no—
653#121—82no—
654#121—82no—
655#121—82no—
656#121—82no—
657#121—82no—
658#120—44no—
659#120—44no—
660#120—82no—
661#120—82no—
662#120—82no—
663#120—82no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—22no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—82no—
681C4×D4—82no—
682#117—41no—
683#117—41no—
684#117—41no—
685#117—41no—
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⋊C4C2×D411yescharacteristic
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
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—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—82no—
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780#107—22no—
781#107—41no—
782#106—41no—
783#106—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790C4⋊C8—41no—
791#103—22no—
792#103—41no—
793#103—41no—
794#103—41no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
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—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C4×C8—41no—
831C4×C8—41no—
832C4×C8—41no—
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—
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#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884#41—44no—
885#41—82no—
886#41—82no—
887#41—82no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—42no—
895C2×Q8—81no—
896C2×Q8—81no—
897C2×D4—24no—
898C2×D4—22no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
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—41no—
933C2×D4—41no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—44no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
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—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
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×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—816no—
1002C2×D4H(5,𝔽2)12yes—
1003C2×D4H(5,𝔽2)12yes—
1004C2×D4H(5,𝔽2)12yes—
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—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
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×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4—81no—
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C22×D411yescharacteristic
1062C22×C4C22×D411yescharacteristic
1063C22×C4C2511yescharacteristic
1064SD16—44no—
1065SD16—44no—
1066SD16—82no—
1067SD16—82no—
1068D8—44no—
1069D8—44no—
1070D8—44no—
1071D8—82no—
1072D8—82no—
1073D8—82no—
1074D8—82no—
1075D8—82no—
1076M16—44no—
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×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
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⋊C4—81no—
1137C4⋊C4H(5,𝔽2)12yes—
1138C22⋊C4—24no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
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—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—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—81no—
1205C42—81no—
1206C42—81no—
1207C42—81no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—21no—
1212C23—21no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—22no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
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—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—84no—
1265C23—84no—
1266C23—84no—
1267C23—84no—
1268C23—84no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—162no—
1273C23—162no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23C23×D411yescharacteristic
1279Q8—41no—
1280Q8—41no—
1281Q8—41no—
1282Q8—41no—
1283Q8—162no—
1284D4—22no—
1285D4—22no—
1286D4—22no—
1287D4—22no—
1288D4—22no—
1289D4—22no—
1290D4—44no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—41no—
1309D4—84no—
1310D4—84no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—84no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328D4—162no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
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—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—84no—
1401C2×C4—84no—
1402C2×C4—162no—
1403C2×C4—162no—
1404C2×C4—162no—
1405C2×C4—162no—
1406C2×C4—162no—
1407C2×C4—162no—
1408C2×C4#57612yes—
1409C2×C4#57612yes—
1410C2×C4#57712yes—
1411C2×C4C2×H(5,𝔽2)11yescharacteristic
1412C2×C4C2×H(5,𝔽2)11yescharacteristic
1413C2×C4C2×H(5,𝔽2)11yescharacteristic
1414C2×C4C2×H(5,𝔽2)11yescharacteristic
1415C2×C4#58511yescharacteristic
1416C2×C4#58511yescharacteristic
1417C8—41no—
1418C8—41no—
1419C8—41no—
1420C8—41no—
1421C8—41no—
1422C8—41no—
1423C8—41no—
1424C8—41no—
1425C22—41no—
1426C22—41no—
1427C22—42no—
1428C22—42no—
1429C22—41no—
1430C22—41no—
1431C22—42no—
1432C22—41no—
1433C22—41no—
1434C22—42no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—42no—
1440C22—41no—
1441C22—41no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—41no—
1447C22—41no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—168no—
1482C22—168no—
1483C22#348411yescharacteristic
1484C22#348811yescharacteristic
1485C22#348811yescharacteristic
1486C22C2×#57611yescharacteristic
1487C22C2×#57611yescharacteristic
1488C22C2×#57711yescharacteristic
1489C22#358511yescharacteristic
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—42no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4#353211yescharacteristic
1513C4#354211yescharacteristic
1514C4#355811yescharacteristic
1515C4#356011yescharacteristic
1516C2—81no—
1517C2—81no—
1518C2—82no—
1519C2—82no—
1520C2—82no—
1521C2—161no—
1522C2—161no—
1523C2—161no—
1524C2#4784411yescharacteristic
1525C2#6160911yescharacteristic
1526C2#6166811yescharacteristic
1527C2#6203111yescharacteristic
1528C2#6203911yescharacteristic
1529C2#6205111yescharacteristic
1530C2#6205311yescharacteristic
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. #44872C2semidirect
2. #42547C2semidirect
3. #32164C2semidirect
4. #32120C2semidirect
5. #31810C2semidirect
6. #31634C2semidirect
7. #31510C2semidirect
8. #31413C2semidirect
9. #31209C2semidirect
10. #31030C2semidirect
11. #30527C2semidirect
12. #30519C2semidirect
13. #30447C2semidirect
14. #30444C2semidirect
15. #29727C2semidirect
16. #29675C2semidirect
17. #28126C2semidirect
18. #27520C2semidirect
19. #27232C2semidirect
20. #26939C2semidirect
21. #26888C2semidirect
22. #26731C2semidirect
23. #26585C2semidirect
24. #25364C2semidirect
25. #25318C2semidirect
26. #24372C2semidirect
27. #24366C2semidirect
28. #24236C2semidirect
29. #24162C2semidirect
30. #23860C2semidirect
31. #23317C2semidirect
35. C2×#493C22semidirect
37. C2×#482C22semidirect
38. C2×#478C22semidirect
39. C2×#463C22semidirect
40. C2×#463C22semidirect
43. C2×#459C22semidirect
44. C2×#459C22semidirect
46. C2×#449C22semidirect
63. #2620C22semidirect
64. #2542C22semidirect
68. #2511C22semidirect
69. #2497C22semidirect
70. #2492C22semidirect
71. #2491C22semidirect
76. #2447C22semidirect
80. #2431C22semidirect
82. #2428C22semidirect
89. #2366C22semidirect
91. #2339C22semidirect
93. #2324C22semidirect
95. #2099C22semidirect
96. #2087C22semidirect
97. #2077C22semidirect
98. #2077C22semidirect
100. #2071C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2067C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
111. #2054C22semidirect
112. #2054C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
115. #2041C22semidirect
116. #2041C22semidirect
117. #2034C22semidirect
120. #2033C22semidirect
121. #2026C22semidirect
122. #2025C22semidirect
123. #2023C22semidirect
124. #2023C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
130. #2012C22semidirect
134. #2011C22semidirect
136. #2000C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1989C22semidirect
144. #1988C22semidirect
145. #1982C22semidirect
146. #1982C22semidirect
147. #1970C22semidirect
148. #1968C22semidirect
149. #1968C22semidirect
152. #1939C22semidirect
153. #1939C22semidirect
155. #1934C22semidirect
156. #1933C22semidirect
157. #1928C22semidirect
159. #1926C22semidirect
160. #1926C22semidirect
162. #1923C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1923C22semidirect
166. #1921C22semidirect
167. #1916C22semidirect
168. #1916C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1873C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1825C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1798C22semidirect
197. #1788C22semidirect
201. C4×#102C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#448722
#425472
#321642
#321202
#318102
#316342
#315102
#314132
#312092
#310302
#305272
#305192
#304472
#304442
#297272
#296752
#281262
#275202
#272322
#269392
#268882
#267312
#265852
#253642
#253182
#243722
#243662
#242362
#241622
#238602
#233172