Finite Group Databasebeta

← #6783114

Subgroups — #6783114

Order 512.

1947 conjugacy classes of subgroups.

The subgroup lattice has 1515 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38110C211yesmaximal, characteristic, complemented
2#38080C211yesmaximal, characteristic, complemented
3#33042C211yesmaximal, characteristic, complemented
4#32431C211yesmaximal, characteristic, complemented
5#32162C211yesmaximal, characteristic, complemented
6#32051C211yesmaximal, characteristic, complemented
7#31933C211yesmaximal, characteristic, complemented
8#31523C211yesmaximal, characteristic, complemented
9#30984C211yesmaximal, characteristic, complemented
10#30874C211yesmaximal, characteristic, complemented
11#30519C211yesmaximal, characteristic, complemented
12#30349C211yesmaximal, characteristic, complemented
13#30329C211yesmaximal, characteristic, complemented
14#29564C211yesmaximal, characteristic, complemented
15#29505C211yesmaximal, characteristic, complemented
16#29109C211yesmaximal, characteristic, complemented
17#28310C211yesmaximal, characteristic, complemented
18#24662C211yesmaximal, characteristic, complemented
19#24583C211yesmaximal, characteristic, complemented
20#24531C211yesmaximal, characteristic, complemented
21#24512C211yesmaximal, characteristic, complemented
22#24478C211yesmaximal, characteristic, complemented
23#24354C211yesmaximal, characteristic, complemented
24#24092C211yesmaximal, characteristic, complemented
25#24033C211yesmaximal, characteristic, complemented
26#23963C211yesmaximal, characteristic, complemented
27#23848C211yesmaximal, characteristic, complemented
28#22158C211yesmaximal, characteristic, complemented
29#22056C211yesmaximal, characteristic, complemented
30C2×#1970C211yesmaximal, characteristic, complemented
31#21103C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#486C2211yescharacteristic, complemented
36C2×#481C2211yescharacteristic
37C2×#481C2211yescharacteristic, complemented
38C2×#459C2211yescharacteristic
39C2×#459C2211yescharacteristic, complemented
40C2×#447C2211yescharacteristic
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic, complemented
44C2×#433C2211yescharacteristic, complemented
45C22×#107C2211yescharacteristic, complemented
46C22×#102C2211yescharacteristic
47C22×#102C2211yescharacteristic, complemented
48C22×C4×C8C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2796—21no—
52#2751—21no—
53#2730—21no—
54#2714—21no—
55#2714—21no—
56#2705—21no—
57#2678—21no—
58#2678—21no—
59#2644C2211yescharacteristic, complemented
60#2641C2211yescharacteristic, complemented
61#2624C2211yescharacteristic, complemented
62#2619C2211yescharacteristic, complemented
63#2566C2211yescharacteristic, complemented
64#2541C2211yescharacteristic, complemented
65#2512C2211yescharacteristic, complemented
66#2504C2211yescharacteristic
67#2500C2211yescharacteristic, complemented
68#2491C2211yescharacteristic, complemented
69#2487C2211yescharacteristic
70#2480—21no—
71#2472—21no—
72#2452C2211yescharacteristic, complemented
73#2437—21no—
74#2433C2211yescharacteristic
75#2433C2211yescharacteristic, complemented
76#2424—21no—
77#2424—21no—
78#2422C2211yescharacteristic, complemented
79#2412—21no—
80#2410—21no—
81#2410—21no—
82#2408C2211yescharacteristic
83#2345C2211yescharacteristic, complemented
84D4×C22⋊C4C2211yescharacteristic, complemented
85#2328C2211yescharacteristic, complemented
86#2324C2211yescharacteristic, complemented
87#2319C2211yescharacteristic, complemented
88#2309C2211yescharacteristic, complemented
89C2×#390C2211yescharacteristic
90C2×#390C2211yescharacteristic, complemented
91#2290C2211yescharacteristic
92#2094C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2085C2211yescharacteristic, complemented
95#2085C2211yescharacteristic, complemented
96#2073C2211yescharacteristic, complemented
97#2073C2211yescharacteristic, complemented
98#2071C2211yescharacteristic, complemented
99#2071C2211yescharacteristic, complemented
100#2067C2211yescharacteristic, complemented
101#2067C2211yescharacteristic, complemented
102#2065C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2059C2211yescharacteristic, complemented
105#2059C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2033C2211yescharacteristic, complemented
117#2033C2211yescharacteristic, complemented
118#2025C2211yescharacteristic, complemented
119#2025C2211yescharacteristic, complemented
120#2023C2211yescharacteristic, complemented
121#2023C2211yescharacteristic, complemented
122#2011C2211yescharacteristic
123#2011C2211yescharacteristic
124#2011C2211yescharacteristic
125#2011C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic, complemented
131#1999C2211yescharacteristic, complemented
132#1990C2211yescharacteristic, complemented
133#1982C2211yescharacteristic, complemented
134#1982C2211yescharacteristic, complemented
135#1972C2211yescharacteristic, complemented
136#1972C2211yescharacteristic, complemented
137#1972C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1970C2211yescharacteristic
140#1970C2211yescharacteristic
141#1970C2211yescharacteristic
142#1970C2211yescharacteristic
143#1970C2211yescharacteristic, complemented
144#1970C2211yescharacteristic, complemented
145#1970C2211yescharacteristic, complemented
146#1970C2211yescharacteristic, complemented
147#1957C2211yescharacteristic, complemented
148#1949C2211yescharacteristic, complemented
149#1949C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1926C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1916C2211yescharacteristic, complemented
165#1916C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic, complemented
169#1893C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1854C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1834C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1768C2211yescharacteristic, 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
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220#553—42no—
221#553—42no—
222D42—42no—
223D42—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127C2311yescharacteristic
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#126—21no—
230C2×#126—21no—
231C2×#125C2311yescharacteristic
232C2×#124—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—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×#117C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C22⋊C4—21no—
267C22×C22⋊C4—21no—
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271C22×C42C2311yescharacteristic
272#486—42no—
273#481—42no—
274#481—42no—
275#459—24no—
276#459—42no—
277#447—24no—
278#447—42no—
279#447—42no—
280#447—42no—
281#433—42no—
282C2×#107—42no—
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×C4⋊C8C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×#102—42no—
296C2×#102—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×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×#97C2311yescharacteristic
336C2×#97C2311yescharacteristic
337C2×C4×C8—42no—
338C2×C4×C8C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340C2×C4×C8C2311yescharacteristic
341C2×C4×C8C2311yescharacteristic
342#400—21no—
343#399—21no—
344#399—21no—
345#397—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#396—21no—
354#396—21no—
355#396—21no—
356#396—21no—
357#396—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#393—21no—
372#393—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#391—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#390C2311yescharacteristic
393#390C2311yescharacteristic
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#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388D411yescharacteristic
425#388D411yescharacteristic
426#387—21no—
427#387—21no—
428#387D411yescharacteristic
429#387D411yescharacteristic
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#386D411yescharacteristic
441#386D411yescharacteristic
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385D411yescharacteristic
449#385D411yescharacteristic
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#382C2311yescharacteristic
453#382C2311yescharacteristic
454#381—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464#379—21no—
465#379—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472#376C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
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#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499C25—21no—
500C25—21no—
501C25—21no—
502C22×Q8—21no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—22no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
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—44no—
539C22×D4—82no—
540C22×D4—82no—
541C22×D4C2×D411yescharacteristic
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×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
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—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×D8—41no—
571C2×D8—416no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8#4114yes—
583C22×C8—22no—
584C22×C8—22no—
585C22×C8—22no—
586C22×C8—22no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C4⋊Q8—41no—
598C4⋊Q8—41no—
599#127—22no—
600#127—41no—
601#127—41no—
602#127—41no—
603#127—41no—
604#127—41no—
605#127—41no—
606#127—41no—
607#126—44no—
608#126—82no—
609#125—41no—
610#125—41no—
611#124—82no—
612#123—44no—
613#123—82no—
614C22⋊Q8—82no—
615C22⋊Q8—82no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—41no—
622#121—41no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—44no—
627#121—44no—
628#121—41no—
629#121—41no—
630#121—82no—
631#121—82no—
632#121—82no—
633#121—82no—
634#120—44no—
635#120—44no—
636#120—82no—
637#120—82no—
638#120—82no—
639#120—82no—
640#120—82no—
641C4×D4—22no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—41no—
648C4×D4—41no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—44no—
652#117—41no—
653#117—41no—
654#117—41no—
655#117—41no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
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—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⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2×D411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
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—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—82no—
742C2×C22⋊C4—82no—
743C2×C22⋊C4—82no—
744C2×C22⋊C4—82no—
745C2×C22⋊C4—82no—
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—41no—
758C2×C42—41no—
759C2×C42C2×D411yescharacteristic
760C2×C42C2×D411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766#107—41no—
767#107—41no—
768#107—41no—
769#107—41no—
770#106—41no—
771#106—41no—
772#106—41no—
773#106—41no—
774C4⋊C8—22no—
775C4⋊C8—22no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778#102—22no—
779#102—22no—
780#102—22no—
781#102—22no—
782#102—22no—
783#102—22no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816#97—41no—
817#97—41no—
818C4×C8—22no—
819C4×C8—22no—
820C4×C8—41no—
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—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—42no—
855C24—42no—
856C24—42no—
857C24—42no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
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×Q8—42no—
878C2×Q8—81no—
879C2×Q8—81no—
880C2×D4—22no—
881C2×D4—22no—
882C2×D4—22no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—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—42no—
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—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—82no—
943C2×D4—82no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—816no—
981C2×D4C2×#4112yes—
982C2×D4C2×#4112yes—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
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×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4H(5,𝔽2)12yes—
1040C22×C4H(5,𝔽2)12yes—
1041C22×C4C2511yescharacteristic
1042D8—44no—
1043D8—44no—
1044D8—44no—
1045D8—44no—
1046D8—82no—
1047D8—82no—
1048D8—82no—
1049D8—82no—
1050C2×C8—28no—
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×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—44no—
1074C2×C8C2×#4112yes—
1075C2×C8H(5,𝔽2)12yes—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
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—21no—
1098C4⋊C4—21no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C22⋊C4—22no—
1117C22⋊C4—22no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
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—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
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—
1174C22⋊C4—81no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—41no—
1186C42—41no—
1187C42—42no—
1188C42—81no—
1189C42—81no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—22no—
1196C23—21no—
1197C23—22no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—84no—
1244C23—84no—
1245C23—84no—
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#53512yes—
1265C23#57612yes—
1266C23#57712yes—
1267C23C23×D411yescharacteristic
1268Q8—162no—
1269D4—22no—
1270D4—22no—
1271D4—22no—
1272D4—22no—
1273D4—44no—
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—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—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—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—44no—
1349C2×C4—44no—
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—41no—
1383C2×C4—41no—
1384C2×C4—84no—
1385C2×C4—162no—
1386C2×C4—162no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4#53512yes—
1391C2×C4#57612yes—
1392C2×C4#57612yes—
1393C2×C4C22×#4111yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4C2×H(5,𝔽2)11yescharacteristic
1397C2×C4#58511yescharacteristic
1398C2×C4#58511yescharacteristic
1399C8—22no—
1400C8—22no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—41no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—41no—
1418C22—42no—
1419C22—42no—
1420C22—41no—
1421C22—42no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
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—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—168no—
1463C22—168no—
1464C22—168no—
1465C22#322414yes—
1466C22C2×#53511yescharacteristic
1467C22D4×#4111yescharacteristic
1468C22#349611yescharacteristic
1469C22C2×#57611yescharacteristic
1470C22C2×#57611yescharacteristic
1471C22C2×#57611yescharacteristic
1472C22C2×#57711yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4#349011yescharacteristic
1496C4#351311yescharacteristic
1497C4#354211yescharacteristic
1498C4#354511yescharacteristic
1499C2—24no—
1500C2—81no—
1501C2—82no—
1502C2—82no—
1503C2—161no—
1504C2—161no—
1505C2—161no—
1506C2—161no—
1507C2#3842011yescharacteristic
1508C2C2×#322411yescharacteristic
1509C2#6081711yescharacteristic
1510C2#6148011yescharacteristic
1511C2#6149611yescharacteristic
1512C2#6227011yescharacteristic
1513C2#6228011yescharacteristic
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. #38110C2semidirect
2. #38080C2semidirect
3. #33042C2semidirect
4. #32431C2semidirect
5. #32162C2semidirect
6. #32051C2semidirect
7. #31933C2semidirect
8. #31523C2semidirect
9. #30984C2semidirect
10. #30874C2semidirect
11. #30519C2semidirect
12. #30349C2semidirect
13. #30329C2semidirect
14. #29564C2semidirect
15. #29505C2semidirect
16. #29109C2semidirect
17. #28310C2semidirect
18. #24662C2semidirect
19. #24583C2semidirect
20. #24531C2semidirect
21. #24512C2semidirect
22. #24478C2semidirect
23. #24354C2semidirect
24. #24092C2semidirect
25. #24033C2semidirect
26. #23963C2semidirect
27. #23848C2semidirect
28. #22158C2semidirect
29. #22056C2semidirect
30. C2×#1970C2semidirect
31. #21103C2semidirect
35. C2×#486C22semidirect
37. C2×#481C22semidirect
39. C2×#459C22semidirect
43. C2×#447C22semidirect
44. C2×#433C22semidirect
45. C22×#107C22semidirect
47. C22×#102C22semidirect
48. C22×C4×C8C22semidirect
49. #2857C22semidirect
59. #2644C22semidirect
60. #2641C22semidirect
61. #2624C22semidirect
62. #2619C22semidirect
63. #2566C22semidirect
64. #2541C22semidirect
65. #2512C22semidirect
67. #2500C22semidirect
68. #2491C22semidirect
72. #2452C22semidirect
75. #2433C22semidirect
78. #2422C22semidirect
83. #2345C22semidirect
84. D4×C22⋊C4C22semidirect
85. #2328C22semidirect
86. #2324C22semidirect
87. #2319C22semidirect
88. #2309C22semidirect
90. C2×#390C22semidirect
92. #2094C22semidirect
93. #2094C22semidirect
94. #2085C22semidirect
95. #2085C22semidirect
96. #2073C22semidirect
97. #2073C22semidirect
98. #2071C22semidirect
99. #2071C22semidirect
100. #2067C22semidirect
101. #2067C22semidirect
102. #2065C22semidirect
103. #2065C22semidirect
104. #2059C22semidirect
105. #2059C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
109. #2054C22semidirect
110. #2041C22semidirect
111. #2041C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2033C22semidirect
117. #2033C22semidirect
118. #2025C22semidirect
119. #2025C22semidirect
120. #2023C22semidirect
121. #2023C22semidirect
125. #2011C22semidirect
126. #2011C22semidirect
127. #2011C22semidirect
130. #1999C22semidirect
131. #1999C22semidirect
132. #1990C22semidirect
133. #1982C22semidirect
134. #1982C22semidirect
135. #1972C22semidirect
136. #1972C22semidirect
137. #1972C22semidirect
138. #1972C22semidirect
143. #1970C22semidirect
144. #1970C22semidirect
145. #1970C22semidirect
146. #1970C22semidirect
147. #1957C22semidirect
148. #1949C22semidirect
149. #1949C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
153. #1936C22semidirect
154. #1934C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
157. #1934C22semidirect
158. #1926C22semidirect
159. #1926C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1923C22semidirect
163. #1923C22semidirect
164. #1916C22semidirect
165. #1916C22semidirect
168. #1893C22semidirect
169. #1893C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1862C22semidirect
185. #1862C22semidirect
186. #1854C22semidirect
187. #1854C22semidirect
188. #1850C22semidirect
189. #1850C22semidirect
190. #1834C22semidirect
191. #1824C22semidirect
192. #1824C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1768C22semidirect
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
#381102
#380802
#330422
#324312
#321622
#320512
#319332
#315232
#309842
#308742
#305192
#303492
#303292
#295642
#295052
#291092
#283102
#246622
#245832
#245312
#245122
#244782
#243542
#240922
#240332
#239632
#238482
#221582
#220562
C2×#19702
#211032