Finite Group Databasebeta

← #7608575

Subgroups — #7608575

Order 512.

1963 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#44901C211yesmaximal, characteristic, complemented
2#44872C211yesmaximal, characteristic, complemented
3#32162C211yesmaximal, characteristic, complemented
4#32061C211yesmaximal, characteristic, complemented
5#31530C211yesmaximal, characteristic, complemented
6#30984C211yesmaximal, characteristic, complemented
7#29088C211yesmaximal, characteristic, complemented
8#28991C211yesmaximal, characteristic, complemented
9#28916C211yesmaximal, characteristic, complemented
10#28873C211yesmaximal, characteristic, complemented
11#28421C211yesmaximal, characteristic, complemented
12#28353C211yesmaximal, characteristic, complemented
13#27591C211yesmaximal, characteristic, complemented
14#27279C211yesmaximal, characteristic, complemented
15#27240C211yesmaximal, characteristic, complemented
16#27211C211yesmaximal, characteristic, complemented
17#27079C211yesmaximal, characteristic, complemented
18#26954C211yesmaximal, characteristic, complemented
19#26345C211yesmaximal, characteristic, complemented
20#26141C211yesmaximal, characteristic, complemented
21#25132C211yesmaximal, characteristic, complemented
22#24354C211yesmaximal, characteristic, complemented
23#23939C211yesmaximal, characteristic, complemented
24#23848C211yesmaximal, characteristic, complemented
25#23093C211yesmaximal, characteristic, complemented
26#22868C211yesmaximal, characteristic, complemented
27#22868C211yesmaximal, characteristic, complemented
28#22428C211yesmaximal, characteristic, complemented
29#21571C211yesmaximal, characteristic, complemented
30#21414C211yesmaximal, characteristic, complemented
31#21233C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#540C2211yescharacteristic
35C2×#490C2211yescharacteristic, complemented
36C2×#482C2211yescharacteristic, complemented
37C2×#478C2211yescharacteristic, complemented
38C2×#469C2211yescharacteristic, complemented
39C2×#459C2211yescharacteristic
40C2×#459C2211yescharacteristic, complemented
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic, complemented
45C2×#442C2211yescharacteristic, complemented
46C2×#436C2211yescharacteristic
47C2×#427C2211yescharacteristic, complemented
48C2×#418C2211yescharacteristic
49C2×#418C2211yescharacteristic, complemented
50C2×#418C2211yescharacteristic, complemented
51C2×#405C2211yescharacteristic, complemented
52#2797—21no—
53#2735—21no—
54#2705—21no—
55#2703—21no—
56#2685—21no—
57#2678—21no—
58#2678—21no—
59#2668—21no—
60#2601—21no—
61#2595—21no—
62#2566C2211yescharacteristic, complemented
63#2541C2211yescharacteristic, complemented
64#2539—21no—
65#2512C2211yescharacteristic, complemented
66#2512C2211yescharacteristic, complemented
67#2500C2211yescharacteristic, complemented
68#2490C2211yescharacteristic, complemented
69#2490C2211yescharacteristic, complemented
70#2480—21no—
71#2464—21no—
72#2454C2211yescharacteristic, complemented
73#2445C2211yescharacteristic, complemented
74#2441C2211yescharacteristic, complemented
75#2433C2211yescharacteristic
76#2433C2211yescharacteristic, complemented
77#2428C2211yescharacteristic, complemented
78#2422C2211yescharacteristic, complemented
79#2414C2211yescharacteristic
80#2411—21no—
81#2410—21no—
82#2408—21no—
83#2408C2211yescharacteristic
84#2395C2211yescharacteristic
85#2366C2211yescharacteristic, complemented
86#2363C2211yescharacteristic
87#2363C2211yescharacteristic, complemented
88#2354C2211yescharacteristic
89#2354C2211yescharacteristic, complemented
90D4×C22⋊C4C2211yescharacteristic, complemented
91D4×C22⋊C4C2211yescharacteristic, complemented
92#2314C2211yescharacteristic, complemented
93#2309C2211yescharacteristic
94#2309C2211yescharacteristic, complemented
95#2094C2211yescharacteristic, complemented
96#2094C2211yescharacteristic, complemented
97#2092C2211yescharacteristic, complemented
98#2092C2211yescharacteristic, complemented
99#2088C2211yescharacteristic, complemented
100#2083C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2071C2211yescharacteristic, complemented
103#2071C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2065C2211yescharacteristic, complemented
107#2059C2211yescharacteristic, complemented
108#2054C2211yescharacteristic
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2033C2211yescharacteristic, complemented
114#2033C2211yescharacteristic, complemented
115#2025C2211yescharacteristic, complemented
116#2025C2211yescharacteristic, complemented
117#2025C2211yescharacteristic, complemented
118#2011C2211yescharacteristic
119#2011C2211yescharacteristic
120#2011C2211yescharacteristic
121#2011C2211yescharacteristic, complemented
122#2011C2211yescharacteristic, complemented
123#2011C2211yescharacteristic, complemented
124#1999C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic, complemented
127#1992C2211yescharacteristic, complemented
128#1991C2211yescharacteristic, complemented
129#1982C2211yescharacteristic, complemented
130#1972C2211yescharacteristic
131#1972C2211yescharacteristic
132#1972C2211yescharacteristic, complemented
133#1972C2211yescharacteristic, complemented
134#1970C2211yescharacteristic
135#1970C2211yescharacteristic
136#1970C2211yescharacteristic, complemented
137#1970C2211yescharacteristic, complemented
138#1970C2211yescharacteristic, complemented
139#1970C2211yescharacteristic, complemented
140#1961C2211yescharacteristic, complemented
141#1957C2211yescharacteristic, complemented
142#1957C2211yescharacteristic, complemented
143#1957C2211yescharacteristic, complemented
144#1947C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1934C2211yescharacteristic, complemented
148#1934C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1926C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1917C2211yescharacteristic, complemented
160#1916C2211yescharacteristic, complemented
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
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#1875C2211yescharacteristic, complemented
180#1869C2211yescharacteristic
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1818C2211yescharacteristic, complemented
188#1802C2211yescharacteristic, complemented
189#1786C2211yescharacteristic
190#1786C2211yescharacteristic
191#1786C2211yescharacteristic, complemented
192#1771C2211yescharacteristic, complemented
193C8×C4⋊C4C2211yescharacteristic, complemented
194#1762C2211yescharacteristic, complemented
195#1762C2211yescharacteristic, complemented
196C4×#102C2211yescharacteristic, complemented
197C4×#102C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, 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×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221D42—24no—
222D42—42no—
223#540—24no—
224#540—42no—
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#126—21no—
231C2×#125C2311yescharacteristic
232C2×#125C2311yescharacteristic
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#120—21no—
250C2×#120—21no—
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×#120—21no—
255C2×#120—21no—
256C2×C4×D4—21no—
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×#117—21no—
265C2×#117C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271#490—42no—
272#482—42no—
273#478—42no—
274#469—42no—
275#459—24no—
276#459—42no—
277#447—24no—
278#447—24no—
279#447—42no—
280#447—42no—
281#442—42no—
282#436—42no—
283#427—42no—
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295#418—42no—
296#418—42no—
297#418—42no—
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×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335#405—42no—
336C2×#97C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340C2×C4×C8C2311yescharacteristic
341C2×C4×C8C2311yescharacteristic
342C2×C4×C8C2311yescharacteristic
343#400D411yescharacteristic
344#399—21no—
345#399—21no—
346#399D411yescharacteristic
347#398D411yescharacteristic
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397D411yescharacteristic
354#397D411yescharacteristic
355#397D411yescharacteristic
356#396—21no—
357#396—21no—
358#396—21no—
359#396—21no—
360#396—21no—
361#396—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#394—21no—
371#394—21no—
372#394D411yescharacteristic
373#394D411yescharacteristic
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#390—21no—
384#390—21no—
385#390—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#390C2311yescharacteristic
395#390C2311yescharacteristic
396#390C2311yescharacteristic
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#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
416#388—21no—
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#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#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#384C2311yescharacteristic
448#384C2311yescharacteristic
449#384C2311yescharacteristic
450#382C2311yescharacteristic
451#380—21no—
452#380—21no—
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#379—21no—
458#379—21no—
459#379—21no—
460#379—21no—
461#379—21no—
462#379—21no—
463#379—21no—
464C4×C4⋊C4—21no—
465C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
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—
504C25—21no—
505C22×D4—21no—
506C22×D4—22no—
507C22×D4—22no—
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—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
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—41no—
539C22×D4—41no—
540C22×D4—44no—
541C22×D4—82no—
542C22×D4—82no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C2×D8—22no—
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—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—416no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8#4114yes—
583C2×M16—22no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C22×C8—22no—
590C22×C8—22no—
591C22×C8—22no—
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600#127—22no—
601#127—22no—
602#127—22no—
603#127—41no—
604#127—41no—
605#127—41no—
606#127—41no—
607#127—41no—
608#126—82no—
609#126—82no—
610#125—22no—
611#125—41no—
612#125—41no—
613#125—41no—
614#123—44no—
615#123—44no—
616#123—82no—
617#123—82no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—44no—
624#121—44no—
625#121—44no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—82no—
633#121—82no—
634#121—82no—
635#121#4114yes—
636#120—44no—
637#120—44no—
638#120—82no—
639#120—82no—
640#120—82no—
641#120—82no—
642#120—82no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
657C4×D4—82no—
658#117—22no—
659#117—22no—
660#117—41no—
661#117—41no—
662#117—41no—
663#117—41no—
664#117—41no—
665#117—41no—
666#117—82no—
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—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
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⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
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×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—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—82no—
750C2×C22⋊C4—82no—
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773#107—41no—
774#107—41no—
775#107—41no—
776#107—41no—
777#106—22no—
778#106—22no—
779#106—41no—
780#106—41no—
781C4⋊C8—22no—
782C4⋊C8—22no—
783C4⋊C8—41no—
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—22no—
795#102—22no—
796#102—22no—
797#102—22no—
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—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—22no—
819C22⋊C8—22no—
820C22⋊C8—41no—
821#97—22no—
822#97—41no—
823#97—41no—
824C4×C8—41no—
825C4×C8—41no—
826C4×C8—41no—
827C4×C8—41no—
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—
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881C2×D4—22no—
882C2×D4—24no—
883C2×D4—22no—
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—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—44no—
918C2×D4—44no—
919C2×D4—44no—
920C2×D4—44no—
921C2×D4—41no—
922C2×D4—42no—
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—42no—
933C2×D4—42no—
934C2×D4—44no—
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—82no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—82no—
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—82no—
966C2×D4—82no—
967C2×D4—82no—
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—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—816no—
981C2×D4C2×#4112yes—
982C2×D4C2×#4112yes—
983C2×D4C2×#4112yes—
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—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
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×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
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×C4C22×D411yescharacteristic
1034C22×C4C2×#4112yes—
1035C22×C4H(5,𝔽2)12yes—
1036C22×C4C2511yescharacteristic
1037D8—44no—
1038D8—44no—
1039D8—44no—
1040D8—44no—
1041D8—44no—
1042D8—82no—
1043D8—82no—
1044D8—82no—
1045M16—44no—
1046M16—82no—
1047C2×C8—28no—
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×C8—21no—
1069C2×C8C2×#4112yes—
1070C2×C8H(5,𝔽2)12yes—
1071C2×C8H(5,𝔽2)12yes—
1072C4⋊C4—22no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
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—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—41no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—81no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4C2×#4112yes—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—22no—
1116C22⋊C4—24no—
1117C22⋊C4—22no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
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—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—42no—
1185C42—81no—
1186C42—81no—
1187C42—81no—
1188C42—81no—
1189C42—81no—
1190C42—81no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—22no—
1200C23—21no—
1201C23—22no—
1202C23—21no—
1203C23—22no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
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—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—84no—
1247C23—84no—
1248C23—84no—
1249C23—84no—
1250C23—84no—
1251C23—84no—
1252C23—84no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23—162no—
1259C23—162no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23—162no—
1267C23#54612yes—
1268C23C23×D411yescharacteristic
1269D4—22no—
1270D4—22no—
1271D4—22no—
1272D4—22no—
1273D4—22no—
1274D4—22no—
1275D4—44no—
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—41no—
1292D4—41no—
1293D4—41no—
1294D4—84no—
1295D4—84no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—22no—
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—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—84no—
1383C2×C4—84no—
1384C2×C4—162no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4—162no—
1388C2×C4#54612yes—
1389C2×C4#57612yes—
1390C2×C4#57612yes—
1391C2×C4C22×#4111yescharacteristic
1392C2×C4C22×#4111yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4#58511yescharacteristic
1397C8—22no—
1398C8—22no—
1399C8—22no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—42no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—41no—
1425C22—42no—
1426C22—41no—
1427C22—41no—
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—81no—
1459C22—81no—
1460C22—81no—
1461C22—168no—
1462C22—168no—
1463C22—168no—
1464C22C2×#54611yescharacteristic
1465C22D4×#4111yescharacteristic
1466C22#349811yescharacteristic
1467C22C2×#57611yescharacteristic
1468C22C2×#57611yescharacteristic
1469C22#358511yescharacteristic
1470C22#358511yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—22no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—42no—
1482C4—41no—
1483C4—41no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4#348111yescharacteristic
1494C4#349011yescharacteristic
1495C4#351411yescharacteristic
1496C4#353411yescharacteristic
1497C2—42no—
1498C2—81no—
1499C2—82no—
1500C2—82no—
1501C2—82no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#5980011yescharacteristic
1506C2#6118311yescharacteristic
1507C2#6120511yescharacteristic
1508C2#6148011yescharacteristic
1509C2#6150611yescharacteristic
1510C2#6246311yescharacteristic
1511C2#6246311yescharacteristic
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. #44901C2semidirect
2. #44872C2semidirect
3. #32162C2semidirect
4. #32061C2semidirect
5. #31530C2semidirect
6. #30984C2semidirect
7. #29088C2semidirect
8. #28991C2semidirect
9. #28916C2semidirect
10. #28873C2semidirect
11. #28421C2semidirect
12. #28353C2semidirect
13. #27591C2semidirect
14. #27279C2semidirect
15. #27240C2semidirect
16. #27211C2semidirect
17. #27079C2semidirect
18. #26954C2semidirect
19. #26345C2semidirect
20. #26141C2semidirect
21. #25132C2semidirect
22. #24354C2semidirect
23. #23939C2semidirect
24. #23848C2semidirect
25. #23093C2semidirect
26. #22868C2semidirect
27. #22868C2semidirect
28. #22428C2semidirect
29. #21571C2semidirect
30. #21414C2semidirect
31. #21233C2semidirect
35. C2×#490C22semidirect
36. C2×#482C22semidirect
37. C2×#478C22semidirect
38. C2×#469C22semidirect
40. C2×#459C22semidirect
44. C2×#447C22semidirect
45. C2×#442C22semidirect
47. C2×#427C22semidirect
49. C2×#418C22semidirect
50. C2×#418C22semidirect
51. C2×#405C22semidirect
62. #2566C22semidirect
63. #2541C22semidirect
65. #2512C22semidirect
66. #2512C22semidirect
67. #2500C22semidirect
68. #2490C22semidirect
69. #2490C22semidirect
72. #2454C22semidirect
73. #2445C22semidirect
74. #2441C22semidirect
76. #2433C22semidirect
77. #2428C22semidirect
78. #2422C22semidirect
85. #2366C22semidirect
87. #2363C22semidirect
89. #2354C22semidirect
90. D4×C22⋊C4C22semidirect
91. D4×C22⋊C4C22semidirect
92. #2314C22semidirect
94. #2309C22semidirect
95. #2094C22semidirect
96. #2094C22semidirect
97. #2092C22semidirect
98. #2092C22semidirect
99. #2088C22semidirect
100. #2083C22semidirect
101. #2077C22semidirect
102. #2071C22semidirect
103. #2071C22semidirect
104. #2071C22semidirect
105. #2067C22semidirect
106. #2065C22semidirect
107. #2059C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
113. #2033C22semidirect
114. #2033C22semidirect
115. #2025C22semidirect
116. #2025C22semidirect
117. #2025C22semidirect
121. #2011C22semidirect
122. #2011C22semidirect
123. #2011C22semidirect
126. #1999C22semidirect
127. #1992C22semidirect
128. #1991C22semidirect
129. #1982C22semidirect
132. #1972C22semidirect
133. #1972C22semidirect
136. #1970C22semidirect
137. #1970C22semidirect
138. #1970C22semidirect
139. #1970C22semidirect
140. #1961C22semidirect
141. #1957C22semidirect
142. #1957C22semidirect
143. #1957C22semidirect
144. #1947C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1934C22semidirect
148. #1934C22semidirect
149. #1926C22semidirect
150. #1926C22semidirect
151. #1926C22semidirect
152. #1925C22semidirect
153. #1925C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1923C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
159. #1917C22semidirect
160. #1916C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
166. #1893C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1850C22semidirect
187. #1818C22semidirect
188. #1802C22semidirect
191. #1786C22semidirect
192. #1771C22semidirect
193. C8×C4⋊C4C22semidirect
194. #1762C22semidirect
195. #1762C22semidirect
196. C4×#102C22semidirect
197. C4×#102C22semidirect
198. C4×#102C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect

Maximal subgroups

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

subgroupindex
#449012
#448722
#321622
#320612
#315302
#309842
#290882
#289912
#289162
#288732
#284212
#283532
#275912
#272792
#272402
#272112
#270792
#269542
#263452
#261412
#251322
#243542
#239392
#238482
#230932
#228682
#224282
#215712
#214142
#212332