Finite Group Databasebeta

← #6503379

Subgroups — #6503379

Order 512.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37331C211yesmaximal, characteristic, complemented
2#34471C211yesmaximal, characteristic, complemented
3#29564C211yesmaximal, characteristic, complemented
4#29505C211yesmaximal, characteristic, complemented
5#29476C211yesmaximal, characteristic, complemented
6#29453C211yesmaximal, characteristic, complemented
7#28387C211yesmaximal, characteristic, complemented
8#28310C211yesmaximal, characteristic, complemented
9#27495C211yesmaximal, characteristic, complemented
10#27240C211yesmaximal, characteristic, complemented
11#27218C211yesmaximal, characteristic, complemented
12#27079C211yesmaximal, characteristic, complemented
13#26943C211yesmaximal, characteristic, complemented
14#26787C211yesmaximal, characteristic, complemented
15#26584C211yesmaximal, characteristic, complemented
16#26345C211yesmaximal, characteristic, complemented
17#26127C211yesmaximal, characteristic, complemented
18#25976C211yesmaximal, characteristic, complemented
19#25148C211yesmaximal, characteristic, complemented
20#25097C211yesmaximal, characteristic, complemented
21#24878C211yesmaximal, characteristic, complemented
22#24650C211yesmaximal, characteristic, complemented
23#24500C211yesmaximal, characteristic, complemented
24#24440C211yesmaximal, characteristic, complemented
25#24354C211yesmaximal, characteristic, complemented
26#23848C211yesmaximal, characteristic, complemented
27#22056C211yesmaximal, characteristic, complemented
28#22056C211yesmaximal, characteristic, complemented
29#21536C211yesmaximal, characteristic, complemented
30#21233C211yesmaximal, characteristic, complemented
31#21109C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#481C2211yescharacteristic, complemented
35C2×#481C2211yescharacteristic, complemented
36C2×#478C2211yescharacteristic, complemented
37C2×#478C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic
39C2×#459C2211yescharacteristic, complemented
40C2×#459C2211yescharacteristic, complemented
41C2×#459C2211yescharacteristic, complemented
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic, complemented
47C2×C4×D8C2211yescharacteristic, complemented
48C2×#431C2211yescharacteristic, complemented
49C2×#427C2211yescharacteristic, complemented
50C2×#418C2211yescharacteristic
51C2×#418C2211yescharacteristic, complemented
52C2×#405C2211yescharacteristic, complemented
53#2856C2211yescharacteristic, complemented
54#2854C2211yescharacteristic, complemented
55#2803—21no—
56#2797—21no—
57#2714—21no—
58#2697—21no—
59#2685—21no—
60#2682—21no—
61#2678—21no—
62#2668—21no—
63#2644C2211yescharacteristic, complemented
64#2641C2211yescharacteristic, complemented
65#2512C2211yescharacteristic, complemented
66#2490C2211yescharacteristic, complemented
67#2445C2211yescharacteristic, complemented
68#2441C2211yescharacteristic, complemented
69#2433C2211yescharacteristic, complemented
70#2428C2211yescharacteristic, complemented
71#2414C2211yescharacteristic
72#2408C2211yescharacteristic
73#2377—21no—
74#2375—21no—
75#2366C2211yescharacteristic, complemented
76#2363C2211yescharacteristic
77#2361C2211yescharacteristic, complemented
78#2358—21no—
79#2357C2211yescharacteristic, complemented
80#2352C2211yescharacteristic
81D4×C22⋊C4—21no—
82D4×C22⋊C4C2211yescharacteristic
83D4×C22⋊C4C2211yescharacteristic, complemented
84#2333—21no—
85#2328C2211yescharacteristic, complemented
86#2324C2211yescharacteristic
87#2324C2211yescharacteristic, complemented
88#2321—21no—
89#2321—21no—
90#2319C2211yescharacteristic, complemented
91#2309C2211yescharacteristic
92#2309C2211yescharacteristic, complemented
93#2308—21no—
94C4×#121C2211yescharacteristic, complemented
95C2×#390C2211yescharacteristic, complemented
96#2290C2211yescharacteristic
97#2094C2211yescharacteristic, complemented
98#2094C2211yescharacteristic, complemented
99#2092C2211yescharacteristic, complemented
100#2092C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2085C2211yescharacteristic, complemented
103#2077C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2067C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2059C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic
112#2054C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2041C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2011C2211yescharacteristic
121#2011C2211yescharacteristic
122#2011C2211yescharacteristic
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic, complemented
125#2011C2211yescharacteristic, complemented
126#1999C2211yescharacteristic
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic, complemented
129#1982C2211yescharacteristic, complemented
130#1972C2211yescharacteristic
131#1972C2211yescharacteristic
132#1972C2211yescharacteristic, complemented
133#1972C2211yescharacteristic, complemented
134#1972C2211yescharacteristic, complemented
135#1972C2211yescharacteristic, complemented
136#1972C2211yescharacteristic, complemented
137#1970C2211yescharacteristic
138#1970C2211yescharacteristic
139#1970C2211yescharacteristic, complemented
140#1970C2211yescharacteristic, complemented
141#1970C2211yescharacteristic, complemented
142#1970C2211yescharacteristic, complemented
143#1947C2211yescharacteristic, complemented
144#1944C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1934C2211yescharacteristic, complemented
149#1934C2211yescharacteristic, complemented
150#1934C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1926C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1925C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1923C2211yescharacteristic, complemented
161#1919C2211yescharacteristic, complemented
162#1919C2211yescharacteristic, complemented
163#1917C2211yescharacteristic, complemented
164#1916C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1875C2211yescharacteristic
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1870C2211yescharacteristic
181#1869C2211yescharacteristic
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196C4×#106C2211yescharacteristic, complemented
197#1768C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1750C2211yescharacteristic, complemented
201#1749C2211yescharacteristic, complemented
202#1746C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×D8—24no—
208C22×D8—42no—
209C22×D8—42no—
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221D42—24no—
222D42—24no—
223C2×#127C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#126—21no—
227C2×#125C2311yescharacteristic
228C2×#123—21no—
229C2×#123—21no—
230C2×#121—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#120—21no—
241C2×#120—21no—
242C2×#120—21no—
243C2×#120—21no—
244C2×#120—21no—
245C2×C4×D4—21no—
246C2×C4×D4—21no—
247C2×C4×D4—21no—
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×C4×D4C2311yescharacteristic
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C2×#117C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C22⋊C4—21no—
260C22×C22⋊C4—21no—
261C22×C22⋊C4—21no—
262C22×C22⋊C4—21no—
263C22×C42C2311yescharacteristic
264#481—42no—
265#481—42no—
266#478—42no—
267#478—42no—
268#469—24no—
269#459—42no—
270#459—42no—
271#459—42no—
272#447—24no—
273#447—24no—
274#447—42no—
275#447—42no—
276#447—42no—
277C4×D8—42no—
278#431—42no—
279#427—42no—
280C2×#107C2311yescharacteristic
281C2×#107C2311yescharacteristic
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295#418—42no—
296#418—42no—
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×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333#405—42no—
334C2×#97C2311yescharacteristic
335C2×#97C2311yescharacteristic
336C2×#97C2311yescharacteristic
337C2×C4×C8C2311yescharacteristic
338C2×C4×C8C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340#399—21no—
341#397—21no—
342#397—21no—
343#397—21no—
344#397—21no—
345#397—21no—
346#396—21no—
347#396—21no—
348#396—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#392—21no—
360#392—21no—
361#392—21no—
362#392—21no—
363#392—21no—
364#390—21no—
365#390—21no—
366#390—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390—21no—
373#390—21no—
374#390—21no—
375#390—21no—
376#390—21no—
377#390—21no—
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#390C2311yescharacteristic
384#390C2311yescharacteristic
385#390C2311yescharacteristic
386#390C2311yescharacteristic
387#390C2311yescharacteristic
388#390C2311yescharacteristic
389#390C2311yescharacteristic
390#390C2311yescharacteristic
391#390C2311yescharacteristic
392#390C2311yescharacteristic
393#390C2311yescharacteristic
394#390C2311yescharacteristic
395#390C2311yescharacteristic
396#389—21no—
397#389C2311yescharacteristic
398#389C2311yescharacteristic
399#389C2311yescharacteristic
400#389C2311yescharacteristic
401#389C2311yescharacteristic
402#389C2311yescharacteristic
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#388—21no—
408#388—21no—
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388D411yescharacteristic
419#388D411yescharacteristic
420#387—21no—
421#387—21no—
422#387D411yescharacteristic
423#387D411yescharacteristic
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—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#386D411yescharacteristic
444#386D411yescharacteristic
445#385—21no—
446#385—21no—
447#385—21no—
448#385D411yescharacteristic
449#385D411yescharacteristic
450#384C2311yescharacteristic
451#382C2311yescharacteristic
452#381—21no—
453#381—21no—
454#380—21no—
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#379—21no—
460#379—21no—
461#379—21no—
462#379—21no—
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⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4C2311yescharacteristic
476C4×C22⋊C4C2311yescharacteristic
477#376C2311yescharacteristic
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—
504C25—21no—
505C22×D4—21no—
506C22×D4—28no—
507C22×D4—21no—
508C22×D4—22no—
509C22×D4—22no—
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—21no—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—82no—
539C22×D4—82no—
540C22×D4C2×D411yescharacteristic
541C22×D4#4114yes—
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×D8—22no—
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—22no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—416no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×M16—22no—
588C2×M16—22no—
589C2×M16—41no—
590C22×C8—22no—
591C22×C8—22no—
592C22×C8—22no—
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601#127—22no—
602#127—22no—
603#127—41no—
604#127—41no—
605#127—41no—
606#127—41no—
607#126—82no—
608#125—41no—
609#125—41no—
610#123—82no—
611#123—82no—
612#121—28no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—82no—
625#121—82no—
626#121—82no—
627#121#4114yes—
628#120—28no—
629#120—28no—
630#120—82no—
631#120—82no—
632#120—82no—
633C4×D4—22no—
634C4×D4—22no—
635C4×D4—22no—
636C4×D4—22no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—82no—
648C4×D4—82no—
649C4×D4—82no—
650#117—41no—
651#117—41no—
652#117—41no—
653#117—41no—
654#117—41no—
655#117—41no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4C2×D411yescharacteristic
670C2×C4⋊C4C2×D411yescharacteristic
671C2×C4⋊C4C2×D411yescharacteristic
672C2×C4⋊C4C2×D411yescharacteristic
673C2×C4⋊C4C2×D411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C4⋊C4C2411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
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—82no—
739C2×C22⋊C4—82no—
740C2×C22⋊C4—82no—
741C2×C22⋊C4—82no—
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—41no—
757C2×C42—41no—
758C2×C42C2×D411yescharacteristic
759C2×C42C2×D411yescharacteristic
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765#107—41no—
766#107—41no—
767#107—41no—
768#107—41no—
769#107—41no—
770#106—22no—
771#106—22no—
772#106—22no—
773#106—22no—
774#106—41no—
775#106—41no—
776C4⋊C8—22no—
777C4⋊C8—22no—
778C4⋊C8—22no—
779C4⋊C8—41no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
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—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—22no—
815C22⋊C8—41no—
816#97—41no—
817#97—41no—
818#97—41no—
819C4×C8—22no—
820C4×C8—22no—
821C4×C8—41no—
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#95C2×D411yescharacteristic
839#95C2×D411yescharacteristic
840#95C2×D411yescharacteristic
841#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848C24—24no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—24no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—81no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C2×D4—24no—
878C2×D4—22no—
879C2×D4—22no—
880C2×D4—24no—
881C2×D4—24no—
882C2×D4—24no—
883C2×D4—24no—
884C2×D4—24no—
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—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—44no—
919C2×D4—44no—
920C2×D4—41no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—42no—
924C2×D4—42no—
925C2×D4—42no—
926C2×D4—42no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—82no—
933C2×D4—82no—
934C2×D4—82no—
935C2×D4—82no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
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—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
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—816no—
971C2×D4C2×#4112yes—
972C2×D4C2×#4112yes—
973C2×D4C2×#4112yes—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—22no—
979C22×C4—21no—
980C22×C4—24no—
981C22×C4—22no—
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—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C2×#4112yes—
1034C22×C4C2×#4112yes—
1035C22×C4C2511yescharacteristic
1036D8—44no—
1037D8—44no—
1038D8—44no—
1039D8—44no—
1040D8—44no—
1041D8—82no—
1042D8—82no—
1043D8—82no—
1044D8—82no—
1045M16—44no—
1046C2×C8—28no—
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—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8H(5,𝔽2)12yes—
1069C2×C8H(5,𝔽2)12yes—
1070C2×C8H(5,𝔽2)12yes—
1071C4⋊C4—22no—
1072C4⋊C4—22no—
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—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—42no—
1096C4⋊C4—42no—
1097C4⋊C4—81no—
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⋊C4C2×#4112yes—
1107C22⋊C4—24no—
1108C22⋊C4—24no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—24no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
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—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
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—
1168C22⋊C4—81no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—41no—
1180C42—41no—
1181C42—81no—
1182C42—81no—
1183C42—81no—
1184C42—81no—
1185C42—81no—
1186C42—81no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—22no—
1201C23—22no—
1202C23—48no—
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—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—84no—
1243C23—84no—
1244C23—84no—
1245C23—84no—
1246C23—84no—
1247C23—84no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23—162no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23#52512yes—
1263C23#57612yes—
1264C23C23×D411yescharacteristic
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—22no—
1269D4—22no—
1270D4—22no—
1271D4—44no—
1272D4—48no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—84no—
1292D4—84no—
1293D4—84no—
1294D4—84no—
1295D4—84no—
1296D4—84no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
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—22no—
1327C2×C4—21no—
1328C2×C4—21no—
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—44no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—84no—
1379C2×C4—82no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4—162no—
1383C2×C4—162no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4#52512yes—
1387C2×C4#57612yes—
1388C2×C4C22×#4111yescharacteristic
1389C2×C4C22×#4111yescharacteristic
1390C2×C4C2×H(5,𝔽2)11yescharacteristic
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4#58511yescharacteristic
1394C8—22no—
1395C8—22no—
1396C8—22no—
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
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—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—168no—
1459C22—168no—
1460C22—168no—
1461C22C2×#52511yescharacteristic
1462C22#349611yescharacteristic
1463C22#349811yescharacteristic
1464C22C2×#57611yescharacteristic
1465C22C2×#57611yescharacteristic
1466C22#358511yescharacteristic
1467C22#358511yescharacteristic
1468C4—22no—
1469C4—22no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—42no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4#349011yescharacteristic
1491C4#350511yescharacteristic
1492C4#351411yescharacteristic
1493C4#351911yescharacteristic
1494C2—42no—
1495C2—42no—
1496C2—82no—
1497C2—82no—
1498C2—82no—
1499C2—161no—
1500C2—161no—
1501C2—161no—
1502C2#3536111yescharacteristic
1503C2#6057811yescharacteristic
1504C2#6059011yescharacteristic
1505C2#6227011yescharacteristic
1506C2#6228311yescharacteristic
1507C2#6245911yescharacteristic
1508C2#6246311yescharacteristic
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. #37331C2semidirect
2. #34471C2semidirect
3. #29564C2semidirect
4. #29505C2semidirect
5. #29476C2semidirect
6. #29453C2semidirect
7. #28387C2semidirect
8. #28310C2semidirect
9. #27495C2semidirect
10. #27240C2semidirect
11. #27218C2semidirect
12. #27079C2semidirect
13. #26943C2semidirect
14. #26787C2semidirect
15. #26584C2semidirect
16. #26345C2semidirect
17. #26127C2semidirect
18. #25976C2semidirect
19. #25148C2semidirect
20. #25097C2semidirect
21. #24878C2semidirect
22. #24650C2semidirect
23. #24500C2semidirect
24. #24440C2semidirect
25. #24354C2semidirect
26. #23848C2semidirect
27. #22056C2semidirect
28. #22056C2semidirect
29. #21536C2semidirect
30. #21233C2semidirect
31. #21109C2semidirect
34. C2×#481C22semidirect
35. C2×#481C22semidirect
36. C2×#478C22semidirect
37. C2×#478C22semidirect
39. C2×#459C22semidirect
40. C2×#459C22semidirect
41. C2×#459C22semidirect
46. C2×#447C22semidirect
47. C2×C4×D8C22semidirect
48. C2×#431C22semidirect
49. C2×#427C22semidirect
51. C2×#418C22semidirect
52. C2×#405C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
63. #2644C22semidirect
64. #2641C22semidirect
65. #2512C22semidirect
66. #2490C22semidirect
67. #2445C22semidirect
68. #2441C22semidirect
69. #2433C22semidirect
70. #2428C22semidirect
75. #2366C22semidirect
77. #2361C22semidirect
79. #2357C22semidirect
83. D4×C22⋊C4C22semidirect
85. #2328C22semidirect
87. #2324C22semidirect
90. #2319C22semidirect
92. #2309C22semidirect
94. C4×#121C22semidirect
95. C2×#390C22semidirect
97. #2094C22semidirect
98. #2094C22semidirect
99. #2092C22semidirect
100. #2092C22semidirect
101. #2088C22semidirect
102. #2085C22semidirect
103. #2077C22semidirect
104. #2073C22semidirect
105. #2067C22semidirect
106. #2067C22semidirect
107. #2067C22semidirect
108. #2065C22semidirect
109. #2059C22semidirect
112. #2054C22semidirect
113. #2041C22semidirect
114. #2041C22semidirect
115. #2034C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2025C22semidirect
124. #2011C22semidirect
125. #2011C22semidirect
128. #1999C22semidirect
129. #1982C22semidirect
132. #1972C22semidirect
133. #1972C22semidirect
134. #1972C22semidirect
135. #1972C22semidirect
136. #1972C22semidirect
139. #1970C22semidirect
140. #1970C22semidirect
141. #1970C22semidirect
142. #1970C22semidirect
143. #1947C22semidirect
144. #1944C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1934C22semidirect
148. #1934C22semidirect
149. #1934C22semidirect
150. #1934C22semidirect
151. #1926C22semidirect
152. #1926C22semidirect
153. #1926C22semidirect
154. #1926C22semidirect
155. #1925C22semidirect
156. #1925C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1924C22semidirect
160. #1923C22semidirect
161. #1919C22semidirect
162. #1919C22semidirect
163. #1917C22semidirect
164. #1916C22semidirect
166. #1893C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
186. #1854C22semidirect
187. #1854C22semidirect
188. #1852C22semidirect
189. #1851C22semidirect
190. #1850C22semidirect
191. #1809C22semidirect
192. #1802C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. C4×#106C22semidirect
197. #1768C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1750C22semidirect
201. #1749C22semidirect
202. #1746C22semidirect

Maximal subgroups

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

subgroupindex
#373312
#344712
#295642
#295052
#294762
#294532
#283872
#283102
#274952
#272402
#272182
#270792
#269432
#267872
#265842
#263452
#261272
#259762
#251482
#250972
#248782
#246502
#245002
#244402
#243542
#238482
#220562
#215362
#212332
#211092