Finite Group Databasebeta

← #6996913

Subgroups — #6996913

Order 512.

1941 conjugacy classes of subgroups.

The subgroup lattice has 1448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59148C211yesmaximal, characteristic, complemented
2#39367C211yesmaximal, characteristic, complemented
3#32612C211yesmaximal, characteristic, complemented
4#32605C211yesmaximal, characteristic, complemented
5#31656C211yesmaximal, characteristic, complemented
6#31654C211yesmaximal, characteristic, complemented
7#30902C211yesmaximal, characteristic, complemented
8#30902C211yesmaximal, characteristic, complemented
9#30899C211yesmaximal, characteristic, complemented
10#30879C211yesmaximal, characteristic, complemented
11#29160C211yesmaximal, characteristic, complemented
12#28426C211yesmaximal, characteristic, complemented
13#28414C211yesmaximal, characteristic, complemented
14#27262C211yesmaximal, characteristic, complemented
15#27258C211yesmaximal, characteristic, complemented
16#26916C211yesmaximal, characteristic, complemented
17#26890C211yesmaximal, characteristic, complemented
18#26844C211yesmaximal, characteristic, complemented
19#26826C211yesmaximal, characteristic, complemented
20#25963C211yesmaximal, characteristic, complemented
21#25950C211yesmaximal, characteristic, complemented
22#25864C211yesmaximal, characteristic, complemented
23#24358C211yesmaximal, characteristic, complemented
24#24355C211yesmaximal, characteristic
25#24205C211yesmaximal, characteristic, complemented
26#24185C211yesmaximal, characteristic, complemented
27C2×#2012C211yesmaximal, characteristic
28#23238C211yesmaximal, characteristic, complemented
29C22⋊C4×D8C211yesmaximal, characteristic
30#22437C211yesmaximal, characteristic, complemented
31#22049C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#556C2211yescharacteristic, complemented
35C2×#543—21no—
36C22×#124C2211yescharacteristic
37C2×#489C2211yescharacteristic, complemented
38C2×#489C2211yescharacteristic, complemented
39C2×#489C2211yescharacteristic, complemented
40C2×#487C2211yescharacteristic, complemented
41C2×#477C2211yescharacteristic, complemented
42C2×#474C2211yescharacteristic, complemented
43C2×#463C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#461C2211yescharacteristic, complemented
46C2×#461C2211yescharacteristic, complemented
47C2×#450C2211yescharacteristic
48C2×#440C2211yescharacteristic, complemented
49C2×#440C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic
51C2×C4×D8C2211yescharacteristic
52C22×#103C2211yescharacteristic
53C22×#102C2211yescharacteristic
54#2857C2211yescharacteristic
55#2732—21no—
56#2715—21no—
57#2700—21no—
58#2692—21no—
59#2692—21no—
60#2683—21no—
61#2626—21no—
62#2592C2211yescharacteristic, complemented
63#2547C2211yescharacteristic, complemented
64#2545C2211yescharacteristic, complemented
65#2545C2211yescharacteristic, complemented
66#2542C2211yescharacteristic, complemented
67#2542C2211yescharacteristic, complemented
68#2538C2211yescharacteristic, complemented
69#2538C2211yescharacteristic, complemented
70#2521—21no—
71#2480—21no—
72#2480—21no—
73#2474—21no—
74#2452C2211yescharacteristic, complemented
75#2452C2211yescharacteristic, complemented
76#2452C2211yescharacteristic, complemented
77#2452C2211yescharacteristic, complemented
78#2448C2211yescharacteristic, complemented
79#2447C2211yescharacteristic, complemented
80#2440C2211yescharacteristic
81#2440C2211yescharacteristic
82#2437—21no—
83#2437—21no—
84#2437—21no—
85#2435C2211yescharacteristic
86#2434C2211yescharacteristic
87#2367C2211yescharacteristic, complemented
88#2342—21no—
89Q8×C22⋊C4C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic
92D4×C22⋊C4C2211yescharacteristic
93C4×C22⋊Q8C2211yescharacteristic
94C4×C22⋊Q8C2211yescharacteristic
95C2×#390C2211yescharacteristic
96#2100C2211yescharacteristic, complemented
97#2095C2211yescharacteristic, complemented
98#2095C2211yescharacteristic, complemented
99#2093C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2057C2211yescharacteristic, complemented
107#2055C2211yescharacteristic, complemented
108#2055C2211yescharacteristic, complemented
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2043C2211yescharacteristic, complemented
112#2043C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2024C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2013C2211yescharacteristic, complemented
125#2013C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#1985C2211yescharacteristic, complemented
137#1984C2211yescharacteristic, complemented
138#1973C2211yescharacteristic, complemented
139#1973C2211yescharacteristic, complemented
140#1973C2211yescharacteristic, complemented
141#1973C2211yescharacteristic, complemented
142#1970C2211yescharacteristic
143#1970C2211yescharacteristic
144#1959C2211yescharacteristic, complemented
145#1959C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1956C2211yescharacteristic, complemented
148#1936C2211yescharacteristic, complemented
149#1936C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1933C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1925C2211yescharacteristic, complemented
156#1921C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1917C2211yescharacteristic, complemented
160#1917C2211yescharacteristic, complemented
161#1916C2211yescharacteristic, complemented
162#1892C2211yescharacteristic
163#1892C2211yescharacteristic
164#1880C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1872C2211yescharacteristic
179#1863C2211yescharacteristic, complemented
180#1863C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1862C2211yescharacteristic, complemented
185#1852C2211yescharacteristic
186#1850C2211yescharacteristic
187#1850C2211yescharacteristic
188#1808C2211yescharacteristic
189#1808C2211yescharacteristic
190#1803C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1787C2211yescharacteristic
193#1787C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1771C2211yescharacteristic, complemented
198#1770C2211yescharacteristic, complemented
199#1752C2211yescharacteristic
200C8×C22⋊C4C2211yescharacteristic
201#1749C2211yescharacteristic
202C2×#336C2211yescharacteristic
203C23×Q8C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×SD16—24no—
207C22×SD16—42no—
208C22×SD16—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8—24no—
216C22×D8—42no—
217C22×D8—42no—
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#556—42no—
225#556—42no—
226#543—48no—
227C2×C4⋊Q8C2311yescharacteristic
228C2×C4⋊Q8C2311yescharacteristic
229C2×C4⋊Q8C2311yescharacteristic
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#126—21no—
233C2×#126—21no—
234C2×#124—21no—
235C2×#124—21no—
236C2×#124—42no—
237C2×#124—42no—
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×C22⋊Q8—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8D411yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C4×Q8C2311yescharacteristic
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×Q8C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×#117—21no—
271C22×C4⋊C4C2311yescharacteristic
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C42C2311yescharacteristic
280#489—42no—
281#489—42no—
282#489—42no—
283#487—42no—
284#477—42no—
285#474—42no—
286#463—42no—
287#463—42no—
288#461—42no—
289#461—42no—
290#450—24no—
291#440—42no—
292#440—42no—
293C4×D8—42no—
294C4×D8—42no—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×#103—42no—
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#102—42no—
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350C2×C4×C8C2311yescharacteristic
351#399—21no—
352#399—21no—
353#399—21no—
354#399—21no—
355#399—21no—
356#398—21no—
357#398—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#396—21no—
374#396—21no—
375#396—21no—
376#395—21no—
377#395—21no—
378#395—21no—
379#395—21no—
380#394—21no—
381#394—21no—
382#393—21no—
383#393—21no—
384#393—21no—
385#393—21no—
386#393—21no—
387#391—21no—
388#391—21no—
389#391—21no—
390#391D411yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
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#389D411yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
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#387—21no—
430#387D411yescharacteristic
431#387D411yescharacteristic
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385D411yescharacteristic
450#385D411yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#381—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380D411yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466#379—21no—
467#379—21no—
468#379—21no—
469#379—21no—
470C4×C4⋊C4—21no—
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
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
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506C25—21no—
507C25—21no—
508C22×Q8—21no—
509C22×Q8—21no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8—22no—
513C22×Q8—22no—
514C22×Q8—22no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8C2×D411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×Q8C2411yescharacteristic
522C22×D4—22no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4#4114yes—
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C22×D4C2411yescharacteristic
540C23×C4—21no—
541C23×C4—21no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4C2×D411yescharacteristic
549C23×C4C2×D411yescharacteristic
550C23×C4C2411yescharacteristic
551C2×SD16—22no—
552C2×SD16—22no—
553C2×SD16—22no—
554C2×SD16—22no—
555C2×SD16—22no—
556C2×SD16—22no—
557C2×SD16—22no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—41no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—416no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—22no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—416no—
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—22no—
598C4⋊Q8—41no—
599C4⋊Q8—41no—
600C4⋊Q8—41no—
601C4⋊Q8—41no—
602C4⋊Q8—41no—
603C4⋊Q8—41no—
604C4⋊Q8—41no—
605C4⋊Q8—41no—
606C4⋊Q8—41no—
607#126—44no—
608#126—44no—
609#124—22no—
610#124—22no—
611#124—22no—
612#124—22no—
613#124—22no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—41no—
620#124—41no—
621#124—44no—
622#124—44no—
623C22⋊Q8—24no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—44no—
627C22⋊Q8—44no—
628C22⋊Q8—44no—
629C22⋊Q8—44no—
630C22⋊Q8—44no—
631C22⋊Q8—44no—
632C22⋊Q8—44no—
633C22⋊Q8—44no—
634C22⋊Q8—44no—
635C22⋊Q8—44no—
636C22⋊Q8—44no—
637C22⋊Q8—44no—
638C22⋊Q8—82no—
639C22⋊Q8—82no—
640C4×Q8—22no—
641C4×Q8—41no—
642C4×Q8—41no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×Q8—41no—
647C4×Q8—41no—
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—41no—
658C4×D4—41no—
659C4×D4—41no—
660#117—44no—
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⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—44no—
753C2×C22⋊C4—44no—
754C2×C22⋊C4—44no—
755C2×C22⋊C4—44no—
756C2×C22⋊C4—44no—
757C2×C22⋊C4—44no—
758C2×C22⋊C4—82no—
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—41no—
768C2×C42—41no—
769C2×C42C2×D411yescharacteristic
770C2×C42C2×D411yescharacteristic
771C2×C42C2411yescharacteristic
772C2×C42C2411yescharacteristic
773C2×C42C2411yescharacteristic
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777#107—22no—
778#107—22no—
779#107—41no—
780#107—41no—
781#107—41no—
782#107—41no—
783C4⋊C8—22no—
784C4⋊C8—22no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787#103—22no—
788#103—22no—
789#103—22no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825#97—22no—
826#97—41no—
827#97—41no—
828#97—41no—
829C4×C8—22no—
830C4×C8—41no—
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#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862C24—21no—
863C24—21no—
864C24—21no—
865C24—24no—
866C24—21no—
867C24—42no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—42no—
872C24—42no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24—81no—
880C24C22×D411yescharacteristic
881C2×Q8—22no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—41no—
900C2×Q8—41no—
901C2×Q8—42no—
902C2×Q8—42no—
903C2×Q8—42no—
904C2×Q8—44no—
905C2×Q8—44no—
906C2×Q8—42no—
907C2×Q8—42no—
908C2×Q8—81no—
909C2×Q8—81no—
910C2×Q8—81no—
911C2×Q8—81no—
912C2×Q8—81no—
913C2×Q8—81no—
914C2×Q8—81no—
915C2×Q8—82no—
916C2×Q8—82no—
917C2×Q8H(5,𝔽2)12yes—
918C2×D4—24no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4C2×#4112yes—
954C2×D4C2×#4112yes—
955C2×D4H(5,𝔽2)12yes—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—41no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—42no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4—81no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4—81no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4C22×D411yescharacteristic
1003C22×C4C22×D411yescharacteristic
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
1006C22×C4C22×D411yescharacteristic
1007C22×C4C22×D411yescharacteristic
1008C22×C4C22×D411yescharacteristic
1009C22×C4C22×D411yescharacteristic
1010C22×C4C22×D411yescharacteristic
1011C22×C4C22×D411yescharacteristic
1012C22×C4C22×D411yescharacteristic
1013C22×C4C22×D411yescharacteristic
1014C22×C4C22×D411yescharacteristic
1015C22×C4C2×#4112yes—
1016C22×C42−1+412yes—
1017C22×C4C2511yescharacteristic
1018SD16—28no—
1019SD16—44no—
1020SD16—44no—
1021SD16—44no—
1022SD16—82no—
1023SD16—82no—
1024D8—28no—
1025D8—44no—
1026D8—44no—
1027D8—44no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—44no—
1051C2×C8—44no—
1052C2×C8H(5,𝔽2)12yes—
1053C2×C8H(5,𝔽2)12yes—
1054C4⋊C4—22no—
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—41no—
1081C4⋊C4—42no—
1082C4⋊C4—42no—
1083C4⋊C4—42no—
1084C4⋊C4—42no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—42no—
1095C4⋊C4—42no—
1096C4⋊C4—81no—
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—
1106C22⋊C4—24no—
1107C22⋊C4—24no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
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⋊C4AGL(1,ℤ/8)14yes—
1156C42—21no—
1157C42—21no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—41no—
1169C42—41no—
1170C42—42no—
1171C42—42no—
1172C42—81no—
1173C42—81no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—48no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—84no—
1208C23—84no—
1209C23—84no—
1210C23—84no—
1211C23—84no—
1212C23—84no—
1213C23—162no—
1214C23—162no—
1215C23—162no—
1216C23—162no—
1217C23—162no—
1218C23—162no—
1219C23—162no—
1220C23#54812yes—
1221C23C2×AGL(1,ℤ/8)12yes—
1222C23#57812yes—
1223C23C23×D411yescharacteristic
1224Q8—22no—
1225Q8—22no—
1226Q8—41no—
1227Q8—41no—
1228Q8—41no—
1229Q8—41no—
1230Q8—41no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—82no—
1237Q8—84no—
1238Q8—162no—
1239Q8—162no—
1240Q8—162no—
1241D4—22no—
1242D4—22no—
1243D4—22no—
1244D4—22no—
1245D4—22no—
1246D4—22no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—84no—
1258D4—84no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—22no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—84no—
1336C2×C4—82no—
1337C2×C4—82no—
1338C2×C4—84no—
1339C2×C4—162no—
1340C2×C4—162no—
1341C2×C4—162no—
1342C2×C4—162no—
1343C2×C4—162no—
1344C2×C4—162no—
1345C2×C4#54812yes—
1346C2×C4C2×AGL(1,ℤ/8)12yes—
1347C2×C4C2×AGL(1,ℤ/8)12yes—
1348C2×C4C22×#4111yescharacteristic
1349C2×C4C2×H(5,𝔽2)11yescharacteristic
1350C2×C4C2×H(5,𝔽2)11yescharacteristic
1351C2×C4C2×H(5,𝔽2)11yescharacteristic
1352C2×C4C2×H(5,𝔽2)11yescharacteristic
1353C2×C4C2×2−1+411yescharacteristic
1354C8—22no—
1355C8—22no—
1356C8—41no—
1357C8—41no—
1358C8—41no—
1359C8—41no—
1360C8—41no—
1361C8—41no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—168no—
1397C22—168no—
1398C22#336714yes—
1399C22C2×#54811yescharacteristic
1400C22#348411yescharacteristic
1401C22#349811yescharacteristic
1402C22C22×AGL(1,ℤ/8)11yescharacteristic
1403C22C2×#57811yescharacteristic
1404C22#358411yescharacteristic
1405C22#358511yescharacteristic
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—42no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4#349011yescharacteristic
1432C4#349011yescharacteristic
1433C4#353611yescharacteristic
1434C4#353611yescharacteristic
1435C2—24no—
1436C2—82no—
1437C2—82no—
1438C2—82no—
1439C2—161no—
1440C2#4300211yescharacteristic
1441C2C2×#336711yescharacteristic
1442C2#6134311yescharacteristic
1443C2#6159811yescharacteristic
1444C2#6161911yescharacteristic
1445C2#6243711yescharacteristic
1446C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×C22⋊Q8 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59148C2semidirect
2. #39367C2semidirect
3. #32612C2semidirect
4. #32605C2semidirect
5. #31656C2semidirect
6. #31654C2semidirect
7. #30902C2semidirect
8. #30902C2semidirect
9. #30899C2semidirect
10. #30879C2semidirect
11. #29160C2semidirect
12. #28426C2semidirect
13. #28414C2semidirect
14. #27262C2semidirect
15. #27258C2semidirect
16. #26916C2semidirect
17. #26890C2semidirect
18. #26844C2semidirect
19. #26826C2semidirect
20. #25963C2semidirect
21. #25950C2semidirect
22. #25864C2semidirect
23. #24358C2semidirect
25. #24205C2semidirect
26. #24185C2semidirect
28. #23238C2semidirect
30. #22437C2semidirect
31. #22049C2semidirect
34. C2×#556C22semidirect
37. C2×#489C22semidirect
38. C2×#489C22semidirect
39. C2×#489C22semidirect
40. C2×#487C22semidirect
41. C2×#477C22semidirect
42. C2×#474C22semidirect
45. C2×#461C22semidirect
46. C2×#461C22semidirect
48. C2×#440C22semidirect
49. C2×#440C22semidirect
62. #2592C22semidirect
63. #2547C22semidirect
64. #2545C22semidirect
65. #2545C22semidirect
66. #2542C22semidirect
67. #2542C22semidirect
68. #2538C22semidirect
69. #2538C22semidirect
74. #2452C22semidirect
75. #2452C22semidirect
76. #2452C22semidirect
77. #2452C22semidirect
78. #2448C22semidirect
79. #2447C22semidirect
87. #2367C22semidirect
96. #2100C22semidirect
97. #2095C22semidirect
98. #2095C22semidirect
99. #2093C22semidirect
100. #2072C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
104. #2067C22semidirect
105. #2067C22semidirect
106. #2057C22semidirect
107. #2055C22semidirect
108. #2055C22semidirect
111. #2043C22semidirect
112. #2043C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
119. #2024C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2013C22semidirect
125. #2013C22semidirect
136. #1985C22semidirect
137. #1984C22semidirect
138. #1973C22semidirect
139. #1973C22semidirect
140. #1973C22semidirect
141. #1973C22semidirect
144. #1959C22semidirect
145. #1959C22semidirect
146. #1959C22semidirect
147. #1956C22semidirect
148. #1936C22semidirect
149. #1936C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
152. #1933C22semidirect
153. #1933C22semidirect
154. #1925C22semidirect
155. #1925C22semidirect
156. #1921C22semidirect
157. #1921C22semidirect
158. #1917C22semidirect
159. #1917C22semidirect
160. #1917C22semidirect
161. #1916C22semidirect
164. #1880C22semidirect
165. #1880C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
179. #1863C22semidirect
180. #1863C22semidirect
181. #1863C22semidirect
182. #1863C22semidirect
183. #1862C22semidirect
184. #1862C22semidirect
190. #1803C22semidirect
191. #1802C22semidirect
197. #1771C22semidirect
198. #1770C22semidirect

Maximal subgroups

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

subgroupindex
#591482
#393672
#326122
#326052
#316562
#316542
#309022
#308992
#308792
#291602
#284262
#284142
#272622
#272582
#269162
#268902
#268442
#268262
#259632
#259502
#258642
#243582
#243552
#242052
#241852
C2×#20122
#232382
C22⋊C4×D82
#224372
#220492