Finite Group Databasebeta

← C2×#72213016 #72215475

Subgroups — C2×#72213016 #72215475

Order 2048.

16592 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#110276C212yesmaximal, complemented
2C2×#6373967C211yesmaximal, characteristic
3C2×#182359C214yesmaximal, complemented
4#72213016C2116yesmaximal, direct product factor
5C2×#183351C211yesmaximal, characteristic, complemented
6C2×#206367C212yesmaximal
7C2×#109018C212yesmaximal, complemented
8C2×#353159C211yesmaximal, characteristic, complemented
9C2×#110273C212yesmaximal, complemented
10C2×#60673C2211yescharacteristic
11C2×#60204C2212yes—
12#6373967—24no—
13#6373967—24no—
14#6373967C418yescomplemented
15#6373967C2218yes—
16C2×#21734C412yescomplemented
17C2×#21706C412yescomplemented
18C2×#21660C414yescomplemented
19C2×#21546—24no—
20C2×#21415C2214yes—
21C2×#21415C2212yes—
22C2×#21293—22no—
23C2×#20826C2211yescharacteristic
24C2×C4×#444—22no—
25C22×#1744C2212yes—
26C22×#1744C2212yes—
27C22×C4×#97C2211yescharacteristic
28C22×C4×#97C2211yescharacteristic
29C2×#17793C2212yes—
30C2×#17473C2214yes—
31C2×#17323C2212yes—
32C2×C44C2211yescharacteristic
33#353159—24no—
34#353159C2218yescomplemented
35C2×#10693—24no—
36#206367C4116yescomplemented
37#206367C22116yes—
38C2×#9854C418yescomplemented
39C2×#9853C414yescomplemented
40C2×#9852C414yescomplemented
41#183351—24no—
42#183351C2218yescomplemented
43C2×#8269—22no—
44C2×#8268—22no—
45#182359—216no—
46#182359C22132yescomplemented
47C2×#8197—28no—
48C2×#8193—28no—
49C2×#7885C2214yes—
50C2×#7867C2212yes—
51C2×#7867C2214yes—
52#110276C22116yescomplemented
53#110273C22116yescomplemented
54#109018C22116yescomplemented
55C2×#3444C2312yes—
56#60673—22no—
57#60673—22no—
58#60673—24no—
59#60673C2×C418yes—
60#60673C2×C414yes—
61#60673C2314yes—
62C2×#3170C2×C412yes—
63C2×#3169C2×C412yes—
64C2×#3168—24no—
65C2×#3167C2×C414yes—
66C2×#3160C2×C411yescharacteristic
67C2×#3147C2×C411yescharacteristic
68C2×#3131C2×C412yes—
69C2×#3050—22no—
70#60204—24no—
71#60204—24no—
72#60204—28no—
73#60204—28no—
74#60204C2×C418yes—
75#60204C2318yes—
76C2×#2966—28no—
77C2×#2965—24no—
78C2×C8×#41—24no—
79C2×#2960C2×C414yes—
80C22×#444—24no—
81C2×C4×#135—22no—
82C2×#2931C2×C414yes—
83C2×#2929—24no—
84C2×#2922—22no—
85C2×#2920C2314yes—
86C2×#2920C2312yes—
87C2×C4×#131—22no—
88C23×#97—22no—
89C23×#97D414yes—
90C23×C4×C8C2312yes—
91C23×C4×C8C2311yescharacteristic
92C23×C4×C8C2311yescharacteristic
93C22×C43—22no—
94C22×C43—24no—
95C22×C43C2311yescharacteristic
96C22×C43C2312yes—
97#21734—28no—
98#21734C2×C4116yescomplemented
99#21706—28no—
100#21706C2×C4116yescomplemented
101#21660—216no—
102#21660C2×C4132yescomplemented
103#21546—232no—
104#21546—232no—
105#21415—24no—
106#21415—24no—
107#21415—28no—
108#21415—28no—
109#21415C2×C4116yes—
110#21415C2×C418yes—
111#21415C23116yes—
112#21415C2318yes—
113C2×#1994C2×C418yes—
114C2×#1994C2×C414yes—
115#21293—216no—
116#21293—216no—
117C2×#1975—24no—
118C2×#1962C2×C418yes—
119C2×#1962C2×C414yes—
120C2×#1946—24no—
121C2×#1938—28no—
122C2×#1896—24no—
123C2×#1896—28no—
124#20826—22no—
125#20826—22no—
126#20826C2×C414yes—
127#20826C2314yes—
128C2×#1848C2×C412yes—
129C2×#1837C2×C412yes—
130C2×#1810—22no—
131C4×#444—216no—
132C4×#444—216no—
133C2×C4×#108—22no—
134C2×#1773—24no—
135C2×#1765—28no—
136C2×C4×#104—24no—
137C2×C4×#104—28no—
138C2×#1744—24no—
139C2×#1744—24no—
140C2×#1744—24no—
141C2×#1744—24no—
142C2×#1744—24no—
143C2×#1744—24no—
144C2×#1744C2×C414yes—
145C2×#1744C2×C414yes—
146C2×#1744C2×C418yes—
147C2×#1744D418yes—
148C2×#1744D418yes—
149C2×#1744C2318yes—
150C2×#1744C2318yes—
151C22×#336—24no—
152C22×#336—24no—
153C2×C4×#97—22no—
154C2×C4×#97—24no—
155C2×C4×#97—24no—
156C2×C4×#97C2×C414yes—
157C2×C4×#97C2×C412yes—
158C2×C4×#97C2×C412yes—
159C2×C4×#97D412yes—
160C2×C4×#97D412yes—
161C2×C4×#97D414yes—
162C2×C4×#97D414yes—
163C2×C4×#97C2314yes—
164C2×C4×#97C2314yes—
165#17793—24no—
166#17793—24no—
167#17793C2×C418yes—
168#17793C2318yes—
169C2×#1568—24no—
170C2×#1567C2×C414yes—
171C2×#1566C2×C414yes—
172C2×#1564—24no—
173#17473—28no—
174#17473—28no—
175#17473C2×C4116yes—
176#17473C23116yes—
177C2×#1494—28no—
178C2×#1493C2×C418yes—
179C2×#1492C2×C418yes—
180C2×#1476—28no—
181#17323—28no—
182#17323—24no—
183#17323C2318yes—
184C2×#1452—22no—
185C2×#1451—24no—
186C2×#1450—22no—
187C2×C8×M16—24no—
188C44—22no—
189C44—24no—
190C44C2314yes—
191#10693—232no—
192#9854C2×C4164yescomplemented
193#9853C2×C4132yescomplemented
194#9852C2×C4132yescomplemented
195#8269—216no—
196#8268—216no—
197#8197—264no—
198#8193—264no—
199#7885—28no—
200#7885C23116yes—
201C2×#1278—28no—
202#7867—24no—
203#7867—28no—
204#7867C2318yes—
205#7867C23116yes—
206C2×#1276—24no—
207C2×#1276—28no—
208C22×#135—22no—
209C22×#131—24no—
210C24×C8—22no—
211C24×C8C2×D412yes—
212C24×C8C2×D412yes—
213#3444—22no—
214#3444—22no—
215#3444—24no—
216#3444—24no—
217#3444—24no—
218#3444—24no—
219#3444—24no—
220#3444C22×C414yes—
221#3444C22×C418yes—
222#3444C2414yes—
223C2×#533C22×C414yes—
224C2×#533C22×C412yes—
225C2×#532C22×C414yes—
226C2×#532C22×C412yes—
227C2×#529—24no—
228C2×#529—24no—
229C2×#529—24no—
230C2×#525—22no—
231C2×#525—24no—
232C2×C4×#41—24no—
233C2×C4×#41—22no—
234C23×C42—28no—
235C23×C42—22no—
236C23×C42—22no—
237C23×C42—22no—
238C23×C42C2×D412yes—
239C23×C42#4114yes—
240C23×C42C2411yescharacteristic
241#3170—24no—
242#3170—24no—
243#3170C4218yescomplemented
244#3170C22×C418yes—
245#3169—24no—
246#3169—24no—
247#3169C4218yescomplemented
248#3169C22×C418yes—
249#3168—216no—
250#3168—216no—
251#3168—216no—
252#3168—216no—
253#3167—28no—
254#3167—28no—
255#3167C42116yescomplemented
256#3167C22×C4116yes—
257#3160—22no—
258#3160—22no—
259#3160C4214yescomplemented
260#3160C22×C414yes—
261C2×#500C4212yescomplemented
262C2×#499—22no—
263C2×#498C4212yescomplemented
264#3147—22no—
265#3147—22no—
266#3147C4214yescomplemented
267#3147C22×C414yes—
268C2×#495—22no—
269C2×#494C4211yescharacteristic, complemented
270C2×#493C4211yescharacteristic, complemented
271C2×#492C4212yescomplemented
272#3131—24no—
273#3131—24no—
274#3131C4218yescomplemented
275#3131C22×C418yes—
276C2×#488—24no—
277C2×#487C4214yescomplemented
278C2×#486C4214yescomplemented
279#3050—28no—
280#3050—216no—
281#3050—28no—
282C2×#467—24no—
283C2×#466—24no—
284C2×#465—28no—
285#2966—232no—
286#2966—232no—
287#2966—416no—
288#2966—416no—
289#2965—216no—
290#2965—216no—
291#2965—48no—
292#2965—48no—
293C8×#41—216no—
294C8×#41—216no—
295C8×#41—48no—
296C8×#41—48no—
297#2960—28no—
298#2960—216no—
299#2960C22×C4116yes—
300C2×#446—28no—
301C2×C8×Q8—28no—
302C2×#444—232no—
303C2×#444—432no—
304C4×#135—28no—
305C4×#135—216no—
306C4×#135—28no—
307C2×C4×Q16—24no—
308C2×C4×SD16—28no—
309C2×C4×D8—24no—
310#2931—28no—
311#2931—216no—
312#2931C22×C4116yes—
313#2929—216no—
314#2929—216no—
315#2929—416no—
316C2×#436—28no—
317C2×#435—48no—
318C2×C8×D4—28no—
319C2×C8×D4—48no—
320#2922—28no—
321#2922—28no—
322#2922—44no—
323#2922—44no—
324#2920—22no—
325#2920—22no—
326#2920—24no—
327#2920—24no—
328#2920—24no—
329#2920—24no—
330#2920—24no—
331#2920—24no—
332#2920—24no—
333#2920—24no—
334#2920C22×C414yes—
335#2920C22×C418yes—
336#2920C2414yes—
337#2920C2418yes—
338C2×#433—44no—
339C2×#432—24no—
340C2×#432—24no—
341C2×#432—24no—
342C2×#431—24no—
343C2×#431—24no—
344C2×#431—24no—
345C2×#431—44no—
346C22×#108—24no—
347C2×#427—22no—
348C2×#424—24no—
349C2×#423C22×C414yes—
350C2×#423C22×C418yes—
351C22×#104—28no—
352C22×#104—216no—
353C2×#416—24no—
354C2×#408—24no—
355C2×#407—22no—
356C2×#407—24no—
357C4×#131—28no—
358C4×#131—28no—
359C4×#131—44no—
360C4×#131—44no—
361C2×#405—24no—
362C2×#405—44no—
363C2×C4×M16—22no—
364C2×C4×M16—24no—
365C2×C4×M16—42no—
366C22×#97—28no—
367C22×#97—28no—
368C22×#97—28no—
369C22×#97—416no—
370C22×#97—416no—
371C22×#97C22⋊C414yes—
372C22×#97C22⋊C414yes—
373C22×#97C22⋊C4116yes—
374C22×#97C22⋊C414yes—
375C22×#97C22⋊C414yes—
376C22×#97C2×D4116yes—
377C22×C4×C8—22no—
378C22×C4×C8—22no—
379C22×C4×C8—22no—
380C22×C4×C8—22no—
381C22×C4×C8—22no—
382C22×C4×C8—22no—
383C22×C4×C8—22no—
384C22×C4×C8—42no—
385C22×C4×C8C22×C414yes—
386C22×C4×C8C22×C414yes—
387C22×C4×C8C22×C412yes—
388C22×C4×C8C22×C411yescharacteristic
389C22×C4×C8C22×C411yescharacteristic
390C22×C4×C8C22×C412yes—
391C22×C4×C8C22×C412yes—
392C22×C4×C8C22×C412yes—
393C22×C4×C8C22×C414yes—
394C22×C4×C8C22×C412yes—
395C22×C4×C8C2×D414yes—
396C22×C4×C8C2×D414yes—
397C22×C4×C8C2×D412yes—
398C22×C4×C8C2×D412yes—
399C22×C4×C8C2×D412yes—
400C22×C4×C8C2×D411yescharacteristic
401C22×C4×C8C2×D411yescharacteristic
402C22×C4×C8C2×D414yes—
403C22×C4×C8C2×D414yes—
404C22×C4×C8C2×D412yes—
405C22×C4×C8C2×D412yes—
406C22×C4×C8#4114yes—
407C22×C4×C8#4114yes—
408C22×C4×C8#4114yes—
409C22×C4×C8#4114yes—
410C22×C4×C8#4114yes—
411C22×C4×C8#4114yes—
412C22×C4×C8C2414yes—
413C22×C4×C8C2412yes—
414C22×C4×C8C2412yes—
415C2×C43—22no—
416C2×C43—22no—
417C2×C43—22no—
418C2×C43—22no—
419C2×C43—22no—
420C2×C43—22no—
421C2×C43—22no—
422C2×C43—22no—
423C2×C43—22no—
424C2×C43—216no—
425C2×C43—28no—
426C2×C43—28no—
427C2×C43—216no—
428C2×C43—432no—
429C2×C43—416no—
430C2×C43C22×C412yes—
431C2×C43C22×C412yes—
432C2×C43C22×C414yes—
433C2×C43C22×C414yes—
434C2×C43C2×D412yes—
435C2×C43C2×D412yes—
436C2×C43C2×D412yes—
437C2×C43C2×D414yes—
438C2×C43C2×D414yes—
439C2×C43#4114yes—
440C2×C43C2412yes—
441C2×C43C2414yes—
442#1994—28no—
443#1994—216no—
444#1994C22×C4132yes—
445#1994C22×C4116yes—
446#1975—232no—
447#1962—28no—
448#1962—216no—
449#1962C22×C4132yes—
450#1962C22×C4116yes—
451#1946—232no—
452#1938—264no—
453#1896—216no—
454#1896—232no—
455#1896—216no—
456#1896—232no—
457#1848—24no—
458#1848C22×C418yes—
459#1837—24no—
460#1837C22×C418yes—
461#1810—28no—
462#1810—28no—
463C4×#108—28no—
464C4×#108—28no—
465#1773—232no—
466#1765—264no—
467C4×#104—216no—
468C4×#104—232no—
469C4×#104—232no—
470C4×#104—216no—
471#1744—28no—
472#1744—216no—
473#1744—28no—
474#1744—216no—
475#1744—216no—
476#1744—216no—
477#1744—216no—
478#1744C22×C4116yes—
479#1744C22×C4116yes—
480#1744C2×D4132yes—
481C2×#341—24no—
482C2×#339—28no—
483C2×#339—216no—
484C2×#336—28no—
485C2×#336—28no—
486C2×#336—216no—
487C2×#336—216no—
488C2×#336—216no—
489C2×#336—216no—
490C2×#336—216no—
491C4×#97—216no—
492C4×#97—216no—
493C4×#97C22⋊C418yes—
494C4×#97C22⋊C418yes—
495C4×#97C22⋊C418yes—
496C4×#97C22⋊C418yes—
497C4×#97C22×C418yes—
498C4×#97C22×C418yes—
499C4×#97C2×D418yes—
500C4×#97C2×D418yes—
501#1568—216no—
502#1568—216no—
503#1567—28no—
504#1567C22×C4116yes—
505#1566—28no—
506#1566C22×C4116yes—
507#1564—216no—
508#1564—216no—
509C2×#335—28no—
510C2×#334—28no—
511#1494—232no—
512#1494—232no—
513#1493—216no—
514#1493C22×C4132yes—
515#1492—216no—
516#1492C22×C4132yes—
517#1476—232no—
518#1476—232no—
519C2×Q8⋊C8—216no—
520C2×D4⋊C8—216no—
521#1452—28no—
522#1452—44no—
523#1451—216no—
524#1451—48no—
525#1450—28no—
526#1450—44no—
527C8×M16—216no—
528C8×M16—48no—
529C2×#322—44no—
530C2×#322—42no—
531C2×C82—42no—
532#1278—232no—
533#1276—232no—
534#1276—216no—
535C22×#41—22no—
536C22×#41—24no—
537C24×C4—22no—
538C24×C4—24no—
539C24×C4C22×D411yescharacteristic
540C24×C4C2×#4112yes—
541C2×#135—28no—
542C2×#135—28no—
543C2×#135—416no—
544C22×Q16—22no—
545C22×SD16—24no—
546C22×D8—22no—
547C2×#131—216no—
548C2×#131—432no—
549C2×#131—48no—
550C22×M16—24no—
551C22×M16—28no—
552C22×M16—44no—
553C23×C8—24no—
554C23×C8—24no—
555C23×C8—24no—
556C23×C8—24no—
557C23×C8—24no—
558C23×C8—24no—
559C23×C8—24no—
560C23×C8—48no—
561C23×C8—48no—
562C23×C8—416no—
563C23×C8—44no—
564C23×C8C2×C22⋊C412yes—
565C23×C8C2×C22⋊C412yes—
566C23×C8C2×C22⋊C412yes—
567C23×C8C2×C22⋊C412yes—
568C23×C8C2×C22⋊C414yes—
569C23×C8C2×C22⋊C414yes—
570C23×C8C4×D414yes—
571C23×C8C4×D414yes—
572C23×C8C4×D418yes—
573C23×C8#12118yes—
574C23×C8#12118yes—
575C23×C8C22×D414yes—
576C23×C8C22×D414yes—
577#533—22no—
578#533—22no—
579#533—24no—
580#533—24no—
581#533—24no—
582#533—24no—
583#533—24no—
584#533—24no—
585#533—24no—
586#533—24no—
587#533C2×C4214yes—
588#533C2×C4218yes—
589#533C23×C414yes—
590#533C23×C418yes—
591#532—22no—
592#532—22no—
593#532—24no—
594#532—24no—
595#532—24no—
596#532—24no—
597#532—24no—
598#532—24no—
599#532—24no—
600#532—24no—
601#532C2×C4214yes—
602#532C2×C4218yes—
603#532C23×C414yes—
604#532C23×C418yes—
605C2×C4⋊Q8C2×C4214yes—
606C2×C4⋊Q8C2×C4212yes—
607C2×#127C2×C4212yes—
608#529—28no—
609#529—28no—
610#529—28no—
611#529—28no—
612#529—28no—
613#529—28no—
614#529—28no—
615#529—28no—
616#529—28no—
617#529—28no—
618#529—28no—
619#529—28no—
620#529—44no—
621#529—44no—
622#529—44no—
623#529—44no—
624#529—44no—
625#529—44no—
626#529—44no—
627#529—44no—
628#529—44no—
629#529—44no—
630#529—44no—
631#529—44no—
632C2×#126—44no—
633C2×#125—22no—
634C2×#125—24no—
635C2×#124—22no—
636C2×#124—24no—
637#525—24no—
638#525—28no—
639#525—28no—
640#525—28no—
641#525—28no—
642#525—24no—
643#525—28no—
644#525—44no—
645#525—42no—
646#525—42no—
647#525—44no—
648#525—44no—
649#525—44no—
650#525—44no—
651C2×#123—42no—
652C2×#123—44no—
653C2×C22⋊Q8—24no—
654C2×C22⋊Q8—24no—
655C2×C22⋊Q8—24no—
656C2×#121—24no—
657C2×#121—24no—
658C2×#121—24no—
659C2×#120—42no—
660C4×#41—24no—
661C4×#41—28no—
662C4×#41—28no—
663C4×#41—28no—
664C4×#41—28no—
665C4×#41—24no—
666C4×#41—28no—
667C4×#41—44no—
668C4×#41—42no—
669C4×#41—42no—
670C4×#41—44no—
671C4×#41—44no—
672C4×#41—44no—
673C4×#41—44no—
674C2×C4×Q8—24no—
675C2×C4×Q8—24no—
676C2×C4×Q8—24no—
677C2×C4×D4—24no—
678C2×C4×D4—24no—
679C2×C4×D4—24no—
680C2×C4×D4—44no—
681C2×C4×D4—44no—
682C2×C4×D4—44no—
683C2×#117—22no—
684C2×#117—24no—
685C2×#117—42no—
686C2×#117—44no—
687C22×C42—232no—
688C22×C42—24no—
689C22×C42—24no—
690C22×C42—22no—
691C22×C42—22no—
692C22×C42—24no—
693C22×C42—22no—
694C22×C42—24no—
695C22×C42—24no—
696C22×C42—24no—
697C22×C42—216no—
698C22×C42—24no—
699C22×C42—24no—
700C22×C42—24no—
701C22×C42—24no—
702C22×C42—24no—
703C22×C42—24no—
704C22×C42—24no—
705C22×C42—24no—
706C22×C42—24no—
707C22×C42—24no—
708C22×C42—24no—
709C22×C42—24no—
710C22×C42—24no—
711C22×C42—24no—
712C22×C42—24no—
713C22×C42—232no—
714C22×C42—416no—
715C22×C42—416no—
716C22×C42—416no—
717C22×C42—464no—
718C22×C42—432no—
719C22×C42—42no—
720C22×C42C2×C22⋊C414yes—
721C22×C42C2×C22⋊C414yes—
722C22×C42C4×D418yes—
723C22×C42C4×D418yes—
724C22×C42C23×C411yescharacteristic
725C22×C42C23×C411yescharacteristic
726C22×C42C23×C412yes—
727C22×C42C23×C412yes—
728C22×C42C22×D414yes—
729C22×C42C22×D411yescharacteristic
730C22×C42C22×D411yescharacteristic
731C22×C42C22×D411yescharacteristic
732C22×C42C22×D412yes—
733C22×C42C22×D412yes—
734C22×C42C2×#4118yes—
735C22×C42C2×#4112yes—
736C22×C42C2×#4112yes—
737C22×C42C2×#4112yes—
738C22×C42C2×#4112yes—
739C22×C42C2×#4112yes—
740C22×C42C2×#4112yes—
741C22×C42C2×#4112yes—
742C22×C42C2511yescharacteristic
743#500—24no—
744#500C2×C4218yescomplemented
745#499—28no—
746#499—28no—
747#498—24no—
748#498C2×C4218yescomplemented
749#495—28no—
750#495—28no—
751#494—22no—
752#494C2×C4214yescomplemented
753#493—22no—
754#493C2×C4214yescomplemented
755#492—24no—
756#492C2×C4218yescomplemented
757#488—216no—
758#488—216no—
759#487—28no—
760#487C2×C42116yescomplemented
761#486—28no—
762#486C2×C42116yescomplemented
763#467—216no—
764#467—216no—
765#466—216no—
766#466—216no—
767#465—232no—
768#465—232no—
769#446—232no—
770#446—416no—
771C8×Q8—232no—
772C8×Q8—416no—
773#444—4128no—
774C4×Q16—216no—
775C4×Q16—216no—
776C4×SD16—232no—
777C4×SD16—232no—
778C4×D8—216no—
779C4×D8—216no—
780#436—232no—
781#436—416no—
782#435—432no—
783#435—432no—
784C8×D4—232no—
785C8×D4—432no—
786C8×D4—432no—
787C8×D4—416no—
788#433—416no—
789#433—416no—
790#432—28no—
791#432—28no—
792#432—28no—
793#432—28no—
794#432—28no—
795#432—28no—
796#432—44no—
797#432—44no—
798#432—44no—
799#432—44no—
800#432—44no—
801#432—44no—
802#431—28no—
803#431—28no—
804#431—28no—
805#431—28no—
806#431—28no—
807#431—28no—
808#431—44no—
809#431—44no—
810#431—44no—
811#431—44no—
812#431—44no—
813#431—44no—
814#431—416no—
815#431—416no—
816C2×#108—216no—
817C2×#108—416no—
818#427—28no—
819#427—28no—
820C2×#107—24no—
821C2×#106—24no—
822#424—216no—
823#424—48no—
824#423—28no—
825#423—28no—
826#423—28no—
827#423—24no—
828#423—28no—
829#423C23×C4116yes—
830#423C23×C418yes—
831C2×C4⋊C8—28no—
832C2×C4⋊C8—28no—
833C2×C4⋊C8—28no—
834C2×C4⋊C8—48no—
835C2×#104—232no—
836C2×#104—264no—
837C2×#104—432no—
838C2×#104—832no—
839#416—216no—
840#416—216no—
841C2×#103—28no—
842C2×#102—28no—
843#408—216no—
844#408—48no—
845#407—24no—
846#407—28no—
847#407—24no—
848#407—28no—
849#407—44no—
850#407—44no—
851#407—44no—
852C2×C22⋊C8—44no—
853C2×C22⋊C8—44no—
854C2×C22⋊C8—44no—
855C2×C22⋊C8—48no—
856#405—216no—
857#405—48no—
858#405—416no—
859#405—416no—
860C4×M16—24no—
861C4×M16—28no—
862C4×M16—24no—
863C4×M16—28no—
864C4×M16—42no—
865C4×M16—42no—
866C4×M16—44no—
867C4×M16—44no—
868C4×M16—48no—
869C4×M16—48no—
870C2×#97—216no—
871C2×#97—216no—
872C2×#97—232no—
873C2×#97—432no—
874C2×#97—432no—
875C2×#97—48no—
876C2×#97—48no—
877C2×#97—432no—
878C2×#97—432no—
879C2×#97—432no—
880C2×#97—44no—
881C2×#97—42no—
882C2×#97—44no—
883C2×#97C2×C22⋊C4116yes—
884C2×#97C2×C22⋊C4116yes—
885C2×#97C2×C22⋊C4116yes—
886C2×#97C2×C22⋊C4116yes—
887C2×C4×C8—24no—
888C2×C4×C8—24no—
889C2×C4×C8—24no—
890C2×C4×C8—24no—
891C2×C4×C8—24no—
892C2×C4×C8—24no—
893C2×C4×C8—24no—
894C2×C4×C8—24no—
895C2×C4×C8—24no—
896C2×C4×C8—24no—
897C2×C4×C8—24no—
898C2×C4×C8—24no—
899C2×C4×C8—24no—
900C2×C4×C8—24no—
901C2×C4×C8—24no—
902C2×C4×C8—24no—
903C2×C4×C8—24no—
904C2×C4×C8—24no—
905C2×C4×C8—24no—
906C2×C4×C8—24no—
907C2×C4×C8—24no—
908C2×C4×C8—44no—
909C2×C4×C8—42no—
910C2×C4×C8—44no—
911C2×C4×C8—48no—
912C2×C4×C8—48no—
913C2×C4×C8C2×C4212yes—
914C2×C4×C8C2×C4212yes—
915C2×C4×C8C2×C4211yescharacteristic
916C2×C4×C8C2×C4211yescharacteristic
917C2×C4×C8C2×C4212yes—
918C2×C4×C8C2×C4214yes—
919C2×C4×C8C2×C4214yes—
920C2×C4×C8C2×C22⋊C412yes—
921C2×C4×C8C2×C22⋊C412yes—
922C2×C4×C8C2×C22⋊C414yes—
923C2×C4×C8C2×C22⋊C412yes—
924C2×C4×C8C2×C22⋊C412yes—
925C2×C4×C8C2×C22⋊C414yes—
926C2×C4×C8#11712yes—
927C2×C4×C8#11712yes—
928C2×C4×C8#11712yes—
929C2×C4×C8#11712yes—
930C2×C4×C8#11718yes—
931C2×C4×C8C4×D418yes—
932C2×C4×C8C4×D418yes—
933C2×C4×C8C4×D418yes—
934C2×C4×C8C4×D418yes—
935C2×C4×C8C4×D414yes—
936C2×C4×C8C4×D414yes—
937C2×C4×C8C4×D418yes—
938C2×C4×C8C4×D414yes—
939C2×C4×C8C4×D414yes—
940C2×C4×C8C4×D418yes—
941C2×C4×C8C4×D418yes—
942C2×C4×C8C4×D418yes—
943C2×C4×C8C4×D418yes—
944C2×C4×C8C4×D418yes—
945C2×C4×C8C4×D414yes—
946C2×C4×C8C4×D418yes—
947C2×C4×C8C4×D414yes—
948C2×C4×C8#12118yes—
949C2×C4×C8#12118yes—
950C2×C4×C8#12412yes—
951C2×C4×C8#12412yes—
952C2×C4×C8#12412yes—
953C2×C4×C8#12412yes—
954C2×C4×C8#12418yes—
955C2×C4×C8#12712yes—
956C2×C4×C8#12712yes—
957C2×C4×C8#12718yes—
958C2×C4×C8#12712yes—
959C2×C4×C8#12712yes—
960C2×C4×C8C23×C418yes—
961C2×C4×C8C23×C412yes—
962C2×C4×C8C23×C412yes—
963C2×C4×C8C23×C414yes—
964C2×C4×C8C23×C414yes—
965C2×C4×C8C23×C414yes—
966C2×C4×C8C22×D418yes—
967C2×C4×C8C22×D414yes—
968C2×C4×C8C22×D418yes—
969C2×C4×C8C22×D412yes—
970C2×C4×C8C22×D412yes—
971C2×C4×C8C2×#4118yes—
972C2×C4×C8C2×#4118yes—
973C2×C4×C8C2×#4118yes—
974C43—24no—
975C43—24no—
976C43—24no—
977C43—24no—
978C43—24no—
979C43—24no—
980C43—24no—
981C43—24no—
982C43—24no—
983C43—24no—
984C43—24no—
985C43—24no—
986C43—24no—
987C43—24no—
988C43—24no—
989C43—24no—
990C43—24no—
991C43—24no—
992C43—464no—
993C43—464no—
994C43—432no—
995C43—432no—
996C43C2×C22⋊C414yes—
997C43C2×C22⋊C414yes—
998C43C4×D418yes—
999C43C4×D418yes—
1000C43C23×C414yes—
1001C43C23×C418yes—
1002C43C22×D414yes—
1003C43C22×D418yes—
1004#341—216no—
1005#339—232no—
1006#339—264no—
1007#336—232no—
1008#336—232no—
1009#336—264no—
1010#335—232no—
1011#334—232no—
1012Q8⋊C8—264no—
1013D4⋊C8—264no—
1014#322—416no—
1015#322—48no—
1016C82—48no—
1017C25#52511yescharacteristic
1018C2×#41—24no—
1019C2×#41—28no—
1020C2×#41—24no—
1021C2×#41—28no—
1022C2×#41—44no—
1023C2×#41—42no—
1024C2×#41—42no—
1025C2×#41—44no—
1026C2×#41—416no—
1027C2×#41—432no—
1028C22×Q8—22no—
1029C22×Q8—24no—
1030C22×D4—22no—
1031C22×D4—24no—
1032C22×D4—42no—
1033C22×D4—44no—
1034C23×C4—28no—
1035C23×C4—216no—
1036C23×C4—232no—
1037C23×C4—216no—
1038C23×C4—24no—
1039C23×C4—28no—
1040C23×C4—24no—
1041C23×C4—24no—
1042C23×C4—28no—
1043C23×C4—28no—
1044C23×C4—416no—
1045C23×C4—416no—
1046C23×C4—416no—
1047C23×C4—44no—
1048C23×C4—42no—
1049C23×C4C22×C22⋊C411yescharacteristic
1050C23×C4C22×C22⋊C411yescharacteristic
1051C23×C4C2×C4×D412yes—
1052C23×C4C2×C4×D412yes—
1053C23×C4C2×C4×D412yes—
1054C23×C4C2×C4×D412yes—
1055C23×C4C4×#4112yes—
1056C23×C4C4×#4112yes—
1057C23×C4C4×#4112yes—
1058C23×C4C4×#4112yes—
1059C23×C4C2×#12112yes—
1060C23×C4C2×#12112yes—
1061C23×C4#52511yescharacteristic
1062C23×C4#52511yescharacteristic
1063C23×C4#52511yescharacteristic
1064C23×C4#52512yes—
1065C23×C4#52912yes—
1066C23×C4#52912yes—
1067C23×C4#53212yes—
1068C23×C4#53212yes—
1069C23×C4#53212yes—
1070C23×C4#53212yes—
1071C23×C4C23×D411yescharacteristic
1072C23×C4C22×#4112yes—
1073#135—432no—
1074#135—432no—
1075C2×Q16—28no—
1076C2×Q16—48no—
1077C2×SD16—216no—
1078C2×SD16—416no—
1079C2×D8—28no—
1080C2×D8—48no—
1081#131—464no—
1082#131—832no—
1083C2×M16—28no—
1084C2×M16—216no—
1085C2×M16—48no—
1086C2×M16—44no—
1087C2×M16—416no—
1088C2×M16—416no—
1089C2×M16—432no—
1090C2×M16—816no—
1091C22×C8—28no—
1092C22×C8—28no—
1093C22×C8—28no—
1094C22×C8—28no—
1095C22×C8—28no—
1096C22×C8—28no—
1097C22×C8—28no—
1098C22×C8—28no—
1099C22×C8—28no—
1100C22×C8—28no—
1101C22×C8—28no—
1102C22×C8—48no—
1103C22×C8—48no—
1104C22×C8—48no—
1105C22×C8—48no—
1106C22×C8—416no—
1107C22×C8—416no—
1108C22×C8—416no—
1109C22×C8—48no—
1110C22×C8—48no—
1111C22×C8—416no—
1112C22×C8—416no—
1113C22×C8—416no—
1114C22×C8—416no—
1115C22×C8—416no—
1116C22×C8—416no—
1117C22×C8—416no—
1118C22×C8—48no—
1119C22×C8—44no—
1120C22×C8—416no—
1121C22×C8—816no—
1122C22×C8C4×C22⋊C412yes—
1123C22×C8C4×C22⋊C412yes—
1124C22×C8C4×C22⋊C414yes—
1125C22×C8C4×C22⋊C414yes—
1126C22×C8C4×C22⋊C414yes—
1127C22×C8C4×C22⋊C418yes—
1128C22×C8C4×C22⋊C418yes—
1129C22×C8#39014yes—
1130C22×C8#39014yes—
1131C22×C8#39014yes—
1132C22×C8#39014yes—
1133C22×C8#390116yes—
1134C22×C8C22×C22⋊C414yes—
1135C22×C8C22×C22⋊C414yes—
1136C22×C8C22×C22⋊C414yes—
1137C22×C8C22×C22⋊C414yes—
1138C22×C8C2×C4×D418yes—
1139C22×C8C2×C4×D418yes—
1140C22×C8C2×#121116yes—
1141C4⋊Q8—24no—
1142C4⋊Q8—22no—
1143C4⋊Q8—24no—
1144C4⋊Q8—24no—
1145C4⋊Q8—24no—
1146C4⋊Q8C22×C4218yes—
1147C4⋊Q8C22×C4214yes—
1148#127—22no—
1149#127—24no—
1150#127C22×C4214yes—
1151#126—48no—
1152#126—48no—
1153#126—48no—
1154#126—48no—
1155#125—24no—
1156#125—28no—
1157#125—24no—
1158#125—28no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#124—24no—
1163#124—28no—
1164#124—24no—
1165#124—28no—
1166#124—44no—
1167#124—44no—
1168#124—44no—
1169#123—44no—
1170#123—48no—
1171#123—48no—
1172#123—44no—
1173#123—48no—
1174#123—48no—
1175#123—48no—
1176C22⋊Q8—28no—
1177C22⋊Q8—28no—
1178C22⋊Q8—28no—
1179C22⋊Q8—28no—
1180C22⋊Q8—28no—
1181C22⋊Q8—28no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188#121—28no—
1189#121—28no—
1190#121—28no—
1191#121—28no—
1192#121—28no—
1193#121—28no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—44no—
1200#120—44no—
1201#120—44no—
1202#120—48no—
1203C4×Q8—28no—
1204C4×Q8—28no—
1205C4×Q8—28no—
1206C4×Q8—28no—
1207C4×Q8—28no—
1208C4×Q8—28no—
1209C4×Q8—44no—
1210C4×Q8—44no—
1211C4×Q8—44no—
1212C4×Q8—44no—
1213C4×Q8—44no—
1214C4×Q8—44no—
1215C4×D4—28no—
1216C4×D4—28no—
1217C4×D4—28no—
1218C4×D4—28no—
1219C4×D4—28no—
1220C4×D4—28no—
1221C4×D4—48no—
1222C4×D4—48no—
1223C4×D4—48no—
1224C4×D4—48no—
1225C4×D4—48no—
1226C4×D4—48no—
1227C4×D4—48no—
1228C4×D4—48no—
1229C4×D4—48no—
1230C4×D4—48no—
1231C4×D4—48no—
1232C4×D4—48no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239#117—24no—
1240#117—28no—
1241#117—24no—
1242#117—28no—
1243#117—44no—
1244#117—42no—
1245#117—42no—
1246#117—44no—
1247#117—48no—
1248#117—44no—
1249#117—48no—
1250#117—44no—
1251#117—48no—
1252#117—48no—
1253#117—48no—
1254C2×C4⋊C4—24no—
1255C2×C4⋊C4—24no—
1256C2×C4⋊C4—24no—
1257C2×C4⋊C4—44no—
1258C2×C4⋊C4—44no—
1259C2×C4⋊C4—44no—
1260C2×C22⋊C4—42no—
1261C2×C22⋊C4—44no—
1262C2×C22⋊C4—44no—
1263C2×C22⋊C4—44no—
1264C2×C22⋊C4—44no—
1265C2×C42—232no—
1266C2×C42—232no—
1267C2×C42—216no—
1268C2×C42—216no—
1269C2×C42—216no—
1270C2×C42—232no—
1271C2×C42—232no—
1272C2×C42—232no—
1273C2×C42—232no—
1274C2×C42—28no—
1275C2×C42—28no—
1276C2×C42—24no—
1277C2×C42—28no—
1278C2×C42—24no—
1279C2×C42—24no—
1280C2×C42—28no—
1281C2×C42—28no—
1282C2×C42—216no—
1283C2×C42—216no—
1284C2×C42—232no—
1285C2×C42—28no—
1286C2×C42—28no—
1287C2×C42—28no—
1288C2×C42—28no—
1289C2×C42—28no—
1290C2×C42—28no—
1291C2×C42—28no—
1292C2×C42—28no—
1293C2×C42—28no—
1294C2×C42—28no—
1295C2×C42—28no—
1296C2×C42—416no—
1297C2×C42—416no—
1298C2×C42—416no—
1299C2×C42—416no—
1300C2×C42—416no—
1301C2×C42—416no—
1302C2×C42—416no—
1303C2×C42—4128no—
1304C2×C42—464no—
1305C2×C42—416no—
1306C2×C42—416no—
1307C2×C42—416no—
1308C2×C42—416no—
1309C2×C42—416no—
1310C2×C42—416no—
1311C2×C42—416no—
1312C2×C42—416no—
1313C2×C42—416no—
1314C2×C42—416no—
1315C2×C42—4256no—
1316C2×C42—44no—
1317C2×C42—42no—
1318C2×C42—48no—
1319C2×C42—44no—
1320C2×C42—44no—
1321C2×C42#421116yes—
1322C2×C42C22×C4211yescharacteristic
1323C2×C42C22×C4212yes—
1324C2×C42C22×C4211yescharacteristic
1325C2×C42C22×C22⋊C418yes—
1326C2×C42C22×C22⋊C411yescharacteristic
1327C2×C42C22×C22⋊C411yescharacteristic
1328C2×C42C2×#11711yescharacteristic
1329C2×C42C2×#11712yes—
1330C2×C42C2×#11711yescharacteristic
1331C2×C42C2×C4×D4116yes—
1332C2×C42C2×C4×D412yes—
1333C2×C42C2×C4×D412yes—
1334C2×C42C2×C4×D412yes—
1335C2×C42C2×C4×D412yes—
1336C2×C42C2×C4×D412yes—
1337C2×C42C2×C4×D412yes—
1338C2×C42C2×C4×D412yes—
1339C2×C42C2×C4×D412yes—
1340C2×C42C2×C4×D412yes—
1341C2×C42C2×C4×D412yes—
1342C2×C42C2×C4×D412yes—
1343C2×C42C2×C4×D412yes—
1344C2×C42C2×C4×D412yes—
1345C2×C42C2×C4×D412yes—
1346C2×C42C2×C4×D412yes—
1347C2×C42C2×C4×D412yes—
1348C2×C42C4×#4112yes—
1349C2×C42C4×#4112yes—
1350C2×C42C4×#4112yes—
1351C2×C42C4×#4112yes—
1352C2×C42C4×#4112yes—
1353C2×C42C4×#4112yes—
1354C2×C42C4×#4112yes—
1355C2×C42C4×#4112yes—
1356C2×C42C2×#12112yes—
1357C2×C42C2×#12112yes—
1358C2×C42#52512yes—
1359C2×C42C2×#12411yescharacteristic
1360C2×C42C2×#12411yescharacteristic
1361C2×C42C2×#12412yes—
1362C2×C42#52912yes—
1363C2×C42#52912yes—
1364C2×C42#52912yes—
1365C2×C42#52912yes—
1366C2×C42#52912yes—
1367C2×C42#52912yes—
1368C2×C42C2×#12712yes—
1369C2×C42C2×#12711yescharacteristic
1370C2×C42C2×#12711yescharacteristic
1371C2×C42#53212yes—
1372C2×C42#53212yes—
1373C2×C42#53212yes—
1374C2×C42#53212yes—
1375C2×C42#53212yes—
1376C2×C42#53212yes—
1377C2×C42#53212yes—
1378C2×C42#53212yes—
1379C2×C42C24×C411yescharacteristic
1380C2×C42C24×C412yes—
1381C2×C42C23×D411yescharacteristic
1382C2×C42C23×D412yes—
1383C2×C42C22×#4112yes—
1384C2×C42C22×#4112yes—
1385C2×C42C22×#4112yes—
1386#108—432no—
1387#107—216no—
1388#106—216no—
1389C4⋊C8—216no—
1390C4⋊C8—216no—
1391C4⋊C8—216no—
1392C4⋊C8—432no—
1393C4⋊C8—48no—
1394C4⋊C8—48no—
1395C4⋊C8—48no—
1396#104—464no—
1397#104—864no—
1398#103—232no—
1399#102—232no—
1400C22⋊C8—48no—
1401C22⋊C8—48no—
1402C22⋊C8—48no—
1403C22⋊C8—48no—
1404C22⋊C8—48no—
1405C22⋊C8—48no—
1406C22⋊C8—432no—
1407#97—232no—
1408#97—232no—
1409#97—416no—
1410#97—416no—
1411#97—464no—
1412#97—416no—
1413#97—48no—
1414#97—44no—
1415#97—48no—
1416#97—44no—
1417C4×C8—28no—
1418C4×C8—28no—
1419C4×C8—28no—
1420C4×C8—28no—
1421C4×C8—28no—
1422C4×C8—28no—
1423C4×C8—28no—
1424C4×C8—416no—
1425C4×C8—48no—
1426C4×C8—48no—
1427C4×C8—44no—
1428C4×C8—44no—
1429C4×C8C4×C22⋊C418yes—
1430C4×C8C4×C22⋊C418yes—
1431C4×C8C4×C22⋊C414yes—
1432C4×C8C4×C22⋊C414yes—
1433C4×C8C4×C22⋊C412yes—
1434C4×C8C4×C22⋊C412yes—
1435C4×C8C4×C22⋊C414yes—
1436C4×C8#39014yes—
1437C4×C8#39014yes—
1438C4×C8#39014yes—
1439C4×C8#39014yes—
1440C4×C8#390116yes—
1441C4×C8C22×C4214yes—
1442C4×C8C22×C4212yes—
1443C4×C8C22×C4212yes—
1444C4×C8C2×#11714yes—
1445C4×C8C2×#11714yes—
1446C4×C8C2×C4×D4116yes—
1447C4×C8C2×C4×D418yes—
1448C4×C8C2×C4×D418yes—
1449C4×C8C2×C4×D4116yes—
1450C4×C8C2×#12414yes—
1451C4×C8C2×#12414yes—
1452C4×C8C2×#12714yes—
1453C4×C8C2×#12714yes—
1454C24—28no—
1455C24—24no—
1456C24—42no—
1457C24#229711yescharacteristic
1458C24#229711yescharacteristic
1459C24C4×#12112yes—
1460C24C4×#12112yes—
1461C24C2×#52511yescharacteristic
1462#41—432no—
1463#41—432no—
1464#41—416no—
1465#41—416no—
1466#41—816no—
1467#41—88no—
1468#41—816no—
1469#41—88no—
1470C2×Q8—24no—
1471C2×Q8—28no—
1472C2×Q8—44no—
1473C2×Q8—42no—
1474C2×Q8—416no—
1475C2×Q8—48no—
1476C2×D4—24no—
1477C2×D4—28no—
1478C2×D4—48no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—48no—
1482C2×D4—416no—
1483C2×D4—48no—
1484C2×D4—44no—
1485C2×D4—42no—
1486C2×D4—816no—
1487C2×D4—88no—
1488C22×C4—28no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—28no—
1493C22×C4—28no—
1494C22×C4—28no—
1495C22×C4—28no—
1496C22×C4—28no—
1497C22×C4—28no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—28no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—28no—
1505C22×C4—28no—
1506C22×C4—28no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—28no—
1510C22×C4—232no—
1511C22×C4—216no—
1512C22×C4—232no—
1513C22×C4—232no—
1514C22×C4—216no—
1515C22×C4—216no—
1516C22×C4—28no—
1517C22×C4—216no—
1518C22×C4—416no—
1519C22×C4—416no—
1520C22×C4—416no—
1521C22×C4—4128no—
1522C22×C4—464no—
1523C22×C4—416no—
1524C22×C4—416no—
1525C22×C4—416no—
1526C22×C4—416no—
1527C22×C4—416no—
1528C22×C4—416no—
1529C22×C4—44no—
1530C22×C4—42no—
1531C22×C4—48no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—48no—
1535C22×C4—816no—
1536C22×C4—88no—
1537C22×C4C2×C4×C22⋊C412yes—
1538C22×C4C2×C4×C22⋊C411yescharacteristic
1539C22×C4C2×C4×C22⋊C411yescharacteristic
1540C22×C4C42×D412yes—
1541C22×C4C42×D412yes—
1542C22×C4C42×D412yes—
1543C22×C4C42×D412yes—
1544C22×C4C2×#39012yes—
1545C22×C4C2×#39011yescharacteristic
1546C22×C4C2×#39011yescharacteristic
1547C22×C4#229312yes—
1548C22×C4#229312yes—
1549C22×C4#229312yes—
1550C22×C4#229312yes—
1551C22×C4#229712yes—
1552C22×C4#229712yes—
1553C22×C4#229711yescharacteristic
1554C22×C4#229711yescharacteristic
1555C22×C4C4×#12112yes—
1556C22×C4C4×#12112yes—
1557C22×C4C4×#12112yes—
1558C22×C4C4×#12112yes—
1559C22×C4C4×#12112yes—
1560C22×C4C4×#12112yes—
1561C22×C4C4×#12112yes—
1562C22×C4C4×#12112yes—
1563C22×C4C4×#12112yes—
1564C22×C4C4×#12112yes—
1565C22×C4C4×#12412yes—
1566C22×C4C4×#12412yes—
1567C22×C4C4×#12412yes—
1568C22×C4C4×#12412yes—
1569C22×C4C4×#12712yes—
1570C22×C4C4×#12712yes—
1571C22×C4C4×#12712yes—
1572C22×C4C4×#12712yes—
1573C22×C4C2×#42118yes—
1574C22×C4#2956116yes—
1575C22×C4C23×C22⋊C411yescharacteristic
1576C22×C4C22×C4×D412yes—
1577C22×C4C22×C4×D412yes—
1578C22×C4C2×C4×#4112yes—
1579C22×C4C2×C4×#4112yes—
1580C22×C4C22×#12112yes—
1581C22×C4C2×#52511yescharacteristic
1582C22×C4C2×#52912yes—
1583C22×C4C2×#53212yes—
1584C22×C4C2×#53212yes—
1585Q16—416no—
1586SD16—432no—
1587D8—416no—
1588M16—432no—
1589M16—416no—
1590M16—832no—
1591M16—816no—
1592M16—88no—
1593C2×C8—28no—
1594C2×C8—28no—
1595C2×C8—24no—
1596C2×C8—24no—
1597C2×C8—28no—
1598C2×C8—28no—
1599C2×C8—28no—
1600C2×C8—28no—
1601C2×C8—28no—
1602C2×C8—28no—
1603C2×C8—28no—
1604C2×C8—28no—
1605C2×C8—28no—
1606C2×C8—216no—
1607C2×C8—48no—
1608C2×C8—48no—
1609C2×C8—416no—
1610C2×C8—48no—
1611C2×C8—48no—
1612C2×C8—416no—
1613C2×C8—416no—
1614C2×C8—416no—
1615C2×C8—416no—
1616C2×C8—416no—
1617C2×C8—416no—
1618C2×C8—416no—
1619C2×C8—416no—
1620C2×C8—48no—
1621C2×C8—416no—
1622C2×C8—832no—
1623C2×C8—816no—
1624C2×C8—88no—
1625C2×C8C2×C4×C22⋊C418yes—
1626C2×C8C2×C4×C22⋊C414yes—
1627C2×C8C2×C4×C22⋊C414yes—
1628C2×C8C2×#39018yes—
1629C2×C8C2×#39018yes—
1630C4⋊C4—28no—
1631C4⋊C4—28no—
1632C4⋊C4—28no—
1633C4⋊C4—44no—
1634C4⋊C4—44no—
1635C4⋊C4—44no—
1636C4⋊C4—48no—
1637C4⋊C4—48no—
1638C4⋊C4—48no—
1639C4⋊C4—48no—
1640C4⋊C4—48no—
1641C4⋊C4—48no—
1642C22⋊C4—48no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—48no—
1646C22⋊C4—48no—
1647C22⋊C4—48no—
1648C22⋊C4—48no—
1649C22⋊C4—48no—
1650C22⋊C4—48no—
1651C22⋊C4—48no—
1652C42—216no—
1653C42—216no—
1654C42—232no—
1655C42—232no—
1656C42—232no—
1657C42—232no—
1658C42—216no—
1659C42—28no—
1660C42—232no—
1661C42—416no—
1662C42—416no—
1663C42—416no—
1664C42—416no—
1665C42—416no—
1666C42—416no—
1667C42—416no—
1668C42—416no—
1669C42—416no—
1670C42—416no—
1671C42—4256no—
1672C42—416no—
1673C42—48no—
1674C42—44no—
1675C42—44no—
1676C42—48no—
1677C42C2×C4×C22⋊C412yes—
1678C42C2×C4×C22⋊C411yescharacteristic
1679C42C2×C4×C22⋊C411yescharacteristic
1680C42C42×D412yes—
1681C42C42×D412yes—
1682C42C42×D412yes—
1683C42C42×D412yes—
1684C42C2×#39011yescharacteristic
1685C42C2×#39011yescharacteristic
1686C42C2×#39012yes—
1687C42#229312yes—
1688C42#229312yes—
1689C42#229312yes—
1690C42#229312yes—
1691C42C4×#12112yes—
1692C42C4×#12112yes—
1693C42C4×#12112yes—
1694C42C4×#12112yes—
1695C42C4×#12412yes—
1696C42C4×#12412yes—
1697C42C4×#12412yes—
1698C42C4×#12412yes—
1699C42C4×#12712yes—
1700C42C4×#12712yes—
1701C42C4×#12712yes—
1702C42C4×#12712yes—
1703C42C2×#421116yes—
1704C42C23×C4211yescharacteristic
1705C42C22×#11711yescharacteristic
1706C42C22×C4×D412yes—
1707C42C22×C4×D412yes—
1708C42C22×C4×D412yes—
1709C42C2×C4×#4112yes—
1710C42C22×#12411yescharacteristic
1711C42C2×#52912yes—
1712C42C22×#12711yescharacteristic
1713C42C2×#53212yes—
1714C23—232no—
1715C23—24no—
1716C23—24no—
1717C23—24no—
1718C23—24no—
1719C23—24no—
1720C23—24no—
1721C23—22no—
1722C23—22no—
1723C23—24no—
1724C23—24no—
1725C23—44no—
1726C23—88no—
1727C23—84no—
1728C23C4×#39012yes—
1729C23C4×#39011yescharacteristic
1730C23C4×#39011yescharacteristic
1731C23#2141714yes—
1732C23#2155118yes—
1733C23C2×#229711yescharacteristic
1734C23C2×C4×#12112yes—
1735Q8—416no—
1736Q8—48no—
1737Q8—88no—
1738Q8—84no—
1739D4—416no—
1740D4—48no—
1741D4—816no—
1742D4—816no—
1743D4—88no—
1744D4—88no—
1745D4—88no—
1746D4—84no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—24no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—24no—
1768C2×C4—24no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—232no—
1782C2×C4—216no—
1783C2×C4—464no—
1784C2×C4—432no—
1785C2×C4—416no—
1786C2×C4—416no—
1787C2×C4—464no—
1788C2×C4—432no—
1789C2×C4—464no—
1790C2×C4—432no—
1791C2×C4—416no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—88no—
1795C2×C4—84no—
1796C2×C4—816no—
1797C2×C4—88no—
1798C2×C4—816no—
1799C2×C4—88no—
1800C2×C4C4×#39012yes—
1801C2×C4C4×#39012yes—
1802C2×C4C4×#39012yes—
1803C2×C4C4×#39012yes—
1804C2×C4C4×#39012yes—
1805C2×C4C4×#39011yescharacteristic
1806C2×C4C4×#39011yescharacteristic
1807C2×C4C4×#42114yes—
1808C2×C4C4×#42114yes—
1809C2×C4#2051218yes—
1810C2×C4#2051218yes—
1811C2×C4#2120914yes—
1812C2×C4#2120914yes—
1813C2×C4#2141714yes—
1814C2×C4#2155118yes—
1815C2×C4#2171018yes—
1816C2×C4#2171018yes—
1817C2×C4C22×C4×C22⋊C411yescharacteristic
1818C2×C4C2×C42×D412yes—
1819C2×C4C22×#39011yescharacteristic
1820C2×C4C2×#229312yes—
1821C2×C4C2×C4×#12112yes—
1822C2×C4C2×C4×#12412yes—
1823C2×C4C2×C4×#12712yes—
1824C2×C4C22×#42114yes—
1825C2×C4C2×#295618yes—
1826C8—28no—
1827C8—24no—
1828C8—24no—
1829C8—28no—
1830C8—28no—
1831C8—416no—
1832C8—88no—
1833C8—816no—
1834C22—28no—
1835C22—216no—
1836C22—28no—
1837C22—22no—
1838C22—22no—
1839C22—216no—
1840C22—28no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—84no—
1846C22—88no—
1847C22—168no—
1848C22#35454512yes—
1849C22#35454512yes—
1850C22#35463514yes—
1851C22#35463514yes—
1852C22C2×C4×#39011yescharacteristic
1853C22C2×#2141712yes—
1854C22C2×#2155114yes—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—22no—
1859C4—22no—
1860C4—22no—
1861C4—432no—
1862C4—416no—
1863C4—84no—
1864C4—88no—
1865C4#35454512yes—
1866C4#35454512yes—
1867C4#35463514yes—
1868C4#35463514yes—
1869C4C2×C4×#42112yes—
1870C4C2×#2051214yes—
1871C4C2×#2120912yes—
1872C4C2×#2171014yes—
1873C2—24no—
1874C2—22no—
1875C2—24no—
1876C2—22no—
1877C2—164no—
1878C2C2×#35454511yescharacteristic
1879C2#7221301614yesdirect product factor
1880C2C2×#35463512yes—
subgroupG/H
centerC2×C42C2×#127
commutatorC42C23×C42
Frattini, cosocleC22×C42C25
socleC23C4×#390
prime radicalC2×#60673C22
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C42 ◁ C23×C4×C8 ◁ G
LECSG ▷ C22×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#110276C2semidirect
3. C2×#182359C2semidirect
4. #72213016C2direct (N × H)
5. C2×#183351C2semidirect
7. C2×#109018C2semidirect
8. C2×#353159C2semidirect
9. C2×#110273C2semidirect
14. #6373967C4semidirect
16. C2×#21734C4semidirect
17. C2×#21706C4semidirect
18. C2×#21660C4semidirect
34. #353159C22semidirect
36. #206367C4semidirect
38. C2×#9854C4semidirect
39. C2×#9853C4semidirect
40. C2×#9852C4semidirect
42. #183351C22semidirect
46. #182359C22semidirect
52. #110276C22semidirect
53. #110273C22semidirect
54. #109018C22semidirect
98. #21734C2×C4semidirect
100. #21706C2×C4semidirect
102. #21660C2×C4semidirect
192. #9854C2×C4semidirect
193. #9853C2×C4semidirect
194. #9852C2×C4semidirect
243. #3170C42semidirect
247. #3169C42semidirect
255. #3167C42semidirect
259. #3160C42semidirect
261. C2×#500C42semidirect
263. C2×#498C42semidirect
266. #3147C42semidirect
269. C2×#494C42semidirect
270. C2×#493C42semidirect
271. C2×#492C42semidirect
274. #3131C42semidirect
277. C2×#487C42semidirect
278. C2×#486C42semidirect
744. #500C2×C42semidirect
748. #498C2×C42semidirect
752. #494C2×C42semidirect
754. #493C2×C42semidirect
756. #492C2×C42semidirect
760. #487C2×C42semidirect
762. #486C2×C42semidirect
1879. C2#72213016direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#1102762
C2×#63739672
C2×#1823592
#722130162
C2×#1833512
C2×#2063672
C2×#1090182
C2×#3531592
C2×#1102732