Finite Group Databasebeta

← #6489587

Subgroups — #6489587

Order 512.

2849 conjugacy classes of subgroups.

The subgroup lattice has 1487 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3458C211yesmaximal, characteristic, complemented
2C2×#3244C211yesmaximal, characteristic, complemented
3C2×#3243C211yesmaximal, characteristic, complemented
4#35260C211yesmaximal, characteristic
5#32985C211yesmaximal, characteristic, complemented
6#32984C211yesmaximal, characteristic, complemented
7#32981C211yesmaximal, characteristic
8#32980C211yesmaximal, characteristic
9#29649C211yesmaximal, characteristic, complemented
10#29648C211yesmaximal, characteristic, complemented
11#29647C211yesmaximal, characteristic, complemented
12#29646C211yesmaximal, characteristic, complemented
13#25916C211yesmaximal, characteristic, complemented
14#25916C211yesmaximal, characteristic, complemented
15#25909C211yesmaximal, characteristic, complemented
16#25906C211yesmaximal, characteristic, complemented
17#25821C211yesmaximal, characteristic, complemented
18#25820C211yesmaximal, characteristic, complemented
19#25818C211yesmaximal, characteristic, complemented
20#25812C211yesmaximal, characteristic, complemented
21#24311C211yesmaximal, characteristic, complemented
22#24310C211yesmaximal, characteristic, complemented
23#24309C211yesmaximal, characteristic, complemented
24#24308C211yesmaximal, characteristic, complemented
25#24306C211yesmaximal, characteristic, complemented
26#24304C211yesmaximal, characteristic, complemented
27#24303C211yesmaximal, characteristic, complemented
28#24300C211yesmaximal, characteristic, complemented
29#21843C211yesmaximal, characteristic, complemented
30#21843C211yesmaximal, characteristic, complemented
31#20716C211yesmaximal, characteristic, complemented
32#3458—28no—
33#3458—28no—
34C2×#544—21no—
35C2×#544—21no—
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#544C2211yescharacteristic
41C2×#544C2211yescharacteristic
42C2×#544C2211yescharacteristic
43C2×#544C2211yescharacteristic
44C2×#543—21no—
45C2×#543—21no—
46C2×#542C2211yescharacteristic
47C2×#533—21no—
48C2×#533—21no—
49C2×#533—21no—
50C2×#533—21no—
51C2×#533C2211yescharacteristic
52C2×#533C2211yescharacteristic
53C2×#533C2211yescharacteristic
54C2×#533C2211yescharacteristic
55C22×#117C2211yescharacteristic
56C22×#117C2211yescharacteristic
57C22×#117C2211yescharacteristic
58#3244—28no—
59#3243—28no—
60C2×#501C2211yescharacteristic, complemented
61C2×#501C2211yescharacteristic, complemented
62C2×#500C2211yescharacteristic, complemented
63C2×#498C2211yescharacteristic, complemented
64C2×#489C2211yescharacteristic, complemented
65C2×#489C2211yescharacteristic, complemented
66C2×#488C2211yescharacteristic, complemented
67C2×#488C2211yescharacteristic, complemented
68C2×#484C2211yescharacteristic
69C2×#481C2211yescharacteristic
70C2×#485C2211yescharacteristic
71C2×#485C2211yescharacteristic
72C2×#482C2211yescharacteristic
73C2×#482C2211yescharacteristic
74C2×#483C2211yescharacteristic
75C2×#480C2211yescharacteristic
76C2×#479C2211yescharacteristic, complemented
77C2×#479C2211yescharacteristic, complemented
78C2×#477C2211yescharacteristic, complemented
79C2×#475C2211yescharacteristic, complemented
80C2×#478C2211yescharacteristic, complemented
81C2×#478C2211yescharacteristic, complemented
82C2×#476C2211yescharacteristic, complemented
83C2×#474C2211yescharacteristic, complemented
84C2×#433C2211yescharacteristic
85C2×#433C2211yescharacteristic
86#2857C2211yescharacteristic
87#2850C2211yescharacteristic
88#2848C2211yescharacteristic
89#2847C2211yescharacteristic
90#2628C2211yescharacteristic
91#2625C2211yescharacteristic
92#2624C2211yescharacteristic
93#2620C2211yescharacteristic
94#2481—21no—
95#2479—21no—
96#2477—21no—
97#2474—21no—
98#2472—21no—
99#2470—21no—
100#2449—21no—
101#2418—21no—
102#2324C2211yescharacteristic
103#2323C2211yescharacteristic
104#2314C2211yescharacteristic
105C4×C22⋊Q8C2211yescharacteristic
106C4×#121C2211yescharacteristic
107#2059C2211yescharacteristic, complemented
108#2059C2211yescharacteristic, complemented
109#2059C2211yescharacteristic, complemented
110#2059C2211yescharacteristic, complemented
111#2059C2211yescharacteristic, complemented
112#2059C2211yescharacteristic, complemented
113#2059C2211yescharacteristic, complemented
114#2059C2211yescharacteristic, complemented
115#2058C2211yescharacteristic, complemented
116#2058C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2058C2211yescharacteristic, complemented
119#2057C2211yescharacteristic, complemented
120#2057C2211yescharacteristic, complemented
121#2057C2211yescharacteristic, complemented
122#2057C2211yescharacteristic, complemented
123#2026C2211yescharacteristic, complemented
124#2026C2211yescharacteristic, complemented
125#2026C2211yescharacteristic, complemented
126#2026C2211yescharacteristic, complemented
127#2025C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2025C2211yescharacteristic, complemented
131#2024C2211yescharacteristic, complemented
132#2024C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2024C2211yescharacteristic, complemented
135#2023C2211yescharacteristic, complemented
136#2023C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2023C2211yescharacteristic, complemented
139#1993C2211yescharacteristic, complemented
140#1993C2211yescharacteristic, complemented
141#1992C2211yescharacteristic, complemented
142#1992C2211yescharacteristic, complemented
143#1991C2211yescharacteristic, complemented
144#1991C2211yescharacteristic, complemented
145#1990C2211yescharacteristic, complemented
146#1990C2211yescharacteristic, complemented
147#1989C2211yescharacteristic, complemented
148#1989C2211yescharacteristic, complemented
149#1989C2211yescharacteristic, complemented
150#1989C2211yescharacteristic, complemented
151#1988C2211yescharacteristic, complemented
152#1988C2211yescharacteristic, complemented
153#1987C2211yescharacteristic, complemented
154#1987C2211yescharacteristic, complemented
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic
157#1875C2211yescharacteristic
158#1875C2211yescharacteristic
159#1875C2211yescharacteristic
160#1875C2211yescharacteristic
161#1874C2211yescharacteristic
162#1874C2211yescharacteristic
163#1873C2211yescharacteristic
164#1873C2211yescharacteristic
165#1873C2211yescharacteristic
166#1873C2211yescharacteristic
167#1873C2211yescharacteristic
168#1873C2211yescharacteristic
169#1872C2211yescharacteristic
170#1872C2211yescharacteristic
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic
174#1854C2211yescharacteristic
175#1854C2211yescharacteristic
176#1854C2211yescharacteristic
177#1854C2211yescharacteristic
178#1854C2211yescharacteristic
179#1854C2211yescharacteristic
180#1854C2211yescharacteristic
181#1854C2211yescharacteristic
182#1854C2211yescharacteristic
183#1853C2211yescharacteristic
184#1853C2211yescharacteristic
185#1852C2211yescharacteristic
186#1852C2211yescharacteristic
187#1825C2211yescharacteristic
188#1825C2211yescharacteristic
189#1825C2211yescharacteristic
190#1825C2211yescharacteristic
191#1824C2211yescharacteristic
192#1824C2211yescharacteristic
193#1823C2211yescharacteristic
194#1823C2211yescharacteristic
195#1818C2211yescharacteristic
196#1818C2211yescharacteristic
197#1798C2211yescharacteristic
198#1798C2211yescharacteristic
199#1797C2211yescharacteristic
200#1797C2211yescharacteristic
201#1779C2211yescharacteristic
202#1779C2211yescharacteristic
203#1750C2211yescharacteristic
204#1750C2211yescharacteristic
205#1749C2211yescharacteristic
206C4×C22⋊C8C2211yescharacteristic
207C24×C4C2311yescharacteristic
208#544—216no—
209#544—216no—
210#544—24no—
211#544—24no—
212#544—24no—
213#544—24no—
214#544—24no—
215#544—24no—
216#544—24no—
217#544—24no—
218#544—24no—
219#544—24no—
220#544—24no—
221#544—24no—
222#544—24no—
223#544—24no—
224#544D418yescomplemented
225#544D418yescomplemented
226#543—216no—
227#543—216no—
228#542—24no—
229#542—24no—
230#533—216no—
231#533—216no—
232#533—216no—
233#533—216no—
234#533—24no—
235#533—24no—
236#533—24no—
237#533—24no—
238#533—24no—
239#533—24no—
240#533—24no—
241#533—24no—
242C2×C4⋊Q8—21no—
243C2×C4⋊Q8—21no—
244C2×C4⋊Q8—21no—
245C2×C4⋊Q8—21no—
246C2×C4⋊Q8—21no—
247C2×C4⋊Q8—21no—
248C2×C4⋊Q8—21no—
249C2×C4⋊Q8—21no—
250C2×C4⋊Q8C2311yescharacteristic
251C2×C4⋊Q8C2311yescharacteristic
252C2×C4⋊Q8C2311yescharacteristic
253C2×C4⋊Q8C2311yescharacteristic
254C2×C4⋊Q8C2311yescharacteristic
255C2×C4⋊Q8C2311yescharacteristic
256C2×C4⋊Q8C2311yescharacteristic
257C2×C4⋊Q8C2311yescharacteristic
258C2×C4⋊Q8C2311yescharacteristic
259C2×#126—21no—
260C2×#125—21no—
261C2×#125—21no—
262C2×#125—21no—
263C2×#125—21no—
264C2×#125—21no—
265C2×#125—21no—
266C2×#125—21no—
267C2×#125—21no—
268C2×#125C2311yescharacteristic
269C2×#125C2311yescharacteristic
270C2×#125C2311yescharacteristic
271C2×#125C2311yescharacteristic
272C2×#125C2311yescharacteristic
273C2×#125C2311yescharacteristic
274C2×#125C2311yescharacteristic
275C2×#125C2311yescharacteristic
276C2×#124—21no—
277C2×#124C2311yescharacteristic
278C2×#123—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8—21no—
289C2×C22⋊Q8—21no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#121C2311yescharacteristic
311C2×#120—21no—
312C2×C4×Q8—21no—
313C2×C4×Q8—21no—
314C2×C4×Q8—21no—
315C2×C4×Q8—21no—
316C2×C4×Q8—21no—
317C2×C4×Q8—21no—
318C2×C4×Q8—21no—
319C2×C4×Q8—21no—
320C2×C4×Q8C2311yescharacteristic
321C2×C4×D4—21no—
322C2×C4×D4C2311yescharacteristic
323C2×#117—21no—
324C2×#117—21no—
325C2×#117—21no—
326C2×#117—21no—
327C2×#117—24no—
328C2×#117—24no—
329C2×#117—24no—
330C2×#117—24no—
331C2×#117—24no—
332C2×#117—24no—
333C2×#117D411yescharacteristic
334C2×#117D411yescharacteristic
335C2×#117D411yescharacteristic
336C2×#117D411yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C22×C4⋊C4D411yescharacteristic
350C22×C4⋊C4D411yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C22⋊C4—21no—
356C22×C22⋊C4—21no—
357C22×C22⋊C4D411yescharacteristic
358C22×C22⋊C4D411yescharacteristic
359C22×C42—21no—
360C22×C42—21no—
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#501—24no—
364#501—24no—
365#500—24no—
366#498—24no—
367#489—24no—
368#489—24no—
369#488—24no—
370#488—24no—
371#485—24no—
372#485—24no—
373#484—24no—
374#483—24no—
375#482—24no—
376#482—24no—
377#481—24no—
378#480—24no—
379#479—24no—
380#479—24no—
381#478—24no—
382#478—24no—
383#477—24no—
384#476—24no—
385#475—24no—
386#474—24no—
387#433—24no—
388#433—24no—
389C2×#107C2311yescharacteristic
390C2×#107C2311yescharacteristic
391C2×#107C2311yescharacteristic
392C2×#107C2311yescharacteristic
393C2×#107C2311yescharacteristic
394C2×#107C2311yescharacteristic
395C2×#107C2311yescharacteristic
396C2×#107C2311yescharacteristic
397C2×#106C2311yescharacteristic
398C2×#106C2311yescharacteristic
399C2×#106C2311yescharacteristic
400C2×#106C2311yescharacteristic
401C2×#106C2311yescharacteristic
402C2×#106C2311yescharacteristic
403C2×#106C2311yescharacteristic
404C2×#106C2311yescharacteristic
405C2×C4⋊C8C2311yescharacteristic
406C2×C4⋊C8C2311yescharacteristic
407C2×C4⋊C8C2311yescharacteristic
408C2×C4⋊C8C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×#97C2311yescharacteristic
438C2×#97C2311yescharacteristic
439C2×C4×C8C2311yescharacteristic
440C2×C4×C8C2311yescharacteristic
441#400—21no—
442#400—21no—
443#399—21no—
444#399—21no—
445#398—21no—
446#397—21no—
447#397—21no—
448#397—21no—
449#396—21no—
450#396—21no—
451#395—21no—
452#394—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#393—21no—
457#391—21no—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#390—21no—
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#389—21no—
464#389—21no—
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2311yescharacteristic
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#387—21no—
478#387—21no—
479#387—21no—
480#387—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#384C2311yescharacteristic
494#382C2311yescharacteristic
495#380—21no—
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#379—21no—
503C4×C4⋊C4—21no—
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C22⋊C4—21no—
507C4×C22⋊C4—21no—
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536#340C2311yescharacteristic
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#336C2311yescharacteristic
541#336C2311yescharacteristic
542#336C2311yescharacteristic
543#336C2311yescharacteristic
544#336C2311yescharacteristic
545#336C2311yescharacteristic
546#336C2311yescharacteristic
547#336C2311yescharacteristic
548C25C2×D411yescharacteristic
549C22×Q8—21no—
550C22×Q8—21no—
551C22×Q8—21no—
552C22×Q8—21no—
553C22×Q8—21no—
554C22×Q8—21no—
555C22×Q8—21no—
556C22×Q8—21no—
557C22×Q8—21no—
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4C2411yescharacteristic
563C23×C4—22no—
564C23×C4—22no—
565C23×C4—22no—
566C23×C4—22no—
567C23×C4—22no—
568C23×C4—22no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2×D411yescharacteristic
575C23×C4C2×D411yescharacteristic
576C23×C4C2×D411yescharacteristic
577C23×C4C2×D411yescharacteristic
578C23×C4C2×D411yescharacteristic
579C23×C4C2×D411yescharacteristic
580C23×C4C2×D411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C4⋊Q8—28no—
593C4⋊Q8—28no—
594C4⋊Q8—28no—
595C4⋊Q8—28no—
596C4⋊Q8—28no—
597C4⋊Q8—28no—
598C4⋊Q8—28no—
599C4⋊Q8—28no—
600C4⋊Q8—22no—
601C4⋊Q8—22no—
602C4⋊Q8—22no—
603C4⋊Q8—22no—
604C4⋊Q8—22no—
605C4⋊Q8—22no—
606C4⋊Q8—22no—
607C4⋊Q8—22no—
608C4⋊Q8—22no—
609C4⋊Q8—22no—
610C4⋊Q8—22no—
611C4⋊Q8—22no—
612C4⋊Q8—22no—
613C4⋊Q8—22no—
614C4⋊Q8C2×D414yes—
615C4⋊Q8C2×D414yes—
616C4⋊Q8C2×D414yes—
617C4⋊Q8C2×D414yes—
618#126—44no—
619#125—28no—
620#125—28no—
621#125—28no—
622#125—28no—
623#125—28no—
624#125—28no—
625#125—28no—
626#125—28no—
627#125—22no—
628#125—22no—
629#125—22no—
630#125—22no—
631#125—22no—
632#125—22no—
633#125—22no—
634#125—22no—
635#125—22no—
636#125—22no—
637#125—22no—
638#125—22no—
639#125C2×D414yes—
640#125C2×D414yes—
641#125C2×D414yes—
642#125C2×D414yes—
643#124—22no—
644#124—22no—
645#124—44no—
646#123—44no—
647C22⋊Q8—28no—
648C22⋊Q8—28no—
649C22⋊Q8—28no—
650C22⋊Q8—28no—
651C22⋊Q8—28no—
652C22⋊Q8—28no—
653C22⋊Q8—28no—
654C22⋊Q8—28no—
655C22⋊Q8—28no—
656C22⋊Q8—28no—
657C22⋊Q8—28no—
658C22⋊Q8—28no—
659C22⋊Q8—28no—
660C22⋊Q8—28no—
661C22⋊Q8—28no—
662C22⋊Q8—28no—
663C22⋊Q8—28no—
664C22⋊Q8—28no—
665C22⋊Q8—28no—
666C22⋊Q8—28no—
667C22⋊Q8—28no—
668C22⋊Q8—28no—
669C22⋊Q8—28no—
670C22⋊Q8—28no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—44no—
678C22⋊Q8—82no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#120—82no—
686C4×Q8—28no—
687C4×Q8—28no—
688C4×Q8—28no—
689C4×Q8—28no—
690C4×Q8—28no—
691C4×Q8—28no—
692C4×Q8—28no—
693C4×Q8—28no—
694C4×Q8—22no—
695C4×Q8—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—82no—
699#117—28no—
700#117—28no—
701#117—28no—
702#117—28no—
703#117—22no—
704#117—22no—
705#117—22no—
706#117—22no—
707#117—24no—
708#117—24no—
709#117—22no—
710#117—22no—
711#117—22no—
712#117—22no—
713#117—22no—
714#117—22no—
715#117—22no—
716#117—22no—
717#117—22no—
718#117—22no—
719#117—22no—
720#117—22no—
721#117—24no—
722#117—24no—
723#117—22no—
724#117—22no—
725#117—22no—
726#117—22no—
727#117C2×D414yes—
728#117C2×D414yes—
729#117C2×D414yes—
730#117C2×D414yes—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—22no—
736C2×C4⋊C4—22no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2×D411yescharacteristic
781C2×C4⋊C4C2×D411yescharacteristic
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D414yes—
785C2×C4⋊C4C2×D414yes—
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C22⋊C4—28no—
803C2×C22⋊C4—28no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C42—28no—
842C2×C42—28no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42—21no—
851C2×C42—22no—
852C2×C42—22no—
853C2×C42—22no—
854C2×C42—22no—
855C2×C42—21no—
856C2×C42—21no—
857C2×C42—21no—
858C2×C42C2×D411yescharacteristic
859C2×C42C2×D411yescharacteristic
860C2×C42C2×D411yescharacteristic
861C2×C42C2×D411yescharacteristic
862C2×C42C2411yescharacteristic
863C2×C42C2411yescharacteristic
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866#107—22no—
867#107—22no—
868#107—22no—
869#107—22no—
870#107—22no—
871#107—22no—
872#107—22no—
873#107—22no—
874#106—22no—
875#106—22no—
876#106—22no—
877#106—22no—
878#106—22no—
879#106—22no—
880#106—22no—
881#106—22no—
882C4⋊C8—22no—
883C4⋊C8—22no—
884C4⋊C8—22no—
885C4⋊C8—22no—
886#103—22no—
887#103—22no—
888#103—22no—
889#103—22no—
890#103—22no—
891#103—22no—
892#103—22no—
893#103—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902C22⋊C8—22no—
903C22⋊C8—22no—
904C22⋊C8—22no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—22no—
914#97—22no—
915#97—22no—
916C4×C8—22no—
917C4×C8—22no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—21no—
940C24—41no—
941C24—41no—
942C24—41no—
943C24—41no—
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947C2×Q8—24no—
948C2×Q8—24no—
949C2×Q8—24no—
950C2×Q8—24no—
951C2×Q8—24no—
952C2×Q8—24no—
953C2×Q8—24no—
954C2×Q8—24no—
955C2×Q8—21no—
956C2×Q8—21no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—42no—
962C2×Q8—81no—
963C2×Q8—81no—
964C2×Q8—81no—
965C2×Q8—81no—
966C2×Q8—81no—
967C2×Q8—81no—
968C2×Q8—81no—
969C2×Q8—81no—
970C2×Q8—81no—
971C2×Q8—81no—
972C2×Q8—81no—
973C2×Q8—81no—
974C2×Q8—81no—
975C2×Q8—81no—
976C2×Q8—81no—
977C2×Q8—81no—
978C2×Q8—81no—
979C2×Q8—81no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C22×C4—28no—
996C22×C4—28no—
997C22×C4—28no—
998C22×C4—28no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—24no—
1029C22×C4—24no—
1030C22×C4—24no—
1031C22×C4—24no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—42no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4C22×D411yescharacteristic
1063C22×C4C22×D411yescharacteristic
1064C22×C4C22×D411yescharacteristic
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D412yes—
1072C22×C4C22×D412yes—
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C42−1+412yes—
1076C22×C42−1+412yes—
1077C22×C42−1+412yes—
1078C22×C42−1+412yes—
1079C22×C4C2511yescharacteristic
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C4⋊C4—24no—
1105C4⋊C4—24no—
1106C4⋊C4—24no—
1107C4⋊C4—24no—
1108C4⋊C4—24no—
1109C4⋊C4—24no—
1110C4⋊C4—24no—
1111C4⋊C4—24no—
1112C4⋊C4—24no—
1113C4⋊C4—24no—
1114C4⋊C4—24no—
1115C4⋊C4—24no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—24no—
1125C4⋊C4—24no—
1126C4⋊C4—24no—
1127C4⋊C4—24no—
1128C4⋊C4—24no—
1129C4⋊C4—24no—
1130C4⋊C4—24no—
1131C4⋊C4—24no—
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—24no—
1135C4⋊C4—24no—
1136C4⋊C4—24no—
1137C4⋊C4—24no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C4⋊C4—81no—
1168C4⋊C4—81no—
1169C4⋊C4#12014yes—
1170C4⋊C4#12014yes—
1171C4⋊C4C22×D412yes—
1172C4⋊C4C22×D412yes—
1173C4⋊C4C22×D412yes—
1174C4⋊C4C22×D412yes—
1175C4⋊C4C22×D412yes—
1176C4⋊C4C22×D412yes—
1177C4⋊C4C22×D412yes—
1178C4⋊C4C22×D412yes—
1179C22⋊C4—24no—
1180C22⋊C4—24no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—24no—
1184C22⋊C4—24no—
1185C22⋊C4—24no—
1186C22⋊C4—24no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4#12014yes—
1213C22⋊C4#12014yes—
1214C42—24no—
1215C42—24no—
1216C42—24no—
1217C42—24no—
1218C42—24no—
1219C42—24no—
1220C42—24no—
1221C42—24no—
1222C42—22no—
1223C42—22no—
1224C42—22no—
1225C42—22no—
1226C42—21no—
1227C42—21no—
1228C42—21no—
1229C42—21no—
1230C42—42no—
1231C42—81no—
1232C42—81no—
1233C42C22×D412yes—
1234C42C22×D412yes—
1235C42C22×D412yes—
1236C42C22×D412yes—
1237C23—28no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—82no—
1264C23—82no—
1265C23—82no—
1266C23—82no—
1267C23—82no—
1268C23—82no—
1269C23C2×#12012yes—
1270C23#53612yes—
1271C23#53612yes—
1272C23C23×D411yescharacteristic
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—84no—
1278Q8—84no—
1279Q8—84no—
1280Q8—84no—
1281Q8—84no—
1282Q8—84no—
1283Q8—84no—
1284Q8—84no—
1285Q8—162no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—84no—
1291D4—162no—
1292D4—162no—
1293C2×C4—28no—
1294C2×C4—28no—
1295C2×C4—28no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
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—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4—84no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—162no—
1388C2×C4C2×#12012yes—
1389C2×C4C2×#12012yes—
1390C2×C4C2×#12012yes—
1391C2×C4C2×#12012yes—
1392C2×C4C2×#12012yes—
1393C2×C4#53612yes—
1394C2×C4#53612yes—
1395C2×C4C23×D411yescharacteristic
1396C2×C4C23×D411yescharacteristic
1397C2×C4C2×2−1+411yescharacteristic
1398C2×C4C2×2−1+411yescharacteristic
1399C2×C4C2×2−1+411yescharacteristic
1400C2×C4C2×2−1+411yescharacteristic
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C8—41no—
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—88no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22C22×#12011yescharacteristic
1439C22C2×#53611yescharacteristic
1440C22C2×#53611yescharacteristic
1441C22#358411yescharacteristic
1442C22#358411yescharacteristic
1443C22#358511yescharacteristic
1444C22#358611yescharacteristic
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—41no—
1453C4—41no—
1454C4—42no—
1455C4—42no—
1456C4—42no—
1457C4—42no—
1458C4—41no—
1459C4—41no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—42no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4#348611yescharacteristic
1472C4#348611yescharacteristic
1473C4#348611yescharacteristic
1474C4#348611yescharacteristic
1475C2—42no—
1476C2—42no—
1477C2—42no—
1478C2—161no—
1479C2#3524211yescharacteristic
1480C2#6037611yescharacteristic
1481C2#6037711yescharacteristic
1482C2#6085911yescharacteristic
1483C2#6087011yescharacteristic
1484C2#6087511yescharacteristic
1485C2#6087611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2847C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3458C2semidirect
2. C2×#3244C2semidirect
3. C2×#3243C2semidirect
5. #32985C2semidirect
6. #32984C2semidirect
9. #29649C2semidirect
10. #29648C2semidirect
11. #29647C2semidirect
12. #29646C2semidirect
13. #25916C2semidirect
14. #25916C2semidirect
15. #25909C2semidirect
16. #25906C2semidirect
17. #25821C2semidirect
18. #25820C2semidirect
19. #25818C2semidirect
20. #25812C2semidirect
21. #24311C2semidirect
22. #24310C2semidirect
23. #24309C2semidirect
24. #24308C2semidirect
25. #24306C2semidirect
26. #24304C2semidirect
27. #24303C2semidirect
28. #24300C2semidirect
29. #21843C2semidirect
30. #21843C2semidirect
31. #20716C2semidirect
60. C2×#501C22semidirect
61. C2×#501C22semidirect
62. C2×#500C22semidirect
63. C2×#498C22semidirect
64. C2×#489C22semidirect
65. C2×#489C22semidirect
66. C2×#488C22semidirect
67. C2×#488C22semidirect
76. C2×#479C22semidirect
77. C2×#479C22semidirect
78. C2×#477C22semidirect
79. C2×#475C22semidirect
80. C2×#478C22semidirect
81. C2×#478C22semidirect
82. C2×#476C22semidirect
83. C2×#474C22semidirect
107. #2059C22semidirect
108. #2059C22semidirect
109. #2059C22semidirect
110. #2059C22semidirect
111. #2059C22semidirect
112. #2059C22semidirect
113. #2059C22semidirect
114. #2059C22semidirect
115. #2058C22semidirect
116. #2058C22semidirect
117. #2058C22semidirect
118. #2058C22semidirect
119. #2057C22semidirect
120. #2057C22semidirect
121. #2057C22semidirect
122. #2057C22semidirect
123. #2026C22semidirect
124. #2026C22semidirect
125. #2026C22semidirect
126. #2026C22semidirect
127. #2025C22semidirect
128. #2025C22semidirect
129. #2025C22semidirect
130. #2025C22semidirect
131. #2024C22semidirect
132. #2024C22semidirect
133. #2024C22semidirect
134. #2024C22semidirect
135. #2023C22semidirect
136. #2023C22semidirect
137. #2023C22semidirect
138. #2023C22semidirect
139. #1993C22semidirect
140. #1993C22semidirect
141. #1992C22semidirect
142. #1992C22semidirect
143. #1991C22semidirect
144. #1991C22semidirect
145. #1990C22semidirect
146. #1990C22semidirect
147. #1989C22semidirect
148. #1989C22semidirect
149. #1989C22semidirect
150. #1989C22semidirect
151. #1988C22semidirect
152. #1988C22semidirect
153. #1987C22semidirect
154. #1987C22semidirect
224. #544D4semidirect
225. #544D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34582
C2×#32442
C2×#32432
#352602
#329852
#329842
#329812
#329802
#296492
#296482
#296472
#296462
#259162
#259092
#259062
#258212
#258202
#258182
#258122
#243112
#243102
#243092
#243082
#243062
#243042
#243032
#243002
#218432
#207162