Finite Group Databasebeta

← #10575462

Subgroups — #10575462

Order 512.

8008 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62811C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3#60770C216yesmaximal, complemented
4#60769C216yesmaximal, complemented
5#60766C216yesmaximal, complemented
6#60763C213yesmaximal, complemented
7#60762C213yesmaximal, complemented
8#60761C216yesmaximal, complemented
9#60759C213yesmaximal, complemented
10#60758C213yesmaximal, complemented
11#60752C213yesmaximal, complemented
12#60751C213yesmaximal, complemented
13#60734C213yesmaximal, complemented
14C2×#3190C213yesmaximal, complemented
15#60524C212yesmaximal, complemented
16#60522C211yesmaximal, characteristic, complemented
17#60521C211yesmaximal, characteristic, complemented
18#60459C212yesmaximal, complemented
19#60457C212yesmaximal, complemented
20#60377C212yesmaximal, complemented
21#60375C211yesmaximal, characteristic, complemented
22#60374C211yesmaximal, characteristic, complemented
23C2×#2880C211yesmaximal, characteristic, complemented
24C2×#585C2211yescharacteristic, complemented
25C22×2−1+4C2211yescharacteristic, complemented
26C23×#41C2211yescharacteristic
27C2×#578C2212yescomplemented
28C2×#577C2212yescomplemented
29C22×#131C2212yescomplemented
30#3489—23no—
31#3489—23no—
32#3489—21no—
33#3489—21no—
34#3489C2212yes—
35#3489C2213yes—
36#3489C2211yescharacteristic
37#3489C2212yescomplemented
38#3489C2211yescharacteristic, complemented
39#3489C2216yescomplemented
40#3489C2216yescomplemented
41#3489C2213yescomplemented
42#3488C2213yes—
43#3488C2211yescharacteristic
44#3488C2211yescharacteristic, complemented
45#3488C2213yescomplemented
46#3487—21no—
47#3486—21no—
48#3485—23no—
49#3484—23no—
50D4×#41—23no—
51D4×#41—21no—
52D4×#41—23no—
53D4×#41—21no—
54C2×D4×Q8—21no—
55C2×#548—21no—
56C2×#547—23no—
57C2×#546—23no—
58#3449C2213yescomplemented
59#3449C2213yescomplemented
60C2×#537C2213yescomplemented
61C2×#536C2213yescomplemented
62C2×#525C2213yes—
63C2×#525C2213yes—
64C2×#525C2213yescomplemented
65C22×C22⋊Q8C2213yescomplemented
66#3428C2211yescharacteristic, complemented
67C2×#520C2211yescharacteristic, complemented
68#3204C22112yescomplemented
69#3203C22112yescomplemented
70#3202C22112yescomplemented
71#3201C22112yescomplemented
72#3201C22112yescomplemented
73#3201C22112yescomplemented
74#3200C22112yescomplemented
75#3198C22112yescomplemented
76#3197C22112yescomplemented
77#3196C2216yescomplemented
78#3196C2216yescomplemented
79#3196C2216yescomplemented
80#3195C2216yescomplemented
81#3194C2216yescomplemented
82#3193C2216yescomplemented
83#3191C2216yescomplemented
84#3191C2216yescomplemented
85#3191C22112yescomplemented
86#3190C2213yescomplemented
87#3190C2216yescomplemented
88#3190C2213yescomplemented
89#3190C2216yescomplemented
90#3190C2216yescomplemented
91#3190C22112yescomplemented
92#3190C22112yescomplemented
93#3190C2216yescomplemented
94#3189C2213yescomplemented
95#3189C2216yescomplemented
96#3188C2211yescharacteristic, complemented
97#3188C2213yescomplemented
98#3188C2216yescomplemented
99#3187C2213yescomplemented
100#3187C2213yescomplemented
101#3187C2216yescomplemented
102#3186C2213yescomplemented
103#3099C2216yescomplemented
104#3099C2216yescomplemented
105#3098C2216yescomplemented
106#3098C2216yescomplemented
107#3097C2216yescomplemented
108#3097C2216yescomplemented
109#3097C2216yescomplemented
110#3096C2216yescomplemented
111#3095C2213yescomplemented
112#3095C2216yescomplemented
113#3094C2213yescomplemented
114#3093C2216yescomplemented
115#3092C2213yescomplemented
116#3092C2213yescomplemented
117#3091C2213yescomplemented
118#3091C2213yescomplemented
119#3091C2216yescomplemented
120C2×#485C2216yescomplemented
121C2×#483C2213yescomplemented
122C2×#480C2213yescomplemented
123#3063C2216yescomplemented
124#3063C2216yescomplemented
125#3063C2216yescomplemented
126#3062C2216yescomplemented
127#3061C2216yescomplemented
128#3060C2216yescomplemented
129#3059C2216yescomplemented
130#3057C2216yescomplemented
131#3056C2216yescomplemented
132#3056C2216yescomplemented
133#3056C2216yescomplemented
134#3055C2216yescomplemented
135#3050C2216yescomplemented
136#3050C2216yescomplemented
137C2×#467C2216yescomplemented
138C2×#465C2216yescomplemented
139#3013C2216yescomplemented
140#3013C2216yescomplemented
141#3013C2216yescomplemented
142#3012C2216yescomplemented
143#3011C2216yescomplemented
144#3011C2216yescomplemented
145#3010C2216yescomplemented
146#3009C2216yescomplemented
147#3007C2213yescomplemented
148#3007C2216yescomplemented
149#3006C2213yescomplemented
150#3005C2216yescomplemented
151#3004C2213yescomplemented
152#3004C2213yescomplemented
153#3002C2213yescomplemented
154#3002C2213yescomplemented
155#3002C2216yescomplemented
156C2×#452C2216yescomplemented
157C2×#451C2213yescomplemented
158C2×#448C2213yescomplemented
159#2913C2212yescomplemented
160#2912C2212yescomplemented
161#2898C2212yescomplemented
162#2898C2212yescomplemented
163#2898C2212yescomplemented
164#2897C2212yescomplemented
165#2880C2213yescomplemented
166#2880C2213yescomplemented
167#2880C2216yescomplemented
168#2880C2211yescharacteristic, complemented
169#2880C2211yescharacteristic, complemented
170#2880C2212yescomplemented
171C2×#408C2216yescomplemented
172C2×#407C2213yescomplemented
173C22×C22⋊C8C2213yescomplemented
174#585—48no—
175C2×2−1+4—23no—
176C2×2−1+4—21no—
177C2×2−1+4—21no—
178C2×2−1+4—48no—
179C2×2−1+4C2312yes—
180C2×2−1+4C2311yescharacteristic
181C2×2−1+4C2316yes—
182C2×2−1+4C2313yes—
183C2×H(5,𝔽2)—23no—
184C2×H(5,𝔽2)C2311yescharacteristic
185C2×H(5,𝔽2)C2313yes—
186C22×#41—23no—
187C22×#41—21no—
188C22×#41—23no—
189C22×#41—48no—
190C22×#41D413yes—
191C22×#41D411yescharacteristic
192C22×#41D413yes—
193C22×#41D411yescharacteristic
194C22×#41D413yes—
195C22×#41D411yescharacteristic
196C22×#41C2313yes—
197C22×#41C2313yes—
198C22×#41C2313yes—
199C22×#41C2311yescharacteristic
200C22×#41C2311yescharacteristic
201C22×#41C2311yescharacteristic
202C22×#41C2313yes—
203C22×#41C2313yes—
204C22×#41C2313yes—
205C23×Q8—21no—
206C23×Q8D411yescharacteristic
207C23×Q8C2313yes—
208C23×D4D413yes—
209C24×C4C2313yes—
210#578—48no—
211#577—48no—
212C2×#137C2316yescomplemented
213C2×#137C2316yescomplemented
214C2×#137C2316yescomplemented
215C2×AGL(1,ℤ/8)C2316yescomplemented
216C2×#135C2316yescomplemented
217C2×#135C2316yescomplemented
218C22×Q16C2316yescomplemented
219C22×SD16C2316yescomplemented
220C2×#131—48no—
221C2×#131C2312yes—
222C2×#131C2312yes—
223C2×#131C2316yes—
224C2×#131C2316yes—
225C22×M16C2316yes—
226C23×C8C2316yes—
227#550—21no—
228#550—23no—
229#550—21no—
230#550—23no—
231D4×Q8—22no—
232D4×Q8—22no—
233D4×Q8—26no—
234D4×Q8—26no—
235D4×Q8—21no—
236D4×Q8—23no—
237D4×Q8—21no—
238D4×Q8—23no—
239#548—22no—
240#548—22no—
241#548—26no—
242#548—26no—
243#548—21no—
244#548—23no—
245#548—21no—
246#548—23no—
247#548—21no—
248#548—23no—
249#548—21no—
250#548—23no—
251#547—26no—
252#547—26no—
253#547—212no—
254#547—26no—
255#547—212no—
256#547—26no—
257#547—23no—
258#547—26no—
259#547—23no—
260#547—23no—
261#547—26no—
262#547—23no—
263#546—23no—
264#546—26no—
265#546—23no—
266#546—23no—
267#546—26no—
268#546—23no—
269#546—26no—
270#546—26no—
271#546—212no—
272#546—26no—
273#546—212no—
274#546—26no—
275#546—23no—
276#546—26no—
277#546—23no—
278#546—23no—
279#546—26no—
280#546—23no—
281D42—23no—
282D42—26no—
283D42—23no—
284D42—23no—
285D42—26no—
286D42—23no—
287#537—26no—
288#537—23no—
289#537—23no—
290#537C2313yes—
291#537C2316yes—
292#537C2313yes—
293#537C23112yes—
294#537C2316yes—
295#537C2316yes—
296#537C2316yes—
297#537C2313yes—
298#537C2313yes—
299#536—26no—
300#536—23no—
301#536—23no—
302#536—23no—
303#536—23no—
304#536C2316yes—
305#536C2313yes—
306#536C23112yes—
307#536C2316yes—
308#536C2316yes—
309#536C2313yes—
310#535—23no—
311#535—23no—
312#535C2313yes—
313#535C2316yes—
314#535C2313yes—
315#534—26no—
316#534—26no—
317#532—23no—
318#532—26no—
319#532—23no—
320C2×C4⋊Q8—23no—
321C2×#124—23no—
322#525—26no—
323#525—23no—
324#525—23no—
325#525—23no—
326#525—23no—
327#525—23no—
328#525—23no—
329#525—23no—
330#525—23no—
331#525—23no—
332#525—23no—
333#525—23no—
334#525—23no—
335#525—23no—
336#525—23no—
337#525C2313yes—
338#525C2313yes—
339#525C2316yes—
340#525C2313yes—
341#525C2311yescharacteristic
342#525C2316yes—
343#525C2316yes—
344#525C2316yes—
345#525C2313yes—
346#525C2313yes—
347#525C2313yes—
348#525C2313yes—
349#525C2316yes—
350#525C2316yes—
351#525C2316yes—
352C2×#123—26no—
353C2×#123—23no—
354C2×#123—23no—
355C2×#123—23no—
356C2×C22⋊Q8—23no—
357C2×C22⋊Q8—23no—
358C2×C22⋊Q8—23no—
359C2×C22⋊Q8—23no—
360C2×C22⋊Q8—23no—
361C2×C22⋊Q8—23no—
362C2×C22⋊Q8—23no—
363C2×C22⋊Q8C2313yes—
364C2×C22⋊Q8C2316yes—
365C2×C22⋊Q8C2313yes—
366C2×C22⋊Q8C2316yes—
367C2×C22⋊Q8C2316yes—
368C2×C22⋊Q8C2316yes—
369C2×C22⋊Q8C2316yes—
370C2×C22⋊Q8C2313yes—
371C2×C22⋊Q8C2313yes—
372C2×C22⋊Q8C2313yes—
373C2×C22⋊Q8C2313yes—
374C2×#121—26no—
375C2×#121—23no—
376C2×#121C2313yes—
377C2×#121C2313yes—
378C2×#121C2313yes—
379C2×#121C2313yes—
380C2×#121C2311yescharacteristic
381C2×#121C2313yes—
382C2×#120—23no—
383C2×#120—23no—
384C2×#120—23no—
385#520—23no—
386#520—21no—
387#520C2316yes—
388#520C2313yes—
389#520C2313yes—
390#520C2312yes—
391#520C2311yescharacteristic
392#520C2311yescharacteristic
393#519—21no—
394#518—23no—
395C4×#41—23no—
396C4×#41—21no—
397C2×C4×Q8—21no—
398C2×C4×D4—23no—
399C2×C4×D4—23no—
400C2×C4×D4—23no—
401C2×C4×D4—23no—
402C2×C4×D4—23no—
403C2×C4×D4—23no—
404C2×C4×D4—23no—
405C2×#117C2313yes—
406C2×#117C2313yes—
407C2×#117C2313yes—
408C22×C4⋊C4—23no—
409C22×C4⋊C4C2313yes—
410C22×C22⋊C4—23no—
411#485C2316yes—
412#485C23112yes—
413#485C2316yes—
414#485C23112yescomplemented
415#485C23112yescomplemented
416#485C2316yescomplemented
417#485C2316yescomplemented
418#485C23112yescomplemented
419#485C23112yescomplemented
420#484C2311yescharacteristic
421#484C2313yes—
422#484C2316yescomplemented
423#484C2316yescomplemented
424#484C2316yescomplemented
425#484C23112yescomplemented
426#483C2313yes—
427#483C2316yes—
428#483C2313yes—
429#483C23112yescomplemented
430#483C2316yescomplemented
431#483C23112yescomplemented
432#482C2312yes—
433#482C2316yes—
434#482C2316yescomplemented
435#482C2316yescomplemented
436#482C23112yescomplemented
437#482C23112yescomplemented
438#481C2311yescharacteristic
439#481C2313yes—
440#481C2316yescomplemented
441#481C2316yescomplemented
442#481C2316yescomplemented
443#480C2313yes—
444#480C2316yes—
445#480C2313yes—
446#480C23112yescomplemented
447#480C2316yescomplemented
448#470C23112yescomplemented
449#470C23112yescomplemented
450#470C23112yescomplemented
451#469C23112yescomplemented
452#468C23112yescomplemented
453#468C23112yescomplemented
454#468C23112yescomplemented
455#468C23112yescomplemented
456#467C2316yes—
457#467C23112yes—
458#467C2316yes—
459#467C2316yescomplemented
460#467C2316yescomplemented
461#467C23112yescomplemented
462#467C23112yescomplemented
463#466C2312yes—
464#466C2316yes—
465#466C2316yescomplemented
466#466C2316yescomplemented
467#465C2316yes—
468#465C23112yes—
469#465C2316yes—
470#465C2312yes—
471#465C2316yes—
472#465C2316yescomplemented
473#465C2316yescomplemented
474#465C2316yescomplemented
475#465C2316yescomplemented
476#465C23112yescomplemented
477#465C23112yescomplemented
478#452C2316yes—
479#452C23112yes—
480#452C2316yes—
481#452C23112yescomplemented
482#452C23112yescomplemented
483#452C2316yescomplemented
484#452C2316yescomplemented
485#452C23112yescomplemented
486#452C23112yescomplemented
487#451C2313yes—
488#451C2313yes—
489#451C2316yes—
490#451C2316yescomplemented
491#451C23112yescomplemented
492#451C2316yescomplemented
493#451C2316yescomplemented
494#451C23112yescomplemented
495#450C2311yescharacteristic
496#450C2313yes—
497#450C2316yescomplemented
498#450C23112yescomplemented
499#449C2312yes—
500#449C2316yes—
501#449C2316yescomplemented
502#449C2316yescomplemented
503#449C23112yescomplemented
504#449C23112yescomplemented
505#448C2313yes—
506#448C2313yes—
507#448C2316yes—
508#448C2316yescomplemented
509#448C2316yescomplemented
510#448C2316yescomplemented
511#448C23112yescomplemented
512#447C2311yescharacteristic
513#447C2313yes—
514#447C2316yescomplemented
515#428C2316yescomplemented
516#428C2316yescomplemented
517#428C2316yescomplemented
518#428C2316yescomplemented
519#427C2316yescomplemented
520#427C2316yescomplemented
521C2×#107C2316yescomplemented
522C2×#106C2316yescomplemented
523#419C2316yescomplemented
524#419C2316yescomplemented
525#419C2316yescomplemented
526#418C2316yescomplemented
527#417C2316yescomplemented
528#417C2316yescomplemented
529#417C2316yescomplemented
530#417C2316yescomplemented
531#416C2316yescomplemented
532#416C2316yescomplemented
533#416C2316yescomplemented
534#416C2316yescomplemented
535C2×#103C2316yescomplemented
536C2×#103C2316yescomplemented
537C2×#103C2316yescomplemented
538C2×#102C2316yescomplemented
539#408C2316yes—
540#408C2316yes—
541#408C2316yes—
542#408C2316yes—
543#408C23112yes—
544#408C23112yes—
545#407C2313yes—
546#407C2313yes—
547#407C2316yes—
548#407C2316yes—
549#407C2316yes—
550C2×C22⋊C8C2313yes—
551C2×C22⋊C8C2313yes—
552C2×C22⋊C8C2316yes—
553C2×C22⋊C8C2311yescharacteristic
554C2×C22⋊C8C2313yes—
555C2×C22⋊C8C2316yes—
556C2×C22⋊C8C2313yes—
557C2×C22⋊C8C2313yes—
558C2×C22⋊C8C2316yes—
559C2×C22⋊C8C2316yes—
560C25C2×D413yes—
5612−1+4—28no—
5622−1+4—28no—
5632−1+4—28no—
5642−1+4—412no—
5652−1+4—412no—
5662−1+4—412no—
5672−1+4—48no—
5682−1+4—424no—
5692−1+4—48no—
570H(5,𝔽2)—28no—
571H(5,𝔽2)—412no—
572H(5,𝔽2)—424no—
573C2×#41—28no—
574C2×#41—28no—
575C2×#41—28no—
576C2×#41—23no—
577C2×#41—21no—
578C2×#41—26no—
579C2×#41—23no—
580C2×#41—23no—
581C2×#41—212no—
582C2×#41—26no—
583C2×#41—26no—
584C2×#41—23no—
585C2×#41—23no—
586C2×#41—23no—
587C2×#41—23no—
588C2×#41—23no—
589C2×#41—23no—
590C2×#41—412no—
591C2×#41—412no—
592C2×#41—412no—
593C2×#41—412no—
594C2×#41—412no—
595C2×#41—412no—
596C2×#41—412no—
597C2×#41—412no—
598C2×#41—412no—
599C2×#41—424no—
600C2×#41—44no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41—48no—
604C2×#41—424no—
605C2×#41C2×D413yes—
606C2×#41C2×D411yescharacteristic
607C2×#41C2×D413yes—
608C2×#41C2×D411yescharacteristic
609C2×#41C2×D413yes—
610C2×#41C2×D411yescharacteristic
611C2×#41C2×D416yes—
612C2×#41C2×D413yes—
613C2×#41C2×D413yes—
614C2×#41C2×D416yes—
615C2×#41C2×D413yes—
616C2×#41C2×D413yes—
617C2×#41C2×D416yes—
618C2×#41C2×D413yes—
619C2×#41C2×D413yes—
620C2×#41C2416yes—
621C2×#41C2413yes—
622C2×#41C2413yes—
623C2×#41C2413yes—
624C2×#41C2411yescharacteristic
625C2×#41C2416yes—
626C2×#41C2416yes—
627C2×#41C2413yes—
628C2×#41C2413yes—
629C2×#41C2413yes—
630C2×#41C2416yes—
631C2×#41C2411yescharacteristic
632C22×Q8—26no—
633C22×Q8—22no—
634C22×Q8—23no—
635C22×Q8—21no—
636C22×Q8—23no—
637C22×Q8—23no—
638C22×Q8—23no—
639C22×Q8—412no—
640C22×Q8—44no—
641C22×Q8—48no—
642C22×Q8C2×D411yescharacteristic
643C22×Q8C2×D411yescharacteristic
644C22×Q8C2×D411yescharacteristic
645C22×Q8C2×D413yes—
646C22×Q8C2×D413yes—
647C22×Q8C2×D413yes—
648C22×Q8C2416yes—
649C22×Q8C2413yes—
650C22×Q8C2413yes—
651C22×Q8C2416yes—
652C22×Q8C2413yes—
653C22×D4—21no—
654C22×D4—23no—
655C22×D4—23no—
656C22×D4—23no—
657C22×D4—23no—
658C22×D4—23no—
659C22×D4—23no—
660C22×D4—23no—
661C22×D4—23no—
662C22×D4—26no—
663C22×D4—23no—
664C22×D4—23no—
665C22×D4—412no—
666C22×D4C2×D413yes—
667C22×D4C2×D413yes—
668C22×D4C2×D413yes—
669C22×D4C2×D416yes—
670C22×D4C2×D413yes—
671C22×D4C2×D416yes—
672C22×D4C2×D413yes—
673C22×D4C2×D413yes—
674C22×D4C2×D416yes—
675C22×D4C2413yes—
676C22×D4C2411yescharacteristic
677C22×D4C2413yes—
678C23×C4—23no—
679C23×C4—23no—
680C23×C4—23no—
681C23×C4—23no—
682C23×C4—23no—
683C23×C4—412no—
684C23×C4C2×D413yes—
685C23×C4C2×D413yes—
686C23×C4C2×D413yes—
687C23×C4C2×D413yes—
688C23×C4C2×D413yes—
689C23×C4C2×D413yes—
690C23×C4C2×D413yes—
691C23×C4C2413yes—
692C23×C4C2413yes—
693C23×C4C2413yes—
694C23×C4C2413yes—
695C23×C4C2411yescharacteristic
696C23×C4C2413yes—
697C23×C4C2413yes—
698#137—412no—
699#137—412no—
700#137—412no—
701AGL(1,ℤ/8)—412no—
702#135—412no—
703#135—412no—
704C2×Q16—412no—
705C2×Q16C2416yes—
706C2×Q16C24112yes—
707C2×Q16C2416yes—
708C2×SD16—412no—
709C2×SD16C2416yes—
710C2×SD16C24112yes—
711C2×SD16C2412yes—
712C2×SD16C2416yes—
713C2×SD16C2416yes—
714C2×D8C2412yes—
715C2×D8C2416yes—
716#131—28no—
717#131—28no—
718#131—412no—
719#131—412no—
720C2×M16—412no—
721C2×M16C2416yes—
722C2×M16C2416yes—
723C2×M16C24112yes—
724C22×C8—412no—
725C22×C8C2416yes—
726C22×C8C2416yes—
727C22×C8C2412yes—
728C22×C8C2416yes—
729C22×C8C2416yes—
730C22×C8C2416yes—
731C4⋊Q8—26no—
732C4⋊Q8—26no—
733C4⋊Q8—212no—
734C4⋊Q8—23no—
735C4⋊Q8—23no—
736C4⋊Q8—26no—
737#127—23no—
738#127—23no—
739#127—26no—
740#124—23no—
741#124—23no—
742#124—26no—
743#124—26no—
744#124—26no—
745#124—212no—
746#124—23no—
747#124—23no—
748#124—26no—
749#123—212no—
750#123—212no—
751#123—212no—
752#123—212no—
753#123—26no—
754#123—26no—
755#123—26no—
756#123—26no—
757#123—23no—
758#123—21no—
759#123—26no—
760#123—23no—
761#123—23no—
762#123—23no—
763#123—23no—
764#123—23no—
765#123—23no—
766#123—26no—
767#123—26no—
768#123—26no—
769#123—26no—
770#123—26no—
771#123—26no—
772C22⋊Q8—26no—
773C22⋊Q8—26no—
774C22⋊Q8—212no—
775C22⋊Q8—23no—
776C22⋊Q8—23no—
777C22⋊Q8—23no—
778C22⋊Q8—23no—
779C22⋊Q8—26no—
780C22⋊Q8—26no—
781C22⋊Q8—23no—
782C22⋊Q8—23no—
783C22⋊Q8—26no—
784C22⋊Q8—26no—
785C22⋊Q8—26no—
786C22⋊Q8—26no—
787C22⋊Q8—26no—
788C22⋊Q8—26no—
789C22⋊Q8—26no—
790C22⋊Q8—26no—
791C22⋊Q8—26no—
792C22⋊Q8—26no—
793C22⋊Q8—23no—
794C22⋊Q8—23no—
795C22⋊Q8—23no—
796C22⋊Q8—23no—
797C22⋊Q8—23no—
798C22⋊Q8—23no—
799C22⋊Q8—23no—
800C22⋊Q8—23no—
801C22⋊Q8—23no—
802C22⋊Q8—23no—
803C22⋊Q8C2416yes—
804C22⋊Q8C2416yes—
805C22⋊Q8C2413yes—
806C22⋊Q8C2411yescharacteristic
807C22⋊Q8C2411yescharacteristic
808C22⋊Q8C2413yes—
809C22⋊Q8C24112yes—
810C22⋊Q8C24112yes—
811C22⋊Q8C2416yes—
812C22⋊Q8C2416yes—
813C22⋊Q8C2416yes—
814C22⋊Q8C2413yes—
815C22⋊Q8C2413yes—
816C22⋊Q8C2413yes—
817C22⋊Q8C2413yes—
818C22⋊Q8C2416yes—
819#121—212no—
820#121—212no—
821#121—212no—
822#121—212no—
823#121—26no—
824#121—26no—
825#121—212no—
826#121—23no—
827#121—23no—
828#121—23no—
829#121—23no—
830#121—26no—
831#121—26no—
832#121—26no—
833#121—26no—
834#121—26no—
835#121—26no—
836#121—26no—
837#121—26no—
838#121—26no—
839#121—26no—
840#121—21no—
841#121—21no—
842#121—23no—
843#121—23no—
844#121—23no—
845#121—23no—
846#121—23no—
847#121—23no—
848#121—23no—
849#121—23no—
850#121—23no—
851#121—23no—
852#121C2413yes—
853#121C2411yescharacteristic
854#121C2411yescharacteristic
855#121C2413yes—
856#121C2412yes—
857#121C2412yes—
858#121C2416yes—
859#121C2413yes—
860#121C2413yes—
861#121C2416yes—
862#121C2413yes—
863#121C2413yes—
864#121C2416yes—
865#121C2416yes—
866#120—23no—
867#120—21no—
868#120—26no—
869#120—23no—
870#120—23no—
871#120—23no—
872#120—23no—
873#120—23no—
874#120—23no—
875#120—26no—
876#120—26no—
877#120—26no—
878#120—26no—
879#120—26no—
880#120—26no—
881#120—26no—
882#120—26no—
883#120—26no—
884#120—26no—
885C4×Q8—26no—
886C4×Q8—22no—
887C4×Q8—23no—
888C4×Q8—23no—
889C4×Q8—21no—
890C4×Q8—21no—
891C4×D4—212no—
892C4×D4—26no—
893C4×D4—26no—
894C4×D4—26no—
895C4×D4—26no—
896C4×D4—23no—
897C4×D4—23no—
898C4×D4—23no—
899C4×D4—23no—
900C4×D4—23no—
901C4×D4—21no—
902C4×D4—23no—
903C4×D4—21no—
904C4×D4—26no—
905C4×D4—23no—
906C4×D4—23no—
907C4×D4—26no—
908C4×D4—23no—
909C4×D4—23no—
910C4×D4—23no—
911C4×D4—23no—
912C4×D4—23no—
913C4×D4—23no—
914C4×D4—26no—
915C4×D4—26no—
916C4×D4—26no—
917C4×D4—26no—
918C4×D4—26no—
919C4×D4—26no—
920C4×D4—23no—
921C4×D4—23no—
922C4×D4—23no—
923C4×D4—23no—
924C4×D4—26no—
925C4×D4—26no—
926C4×D4—26no—
927C4×D4—26no—
928C4×D4—26no—
929C4×D4—26no—
930#117—23no—
931#117—23no—
932#117—23no—
933#117—23no—
934#117—23no—
935#117—23no—
936#117C2413yes—
937#117C2411yescharacteristic
938#117C2413yes—
939#117C2413yes—
940#117C2416yes—
941#117C2416yes—
942#117C2416yes—
943C2×C4⋊C4—23no—
944C2×C4⋊C4—26no—
945C2×C4⋊C4—26no—
946C2×C4⋊C4—26no—
947C2×C4⋊C4—26no—
948C2×C4⋊C4—26no—
949C2×C4⋊C4—23no—
950C2×C4⋊C4—23no—
951C2×C4⋊C4—23no—
952C2×C4⋊C4—23no—
953C2×C4⋊C4—23no—
954C2×C4⋊C4—23no—
955C2×C4⋊C4—23no—
956C2×C4⋊C4—23no—
957C2×C4⋊C4C2413yes—
958C2×C4⋊C4C2416yes—
959C2×C4⋊C4C2416yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2413yes—
962C2×C4⋊C4C2413yes—
963C2×C4⋊C4C2413yes—
964C2×C4⋊C4C2413yes—
965C2×C22⋊C4—23no—
966C2×C22⋊C4—26no—
967C2×C22⋊C4—26no—
968C2×C22⋊C4—26no—
969C2×C22⋊C4—26no—
970C2×C22⋊C4—26no—
971C2×C22⋊C4—23no—
972C2×C22⋊C4—23no—
973C2×C22⋊C4—23no—
974C2×C22⋊C4—23no—
975C2×C22⋊C4—23no—
976C2×C22⋊C4—23no—
977C2×C22⋊C4—23no—
978C2×C22⋊C4—23no—
979C2×C22⋊C4—21no—
980C2×C22⋊C4—23no—
981C2×C22⋊C4—23no—
982C2×C22⋊C4—23no—
983C2×C22⋊C4—23no—
984C2×C22⋊C4—23no—
985C2×C42—23no—
986C2×C42—23no—
987C2×C42—23no—
988#107C2416yes—
989#107C24112yes—
990#107C2412yes—
991#107C2416yes—
992#107C2416yes—
993#106C2416yes—
994#106C24112yes—
995#106C2412yes—
996#106C2416yes—
997#106C2416yes—
998#103C2416yes—
999#103C2416yes—
1000#103C2416yes—
1001#103C24112yes—
1002#103C24112yes—
1003#103C24112yes—
1004#103C2412yes—
1005#103C2416yes—
1006#103C2416yes—
1007#103C2416yes—
1008#103C2416yes—
1009#102C2416yes—
1010#102C24112yes—
1011#102C2412yes—
1012#102C2412yes—
1013#102C2412yes—
1014#102C2416yes—
1015#102C2416yes—
1016#102C2416yes—
1017#102C2416yes—
1018C22⋊C8C2411yescharacteristic
1019C22⋊C8C2411yescharacteristic
1020C22⋊C8C2412yes—
1021C22⋊C8C2413yes—
1022C22⋊C8C2413yes—
1023C22⋊C8C2416yes—
1024C22⋊C8C2416yes—
1025C22⋊C8C2416yes—
1026C22⋊C8C2416yes—
1027C22⋊C8C2416yes—
1028C22⋊C8C2416yes—
1029C22⋊C8C2416yes—
1030C22⋊C8C24112yes—
1031C24—21no—
1032C24—23no—
1033C24—23no—
1034C24—46no—
1035C24—46no—
1036C24—46no—
1037C24C22×D411yescharacteristic
1038C24C22×D413yes—
1039C24C22×D413yes—
1040C24C22×D413yes—
1041C24C22×D413yes—
1042C24C22×D413yes—
1043C24C22×D413yes—
1044#41—24no—
1045#41—24no—
1046#41—24no—
1047#41—212no—
1048#41—212no—
1049#41—212no—
1050#41—212no—
1051#41—212no—
1052#41—212no—
1053#41—212no—
1054#41—212no—
1055#41—212no—
1056#41—212no—
1057#41—412no—
1058#41—412no—
1059#41—412no—
1060#41—412no—
1061#41—46no—
1062#41—46no—
1063#41—46no—
1064#41—46no—
1065#41—46no—
1066#41—46no—
1067#41—46no—
1068#41—42no—
1069#41—412no—
1070#41—46no—
1071#41—46no—
1072#41—412no—
1073#41—412no—
1074#41—412no—
1075#41—412no—
1076#41—412no—
1077#41—412no—
1078#41—424no—
1079#41—412no—
1080#41—448no—
1081#41—424no—
1082#41—412no—
1083#41—44no—
1084#41—412no—
1085#41—424no—
1086#41H(5,𝔽2)18yes—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—23no—
1091C2×Q8—26no—
1092C2×Q8—26no—
1093C2×Q8—23no—
1094C2×Q8—23no—
1095C2×Q8—212no—
1096C2×Q8—212no—
1097C2×Q8—212no—
1098C2×Q8—46no—
1099C2×Q8—46no—
1100C2×Q8—46no—
1101C2×Q8—46no—
1102C2×Q8—412no—
1103C2×Q8—46no—
1104C2×Q8—412no—
1105C2×Q8—412no—
1106C2×Q8—412no—
1107C2×Q8—424no—
1108C2×Q8—412no—
1109C2×Q8—48no—
1110C2×Q8—44no—
1111C2×Q8C22×D413yes—
1112C2×Q8C22×D413yes—
1113C2×Q8C22×D413yes—
1114C2×Q8C22×D416yes—
1115C2×Q8C22×D411yescharacteristic
1116C2×Q8C2516yes—
1117C2×Q8C2513yes—
1118C2×Q8C2511yescharacteristic
1119C2×D4—212no—
1120C2×D4—212no—
1121C2×D4—212no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—21no—
1125C2×D4—23no—
1126C2×D4—21no—
1127C2×D4—23no—
1128C2×D4—23no—
1129C2×D4—21no—
1130C2×D4—26no—
1131C2×D4—23no—
1132C2×D4—23no—
1133C2×D4—26no—
1134C2×D4—26no—
1135C2×D4—26no—
1136C2×D4—23no—
1137C2×D4—23no—
1138C2×D4—26no—
1139C2×D4—23no—
1140C2×D4—23no—
1141C2×D4—26no—
1142C2×D4—26no—
1143C2×D4—21no—
1144C2×D4—23no—
1145C2×D4—23no—
1146C2×D4—212no—
1147C2×D4—46no—
1148C2×D4—46no—
1149C2×D4—46no—
1150C2×D4—42no—
1151C2×D4—46no—
1152C2×D4—412no—
1153C2×D4—412no—
1154C2×D4—412no—
1155C2×D4—424no—
1156C2×D4—412no—
1157C2×D4—44no—
1158C2×D4—412no—
1159C2×D4—412no—
1160C2×D4—412no—
1161C2×D4—412no—
1162C2×D4—86no—
1163C2×D4—86no—
1164C2×D4—86no—
1165C2×D4—86no—
1166C2×D4—86no—
1167C2×D4C22×D416yes—
1168C2×D4C22×D416yes—
1169C2×D4C22×D413yes—
1170C2×D4C22×D413yes—
1171C2×D4C22×D416yes—
1172C2×D4C22×D413yes—
1173C2×D4C22×D416yes—
1174C2×D4C22×D416yes—
1175C2×D4C22×D416yes—
1176C2×D4C22×D413yes—
1177C2×D4C2512yes—
1178C2×D4C2513yes—
1179C2×D4C2511yescharacteristic
1180C22×C4—212no—
1181C22×C4—212no—
1182C22×C4—212no—
1183C22×C4—21no—
1184C22×C4—23no—
1185C22×C4—23no—
1186C22×C4—23no—
1187C22×C4—23no—
1188C22×C4—26no—
1189C22×C4—26no—
1190C22×C4—23no—
1191C22×C4—23no—
1192C22×C4—23no—
1193C22×C4—23no—
1194C22×C4—26no—
1195C22×C4—26no—
1196C22×C4—23no—
1197C22×C4—21no—
1198C22×C4—26no—
1199C22×C4—23no—
1200C22×C4—23no—
1201C22×C4—26no—
1202C22×C4—26no—
1203C22×C4—42no—
1204C22×C4—46no—
1205C22×C4—46no—
1206C22×C4—46no—
1207C22×C4—46no—
1208C22×C4—46no—
1209C22×C4—46no—
1210C22×C4—46no—
1211C22×C4—46no—
1212C22×C4—46no—
1213C22×C4—46no—
1214C22×C4—412no—
1215C22×C4—412no—
1216C22×C4—412no—
1217C22×C4—412no—
1218C22×C4—86no—
1219C22×C4C22×D413yes—
1220C22×C4C22×D413yes—
1221C22×C4C22×D413yes—
1222C22×C4C22×D413yes—
1223C22×C4C22×D413yes—
1224C22×C4C22×D413yes—
1225C22×C4C22×D413yes—
1226C22×C4C22×D413yes—
1227C22×C4C22×D413yes—
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D413yes—
1230C22×C4C22×D413yes—
1231C22×C4C22×D413yes—
1232C22×C4C22×D413yes—
1233C22×C4C22×D413yes—
1234C22×C4C22×D413yes—
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D413yes—
1237C22×C4C22×D413yes—
1238C22×C4C22×D413yes—
1239C22×C4C22×D411yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2513yes—
1242C22×C4C2513yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2513yes—
1246C22×C4C2513yes—
1247Q16—46no—
1248Q16—412no—
1249Q16—46no—
1250SD16—46no—
1251SD16—412no—
1252SD16—42no—
1253SD16—46no—
1254SD16—46no—
1255D8—42no—
1256D8—46no—
1257M16—212no—
1258M16—212no—
1259M16—412no—
1260C2×C8—212no—
1261C2×C8—212no—
1262C2×C8—42no—
1263C2×C8—46no—
1264C2×C8—46no—
1265C2×C8—46no—
1266C2×C8C2516yes—
1267C2×C8C2512yes—
1268C2×C8C2512yes—
1269C2×C8C2516yes—
1270C4⋊C4—26no—
1271C4⋊C4—26no—
1272C4⋊C4—23no—
1273C4⋊C4—23no—
1274C4⋊C4—21no—
1275C4⋊C4—23no—
1276C4⋊C4—21no—
1277C4⋊C4—212no—
1278C4⋊C4—212no—
1279C4⋊C4—26no—
1280C4⋊C4—26no—
1281C4⋊C4—26no—
1282C4⋊C4—23no—
1283C4⋊C4—23no—
1284C4⋊C4—23no—
1285C4⋊C4—23no—
1286C4⋊C4—26no—
1287C4⋊C4—26no—
1288C4⋊C4—26no—
1289C4⋊C4—21no—
1290C4⋊C4—23no—
1291C4⋊C4—23no—
1292C4⋊C4—23no—
1293C4⋊C4—23no—
1294C4⋊C4C2516yes—
1295C4⋊C4C2512yes—
1296C4⋊C4C2511yescharacteristic
1297C4⋊C4C2513yes—
1298C4⋊C4C2511yescharacteristic
1299C4⋊C4C2513yes—
1300C22⋊C4—26no—
1301C22⋊C4—26no—
1302C22⋊C4—23no—
1303C22⋊C4—21no—
1304C22⋊C4—23no—
1305C22⋊C4—21no—
1306C22⋊C4—23no—
1307C22⋊C4—21no—
1308C22⋊C4—212no—
1309C22⋊C4—212no—
1310C22⋊C4—26no—
1311C22⋊C4—23no—
1312C22⋊C4—23no—
1313C22⋊C4—26no—
1314C22⋊C4—26no—
1315C22⋊C4—23no—
1316C22⋊C4—23no—
1317C22⋊C4—26no—
1318C22⋊C4—26no—
1319C22⋊C4—23no—
1320C22⋊C4—23no—
1321C22⋊C4—26no—
1322C22⋊C4—26no—
1323C22⋊C4—23no—
1324C22⋊C4—21no—
1325C22⋊C4—23no—
1326C22⋊C4—21no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—26no—
1330C22⋊C4—23no—
1331C22⋊C4—23no—
1332C22⋊C4—26no—
1333C22⋊C4—23no—
1334C22⋊C4—23no—
1335C22⋊C4—26no—
1336C22⋊C4—26no—
1337C42—23no—
1338C42—21no—
1339C42—26no—
1340C42—23no—
1341C42—23no—
1342C42—26no—
1343C42—26no—
1344C23—26no—
1345C23—22no—
1346C23—22no—
1347C23—26no—
1348C23—26no—
1349C23—26no—
1350C23—26no—
1351C23—26no—
1352C23—26no—
1353C23—22no—
1354C23—23no—
1355C23—21no—
1356C23—41no—
1357C23—43no—
1358C23—43no—
1359C23—43no—
1360C23—43no—
1361C23—43no—
1362C23—43no—
1363C23—43no—
1364C23—43no—
1365C23—43no—
1366C23—43no—
1367C23—43no—
1368C23—42no—
1369C23—42no—
1370C23—46no—
1371C23—42no—
1372C23—46no—
1373C23—83no—
1374C23—83no—
1375C23—83no—
1376C23—83no—
1377C23—824no—
1378C23C23×D411yescharacteristic
1379C23C23×D413yes—
1380C23C23×D413yes—
1381C23C23×D413yes—
1382C23C23×D411yescharacteristic
1383C23C23×D411yescharacteristic
1384C23C23×D413yes—
1385Q8—26no—
1386Q8—26no—
1387Q8—26no—
1388Q8—26no—
1389Q8—26no—
1390Q8—26no—
1391Q8—22no—
1392Q8—46no—
1393Q8—46no—
1394Q8—412no—
1395Q8—46no—
1396Q8—412no—
1397Q8—46no—
1398Q8#53414yes—
1399D4—212no—
1400D4—212no—
1401D4—212no—
1402D4—22no—
1403D4—26no—
1404D4—22no—
1405D4—22no—
1406D4—26no—
1407D4—26no—
1408D4—26no—
1409D4—46no—
1410D4—46no—
1411D4—46no—
1412D4—46no—
1413D4—42no—
1414D4—44no—
1415D4—46no—
1416D4—42no—
1417D4—412no—
1418D4—412no—
1419D4—46no—
1420D4—42no—
1421D4—44no—
1422D4—46no—
1423D4—42no—
1424D4—46no—
1425D4—46no—
1426D4—412no—
1427D4—46no—
1428D4—86no—
1429D4—86no—
1430D4—86no—
1431D4—83no—
1432D4—83no—
1433D4—86no—
1434D4—83no—
1435D4—83no—
1436D4#534112yes—
1437C2×C4—26no—
1438C2×C4—26no—
1439C2×C4—26no—
1440C2×C4—22no—
1441C2×C4—26no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—26no—
1445C2×C4—26no—
1446C2×C4—26no—
1447C2×C4—26no—
1448C2×C4—26no—
1449C2×C4—26no—
1450C2×C4—26no—
1451C2×C4—26no—
1452C2×C4—22no—
1453C2×C4—23no—
1454C2×C4—21no—
1455C2×C4—23no—
1456C2×C4—21no—
1457C2×C4—26no—
1458C2×C4—23no—
1459C2×C4—21no—
1460C2×C4—26no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—43no—
1465C2×C4—43no—
1466C2×C4—43no—
1467C2×C4—43no—
1468C2×C4—43no—
1469C2×C4—43no—
1470C2×C4—43no—
1471C2×C4—43no—
1472C2×C4—43no—
1473C2×C4—46no—
1474C2×C4—42no—
1475C2×C4—412no—
1476C2×C4—412no—
1477C2×C4—46no—
1478C2×C4—46no—
1479C2×C4—412no—
1480C2×C4—42no—
1481C2×C4—46no—
1482C2×C4—46no—
1483C2×C4—412no—
1484C2×C4—46no—
1485C2×C4—46no—
1486C2×C4—412no—
1487C2×C4—86no—
1488C2×C4—86no—
1489C2×C4—83no—
1490C2×C4—83no—
1491C2×C4—83no—
1492C2×C4—83no—
1493C2×C4C23×D411yescharacteristic
1494C2×C4C23×D413yes—
1495C2×C4C23×D413yes—
1496C2×C4C23×D411yescharacteristic
1497C2×C4C23×D413yes—
1498C2×C4C23×D411yescharacteristic
1499C2×C4C23×D413yes—
1500C2×C4C2×H(5,𝔽2)112yes—
1501C2×C4C2611yescharacteristic
1502C8—22no—
1503C8—22no—
1504C8—26no—
1505C8—26no—
1506C22—23no—
1507C22—21no—
1508C22—21no—
1509C22—23no—
1510C22—21no—
1511C22—21no—
1512C22—23no—
1513C22—23no—
1514C22—23no—
1515C22—21no—
1516C22—23no—
1517C22—21no—
1518C22—23no—
1519C22—23no—
1520C22—21no—
1521C22—23no—
1522C22—23no—
1523C22—23no—
1524C22—412no—
1525C22—412no—
1526C22—44no—
1527C22—43no—
1528C22—41no—
1529C22—42no—
1530C22—42no—
1531C22—43no—
1532C22—41no—
1533C22—42no—
1534C22—43no—
1535C22—41no—
1536C22—86no—
1537C22—86no—
1538C22—86no—
1539C22—84no—
1540C22—86no—
1541C22—166no—
1542C22—166no—
1543C22C2×#53416yes—
1544C22#358412yes—
1545C22#358612yes—
1546C22C24×D411yescharacteristic
1547C4—21no—
1548C4—21no—
1549C4—21no—
1550C4—23no—
1551C4—23no—
1552C4—23no—
1553C4—46no—
1554C4—43no—
1555C4—41no—
1556C4—42no—
1557C4—43no—
1558C4—41no—
1559C4—43no—
1560C4—41no—
1561C4—46no—
1562C4C2×#53416yes—
1563C4C22×H(5,𝔽2)12yes—
1564C2—22no—
1565C2—22no—
1566C2—26no—
1567C2—43no—
1568C2—43no—
1569C2—41no—
1570C2—43no—
1571C2—82no—
1572C2—83no—
1573C2—81no—
1574C2C22×#53411yescharacteristic
1575C2C2×#358411yescharacteristic
1576C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C23×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62811C2semidirect
2. C2×#3489C2semidirect
3. #60770C2semidirect
4. #60769C2semidirect
5. #60766C2semidirect
6. #60763C2semidirect
7. #60762C2semidirect
8. #60761C2semidirect
9. #60759C2semidirect
10. #60758C2semidirect
11. #60752C2semidirect
12. #60751C2semidirect
13. #60734C2semidirect
14. C2×#3190C2semidirect
15. #60524C2semidirect
16. #60522C2semidirect
17. #60521C2semidirect
18. #60459C2semidirect
19. #60457C2semidirect
20. #60377C2semidirect
21. #60375C2semidirect
22. #60374C2semidirect
23. C2×#2880C2semidirect
24. C2×#585C22semidirect
25. C22×2−1+4C22semidirect
27. C2×#578C22semidirect
28. C2×#577C22semidirect
29. C22×#131C22semidirect
37. #3489C22semidirect
38. #3489C22semidirect
39. #3489C22semidirect
40. #3489C22semidirect
41. #3489C22semidirect
44. #3488C22semidirect
45. #3488C22semidirect
58. #3449C22semidirect
59. #3449C22semidirect
60. C2×#537C22semidirect
61. C2×#536C22semidirect
64. C2×#525C22semidirect
65. C22×C22⋊Q8C22semidirect
66. #3428C22semidirect
67. C2×#520C22semidirect
68. #3204C22semidirect
69. #3203C22semidirect
70. #3202C22semidirect
71. #3201C22semidirect
72. #3201C22semidirect
73. #3201C22semidirect
74. #3200C22semidirect
75. #3198C22semidirect
76. #3197C22semidirect
77. #3196C22semidirect
78. #3196C22semidirect
79. #3196C22semidirect
80. #3195C22semidirect
81. #3194C22semidirect
82. #3193C22semidirect
83. #3191C22semidirect
84. #3191C22semidirect
85. #3191C22semidirect
86. #3190C22semidirect
87. #3190C22semidirect
88. #3190C22semidirect
89. #3190C22semidirect
90. #3190C22semidirect
91. #3190C22semidirect
92. #3190C22semidirect
93. #3190C22semidirect
94. #3189C22semidirect
95. #3189C22semidirect
96. #3188C22semidirect
97. #3188C22semidirect
98. #3188C22semidirect
99. #3187C22semidirect
100. #3187C22semidirect
101. #3187C22semidirect
102. #3186C22semidirect
103. #3099C22semidirect
104. #3099C22semidirect
105. #3098C22semidirect
106. #3098C22semidirect
107. #3097C22semidirect
108. #3097C22semidirect
109. #3097C22semidirect
110. #3096C22semidirect
111. #3095C22semidirect
112. #3095C22semidirect
113. #3094C22semidirect
114. #3093C22semidirect
115. #3092C22semidirect
116. #3092C22semidirect
117. #3091C22semidirect
118. #3091C22semidirect
119. #3091C22semidirect
120. C2×#485C22semidirect
121. C2×#483C22semidirect
122. C2×#480C22semidirect
123. #3063C22semidirect
124. #3063C22semidirect
125. #3063C22semidirect
126. #3062C22semidirect
127. #3061C22semidirect
128. #3060C22semidirect
129. #3059C22semidirect
130. #3057C22semidirect
131. #3056C22semidirect
132. #3056C22semidirect
133. #3056C22semidirect
134. #3055C22semidirect
135. #3050C22semidirect
136. #3050C22semidirect
137. C2×#467C22semidirect
138. C2×#465C22semidirect
139. #3013C22semidirect
140. #3013C22semidirect
141. #3013C22semidirect
142. #3012C22semidirect
143. #3011C22semidirect
144. #3011C22semidirect
145. #3010C22semidirect
146. #3009C22semidirect
147. #3007C22semidirect
148. #3007C22semidirect
149. #3006C22semidirect
150. #3005C22semidirect
151. #3004C22semidirect
152. #3004C22semidirect
153. #3002C22semidirect
154. #3002C22semidirect
155. #3002C22semidirect
156. C2×#452C22semidirect
157. C2×#451C22semidirect
158. C2×#448C22semidirect
159. #2913C22semidirect
160. #2912C22semidirect
161. #2898C22semidirect
162. #2898C22semidirect
163. #2898C22semidirect
164. #2897C22semidirect
165. #2880C22semidirect
166. #2880C22semidirect
167. #2880C22semidirect
168. #2880C22semidirect
169. #2880C22semidirect
170. #2880C22semidirect
171. C2×#408C22semidirect
172. C2×#407C22semidirect
173. C22×C22⋊C8C22semidirect
212. C2×#137C23semidirect
213. C2×#137C23semidirect
214. C2×#137C23semidirect
215. C2×AGL(1,ℤ/8)C23semidirect
216. C2×#135C23semidirect
217. C2×#135C23semidirect
218. C22×Q16C23semidirect
219. C22×SD16C23semidirect
414. #485C23semidirect
415. #485C23semidirect
416. #485C23semidirect
417. #485C23semidirect
418. #485C23semidirect
419. #485C23semidirect
422. #484C23semidirect
423. #484C23semidirect
424. #484C23semidirect
425. #484C23semidirect
429. #483C23semidirect
430. #483C23semidirect
431. #483C23semidirect
434. #482C23semidirect
435. #482C23semidirect
436. #482C23semidirect
437. #482C23semidirect
440. #481C23semidirect
441. #481C23semidirect
442. #481C23semidirect
446. #480C23semidirect
447. #480C23semidirect
448. #470C23semidirect
449. #470C23semidirect
450. #470C23semidirect
451. #469C23semidirect
452. #468C23semidirect
453. #468C23semidirect
454. #468C23semidirect
455. #468C23semidirect
459. #467C23semidirect
460. #467C23semidirect
461. #467C23semidirect
462. #467C23semidirect
465. #466C23semidirect
466. #466C23semidirect
472. #465C23semidirect
473. #465C23semidirect
474. #465C23semidirect
475. #465C23semidirect
476. #465C23semidirect
477. #465C23semidirect
481. #452C23semidirect
482. #452C23semidirect
483. #452C23semidirect
484. #452C23semidirect
485. #452C23semidirect
486. #452C23semidirect
490. #451C23semidirect
491. #451C23semidirect
492. #451C23semidirect
493. #451C23semidirect
494. #451C23semidirect
497. #450C23semidirect
498. #450C23semidirect
501. #449C23semidirect
502. #449C23semidirect
503. #449C23semidirect
504. #449C23semidirect
508. #448C23semidirect
509. #448C23semidirect
510. #448C23semidirect
511. #448C23semidirect
514. #447C23semidirect
515. #428C23semidirect
516. #428C23semidirect
517. #428C23semidirect
518. #428C23semidirect
519. #427C23semidirect
520. #427C23semidirect
521. C2×#107C23semidirect
522. C2×#106C23semidirect
523. #419C23semidirect
524. #419C23semidirect
525. #419C23semidirect
526. #418C23semidirect
527. #417C23semidirect
528. #417C23semidirect
529. #417C23semidirect
530. #417C23semidirect
531. #416C23semidirect
532. #416C23semidirect
533. #416C23semidirect
534. #416C23semidirect
535. C2×#103C23semidirect
536. C2×#103C23semidirect
537. C2×#103C23semidirect
538. C2×#102C23semidirect

Maximal subgroups

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

subgroupindex
#628112
C2×#34892
#607702
#607692
#607662
#607632
#607622
#607612
#607592
#607582
#607522
#607512
#607342
C2×#31902
#605242
#605222
#605212
#604592
#604572
#603772
#603752
#603742
C2×#28802