Finite Group Databasebeta

← #10576406

Subgroups — #10576406

Order 512.

7710 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62812C211yesmaximal, characteristic, complemented
2C2×#3511C211yesmaximal, characteristic, complemented
3#61222C218yesmaximal, complemented
4#61217C214yesmaximal, complemented
5#61215C214yesmaximal, complemented
6#61203C214yesmaximal, complemented
7#61202C214yesmaximal, complemented
8#61200C214yesmaximal, complemented
9#61199C214yesmaximal, complemented
10#61166C214yesmaximal, complemented
11#61165C214yesmaximal, complemented
12#61162C214yesmaximal, complemented
13#61161C214yesmaximal, complemented
14C2×#3141C211yesmaximal, characteristic, complemented
15#60517C212yesmaximal, complemented
16C2×#3079C211yesmaximal, characteristic, complemented
17#60456C212yesmaximal, complemented
18#60415C211yesmaximal, characteristic, complemented
19#60371C212yesmaximal, complemented
20C4×#575C211yesmaximal, characteristic, complemented
21#60144C211yesmaximal, characteristic, complemented
22#60089C212yesmaximal, complemented
23C2×#585C2212yes—
24C2×#575C2211yescharacteristic
25C2×#575C2212yescomplemented
26C2×#568C2212yescomplemented
27#3511—22no—
28#3511—22no—
29#3511—22no—
30#3511—22no—
31#3511C2214yescomplemented
32#3511C2214yescomplemented
33#3511C2214yescomplemented
34#3511C2214yescomplemented
35#3500—22no—
36#3500C2214yescomplemented
37#3499—21no—
38#3499C2212yescomplemented
39#3498—21no—
40#3498C2212yescomplemented
41#3497C2212yescomplemented
42#3497C2212yescomplemented
43#3496—22no—
44#3496—22no—
45#3496C2212yescomplemented
46#3496C2212yescomplemented
47C2×#556C2212yescomplemented
48C2×#555C2212yescomplemented
49C2×#554C2212yescomplemented
50C2×#553—22no—
51D4×#41—22no—
52D4×#41—22no—
53D4×#41C2214yes—
54D4×#41C2214yes—
55C2×#548—22no—
56C2×#547C2212yescomplemented
57C2×#542—22no—
58#3449—22no—
59#3449C2212yes—
60C2×#537C2212yescomplemented
61C2×#533—21no—
62C2×#532—22no—
63C2×#532—21no—
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic, complemented
67C2×#520C2212yescomplemented
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic, complemented
70#3333C2218yescomplemented
71#3332C2218yescomplemented
72#3331C2218yescomplemented
73#3330C2218yescomplemented
74#3329C2218yescomplemented
75#3328C2218yescomplemented
76#3325C2218yescomplemented
77#3324C2218yescomplemented
78#3321C22116yescomplemented
79#3319C22116yescomplemented
80#3316C22116yescomplemented
81#3314C22116yescomplemented
82#3313C22116yescomplemented
83#3311C22116yescomplemented
84#3308C22116yescomplemented
85#3306C22116yescomplemented
86#3305C2218yescomplemented
87#3304C2218yescomplemented
88#3303C2218yescomplemented
89#3302C2218yescomplemented
90#3299C2218yescomplemented
91#3298C2218yescomplemented
92#3295C2218yescomplemented
93#3294C2218yescomplemented
94#3141C2214yescomplemented
95#3141C2214yescomplemented
96#3141C2214yescomplemented
97#3141C2214yescomplemented
98C2×#489C2214yescomplemented
99C2×#487C2212yescomplemented
100C2×#486C2212yescomplemented
101#3099C2218yescomplemented
102#3098C2218yescomplemented
103#3097C2218yescomplemented
104#3096C2218yescomplemented
105#3093C2218yescomplemented
106#3092C2218yescomplemented
107#3079C2214yescomplemented
108#3079C2214yescomplemented
109#3079C2214yescomplemented
110#3079C2214yescomplemented
111C2×#477C2212yescomplemented
112C2×#475C2212yescomplemented
113C2×#476C2212yescomplemented
114C2×#474C2212yescomplemented
115#3063C2218yescomplemented
116#3062C2218yescomplemented
117#3061C2218yescomplemented
118#3060C2218yescomplemented
119#3056C2218yescomplemented
120#3055C2218yescomplemented
121#3040C2214yescomplemented
122#3039C2212yescomplemented
123#3038C2212yescomplemented
124#3037C2212yescomplemented
125#3037C2212yescomplemented
126#3036C2212yescomplemented
127#3036C2212yescomplemented
128#3035C2214yescomplemented
129#3035C2214yescomplemented
130#3013C2218yescomplemented
131#3013C2218yescomplemented
132#3012C2218yescomplemented
133#3012C2218yescomplemented
134#3007C2218yescomplemented
135#3006C2218yescomplemented
136C4×#137C2212yescomplemented
137C4×#137C2212yescomplemented
138C4×#137C2212yescomplemented
139C4×#137C2212yescomplemented
140C4×AGL(1,ℤ/8)C2212yescomplemented
141C4×AGL(1,ℤ/8)C2212yescomplemented
142C4×AGL(1,ℤ/8)C2212yescomplemented
143C4×AGL(1,ℤ/8)C2212yescomplemented
144#2943C2214yescomplemented
145C4×#135C2214yescomplemented
146#2935C2214yescomplemented
147#2935C2214yescomplemented
148D4×M16C2214yescomplemented
149D4×M16C2214yescomplemented
150#2932C2214yescomplemented
151#2931C2214yescomplemented
152#2911C2211yescharacteristic, complemented
153C2×#428C2212yescomplemented
154C2×#423C2211yescharacteristic, complemented
155#2898C2218yescomplemented
156#2898C2218yescomplemented
157#2897C2218yescomplemented
158#2897C2218yescomplemented
159#2896C2211yescharacteristic
160#2896C2211yescharacteristic, complemented
161#2896C2212yescomplemented
162#2896C2218yescomplemented
163C2×#417C2212yes—
164C2×#417C2212yescomplemented
165C2×#417C2212yescomplemented
166C2×#417C2218yescomplemented
167#2879C2212yescomplemented
168C2×C4×M16C2211yescharacteristic, complemented
169#585—216no—
170#585—48no—
171C2×2−1+4—22no—
172C2×2−1+4C2314yes—
173C2×2−1+4C2314yes—
174C2×H(5,𝔽2)—24no—
175C2×H(5,𝔽2)—22no—
176C2×H(5,𝔽2)C2314yes—
177C2×H(5,𝔽2)C2314yes—
178C22×#41—24no—
179C22×#41—24no—
180C22×#41—22no—
181C22×#41C2312yes—
182C22×#41C2311yescharacteristic
183C22×#41C2318yes—
184C22×#41C2311yescharacteristic
185C22×#41C2312yes—
186C23×Q8—21no—
187#575—28no—
188#575—48no—
189C2×#137C2312yes—
190C2×#137C2312yes—
191C2×#137C2314yes—
192C2×#137C2314yes—
193C2×AGL(1,ℤ/8)C2312yes—
194C2×AGL(1,ℤ/8)C2312yes—
195C2×AGL(1,ℤ/8)C2314yes—
196C2×AGL(1,ℤ/8)C2314yes—
197C2×#135C2314yes—
198C2×#135C2318yes—
199#568—48no—
200C2×#131C2318yes—
201C2×#131C2318yes—
202C22×M16C2311yescharacteristic
203C22×M16C2311yescharacteristic
204C22×M16C2312yes—
205C22×M16C2318yes—
206#556—24no—
207#556—24no—
208#556C2318yes—
209#556C2318yes—
210#555—24no—
211#555—24no—
212#555C2318yes—
213#555C2318yes—
214#554—24no—
215#554—24no—
216#554C2318yes—
217#554C2318yes—
218#553—28no—
219#553—28no—
220#553—28no—
221#553—28no—
222#550—22no—
223#550—22no—
224#550C2314yes—
225#550C2314yes—
226D4×Q8—22no—
227D4×Q8—22no—
228D4×Q8C2314yes—
229D4×Q8C2314yes—
230#548—24no—
231#548—24no—
232#548—28no—
233#548—28no—
234#548—28no—
235#548—28no—
236#548C2318yes—
237#548C2318yes—
238#547—22no—
239#547—22no—
240#547—24no—
241#547—24no—
242#547—24no—
243#547—24no—
244#547—24no—
245#547—24no—
246#547C2314yes—
247#547C2314yes—
248#547C2318yes—
249#547C2318yes—
250#546—24no—
251#546—24no—
252#546—28no—
253#546—28no—
254#546—28no—
255#546—28no—
256#546C2318yes—
257#546C2318yes—
258D42—24no—
259D42—24no—
260D42—22no—
261D42—22no—
262D42—24no—
263D42—24no—
264D42C2314yes—
265D42C2314yes—
266#542—28no—
267#542—28no—
268#542—28no—
269#542—28no—
270#537—24no—
271#537—24no—
272#537—24no—
273#537—24no—
274#537C2314yes—
275#537C2314yes—
276#537C2318yes—
277#537C2318yes—
278#536—22no—
279#536—24no—
280#536—24no—
281#536C2314yes—
282#535—22no—
283#535—24no—
284#535—24no—
285#535C2314yes—
286#534—24no—
287#534—24no—
288#534—24no—
289#533—24no—
290#533—24no—
291#533—24no—
292#533—24no—
293#532—24no—
294#532—22no—
295#532—22no—
296#532—24no—
297#532—24no—
298#532—24no—
299#532—24no—
300#532—24no—
301#532—24no—
302#532—24no—
303#532—24no—
304#532—24no—
305#532—21no—
306#532—21no—
307#532—21no—
308#532—21no—
309#532D412yes—
310#532D412yes—
311#532D412yes—
312#532D412yes—
313#532C2312yes—
314#532C2312yes—
315#532C2312yes—
316#532C2312yes—
317#532C2312yes—
318#532C2312yes—
319#532C2312yes—
320#532C2312yes—
321C2×C4⋊Q8—22no—
322C2×C4⋊Q8—21no—
323C2×C4⋊Q8—21no—
324C2×C4⋊Q8—21no—
325C2×C4⋊Q8—21no—
326C2×C4⋊Q8—21no—
327C2×C4⋊Q8—21no—
328C2×C4⋊Q8D411yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×#127—22no—
337C2×#127D411yescharacteristic
338C2×#127C2311yescharacteristic
339C2×#126—24no—
340C2×#125—22no—
341C2×#124—22no—
342C2×#124—24no—
343C2×#124—24no—
344C2×#124D412yes—
345C2×#124C2312yes—
346#525—24no—
347#525—28no—
348#525—28no—
349#525C2318yes—
350C2×#123—24no—
351C2×C22⋊Q8—22no—
352C2×C22⋊Q8—22no—
353C2×C22⋊Q8—24no—
354C2×C22⋊Q8C2314yes—
355C2×#121—22no—
356C2×#121—22no—
357C2×#121—24no—
358C2×#121—21no—
359C2×#121—21no—
360C2×#121—24no—
361C2×#121—24no—
362C2×#121D412yes—
363C2×#121D412yes—
364C2×#121C2314yes—
365#520—24no—
366#520—24no—
367#520C2318yes—
368#520C2318yes—
369C4×#41—21no—
370C4×#41—21no—
371C4×#41—21no—
372C4×#41—21no—
373C4×#41—21no—
374C4×#41—21no—
375C4×#41—21no—
376C4×#41—21no—
377C4×#41C2312yes—
378C4×#41C2312yes—
379C4×#41C2312yes—
380C4×#41C2312yes—
381C4×#41C2312yes—
382C4×#41C2312yes—
383C4×#41C2312yes—
384C4×#41C2312yes—
385C2×C4×Q8—22no—
386C2×C4×Q8—22no—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4—22no—
392C2×C4×D4—24no—
393C2×C4×D4—22no—
394C2×C4×D4—21no—
395C2×C4×D4—21no—
396C2×C4×D4—21no—
397C2×C4×D4—21no—
398C2×C4×D4—24no—
399C2×C4×D4—24no—
400C2×C4×D4—21no—
401C2×C4×D4—21no—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×#117—22no—
409C2×#117—21no—
410C2×#117—21no—
411C2×#117C2314yes—
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C22×C4⋊C4—21no—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C42—21no—
418C22×C42—21no—
419C22×C42C2311yescharacteristic
420#489C23116yes—
421#489C23116yes—
422#487C2318yes—
423#487C2318yes—
424#486C2318yes—
425#486C2318yes—
426#485C23116yes—
427#485C23116yes—
428#484C23116yes—
429#483C23116yes—
430#482C23116yes—
431#482C23116yes—
432#481C23116yes—
433#480C23116yes—
434#477C2318yes—
435#477C2318yes—
436#476C2318yes—
437#476C2318yes—
438#475C2318yes—
439#475C2318yes—
440#474C2318yes—
441#474C2318yes—
442#470C23116yes—
443#469C23116yes—
444#468C23116yes—
445#468C23116yes—
446#467C23116yes—
447#466C23116yes—
448#465C23116yes—
449#465C23116yes—
450#464C2318yes—
451#464C2318yes—
452#463C2318yes—
453#463C2318yes—
454#462C2314yes—
455#462C2314yes—
456#461C2314yes—
457#461C2314yes—
458#460C2314yes—
459#460C2314yes—
460#459C2314yes—
461#459C2314yes—
462#452C23116yes—
463#452C23116yes—
464#451C23116yes—
465#450C23116yes—
466#449C23116yes—
467#449C23116yes—
468#448C23116yes—
469#447C23116yes—
470#442C2314yes—
471#442C2314yes—
472#441C2314yes—
473#441C2314yes—
474#440C2314yes—
475#440C2314yes—
476#440C2314yes—
477#440C2314yes—
478C4×Q16C2314yes—
479C4×Q16C2314yes—
480C4×SD16C2314yes—
481C4×SD16C2314yes—
482C4×SD16C2314yes—
483C4×SD16C2314yes—
484C4×D8C2314yes—
485C4×D8C2314yes—
486#436C2318yes—
487#436C2318yes—
488#435C23116yes—
489#435C23116yes—
490C8×D4C2318yes—
491C8×D4C2318yes—
492#428C2318yes—
493#428C2318yes—
494#428C2312yes—
495#428C2312yes—
496#428C2312yes—
497#428C2312yes—
498#427C2314yes—
499C2×#107C2314yes—
500C2×#106C2314yes—
501#423C2312yes—
502#423C2312yes—
503#423C2312yes—
504#423C2312yes—
505C2×C4⋊C8C2312yes—
506C2×C4⋊C8C2312yes—
507#419C23116yes—
508#419C2314yes—
509#419C2312yes—
510#419C2312yes—
511#418C2314yes—
512#418C2312yes—
513#418C23116yes—
514#418C2312yes—
515#417C23116yes—
516#417C23116yes—
517#417C2318yes—
518#417C2318yes—
519#417C2314yes—
520#417C2318yes—
521#417C2314yes—
522#417C2318yes—
523#417C2318yes—
524#417C2318yes—
525#417C2312yes—
526#417C2312yes—
527#417C2312yes—
528#417C2312yes—
529#416C2318yes—
530#416C2314yes—
531#416C23116yes—
532#416C23116yes—
533#416C2314yes—
534C2×#103C2314yes—
535C2×#103C2314yes—
536C2×#103C2314yes—
537C2×#103C23116yes—
538C2×#102C2314yes—
539C2×#102C2314yes—
540C2×#102C2314yes—
541C2×#102C23116yes—
542#408C2318yes—
543#408C2318yes—
544#407C2318yes—
545C4×M16C2312yes—
546C4×M16C2312yes—
547C4×M16C2312yes—
548C4×M16C2312yes—
549C2×#97C2312yes—
550C2×C4×C8C2312yes—
5512−1+4—216no—
5522−1+4—216no—
5532−1+4—48no—
5542−1+4—48no—
5552−1+4—416no—
556H(5,𝔽2)—216no—
557H(5,𝔽2)—216no—
558H(5,𝔽2)—432no—
559H(5,𝔽2)—48no—
560H(5,𝔽2)—48no—
561H(5,𝔽2)—416no—
562C2×#41—24no—
563C2×#41—24no—
564C2×#41—24no—
565C2×#41—28no—
566C2×#41—28no—
567C2×#41—24no—
568C2×#41—28no—
569C2×#41—28no—
570C2×#41—21no—
571C2×#41—21no—
572C2×#41—21no—
573C2×#41—21no—
574C2×#41—28no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—28no—
578C2×#41—28no—
579C2×#41—28no—
580C2×#41—24no—
581C2×#41—232no—
582C2×#41—24no—
583C2×#41—28no—
584C2×#41—24no—
585C2×#41—28no—
586C2×#41—416no—
587C2×#41—432no—
588C2×#41—432no—
589C2×#41—88no—
590C2×#41C2×D414yes—
591C2×#41C2×D414yes—
592C2×#41#4118yescomplemented
593C2×#41C2412yes—
594C2×#41C2412yes—
595C2×#41C2414yes—
596C2×#41C2414yes—
597C2×#41C2418yes—
598C2×#41C2418yes—
599C2×#41C2412yes—
600C2×#41C2412yes—
601C2×#41C2414yes—
602C2×#41C2414yes—
603C22×Q8—24no—
604C22×Q8—24no—
605C22×Q8—22no—
606C22×Q8—22no—
607C22×Q8—22no—
608C22×Q8—22no—
609C22×Q8—22no—
610C22×Q8—22no—
611C22×Q8—84no—
612C22×Q8C2×D412yes—
613C22×Q8C2411yescharacteristic
614C22×Q8C2412yes—
615C22×Q8C2418yes—
616C22×Q8C2411yescharacteristic
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—22no—
620C22×D4—28no—
621C22×D4—24no—
622C22×D4—28no—
623C22×D4—24no—
624C22×D4—28no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4C2×D414yes—
631C22×D4C2×D412yes—
632C22×D4C2×D412yes—
633C22×D4C2×D412yes—
634C22×D4C2411yescharacteristic
635C22×D4C2412yes—
636C22×D4C2418yes—
637C22×D4C2411yescharacteristic
638C23×C4—21no—
639C23×C4—22no—
640C23×C4—24no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—28no—
644C23×C4—22no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4C2×D411yescharacteristic
649C23×C4C2×D411yescharacteristic
650C23×C4C2414yes—
651C23×C4C2411yescharacteristic
652#137—28no—
653#137—28no—
654#137—48no—
655#137—48no—
656AGL(1,ℤ/8)—28no—
657AGL(1,ℤ/8)—28no—
658AGL(1,ℤ/8)—48no—
659AGL(1,ℤ/8)—48no—
660#135—216no—
661#135—416no—
662C2×Q16C2414yes—
663C2×Q16C2418yes—
664C2×SD16C2414yes—
665C2×SD16C2414yes—
666C2×SD16C2418yes—
667C2×SD16C2418yes—
668C2×D8C2414yes—
669C2×D8C2418yes—
670#131—416no—
671#131—416no—
672C2×M16—24no—
673C2×M16—24no—
674C2×M16—28no—
675C2×M16—416no—
676C2×M16C2412yes—
677C2×M16C2414yes—
678C2×M16C2412yes—
679C2×M16C2414yes—
680C2×M16C2412yes—
681C2×M16C2412yes—
682C2×M16C24116yes—
683C22×C8C2412yes—
684C22×C8C2414yes—
685C22×C8C2412yes—
686C22×C8C24116yes—
687C4⋊Q8—24no—
688C4⋊Q8—24no—
689C4⋊Q8—24no—
690C4⋊Q8—21no—
691C4⋊Q8—22no—
692C4⋊Q8—22no—
693C4⋊Q8—22no—
694C4⋊Q8—22no—
695C4⋊Q8—22no—
696C4⋊Q8—22no—
697C4⋊Q8—22no—
698C4⋊Q8—22no—
699C4⋊Q8—22no—
700C4⋊Q8—22no—
701C4⋊Q8—22no—
702C4⋊Q8—22no—
703C4⋊Q8—21no—
704C4⋊Q8C2×D412yes—
705C4⋊Q8C2×D412yes—
706C4⋊Q8C2×D412yes—
707C4⋊Q8C2×D412yes—
708C4⋊Q8C2412yes—
709C4⋊Q8C2412yes—
710C4⋊Q8C2414yes—
711C4⋊Q8C2414yes—
712C4⋊Q8C2414yes—
713C4⋊Q8C2414yes—
714#127—24no—
715#127—24no—
716#127—24no—
717#127—21no—
718#127—21no—
719#127C2×D412yes—
720#127C2×D412yes—
721#127C2×D412yes—
722#127C2×D412yes—
723#127C2412yes—
724#127C2412yes—
725#126—216no—
726#126—216no—
727#125—28no—
728#125—28no—
729#124—24no—
730#124—24no—
731#124—28no—
732#124—28no—
733#124—28no—
734#124—28no—
735#124—216no—
736#124—216no—
737#124—22no—
738#124—22no—
739#124C2×D414yes—
740#124C2×D414yes—
741#124C2×D414yes—
742#124C2×D414yes—
743#124C2414yes—
744#124C2414yes—
745#123—28no—
746#123—28no—
747#123—28no—
748#123—28no—
749#123—216no—
750#123—216no—
751#123—28no—
752#123—28no—
753C22⋊Q8—28no—
754C22⋊Q8—28no—
755C22⋊Q8—24no—
756C22⋊Q8—24no—
757C22⋊Q8—28no—
758C22⋊Q8—28no—
759C22⋊Q8—28no—
760C22⋊Q8—28no—
761C22⋊Q8—28no—
762C22⋊Q8—216no—
763C22⋊Q8—216no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8C24116yes—
767C22⋊Q8C2418yes—
768C22⋊Q8C2418yes—
769#121—28no—
770#121—28no—
771#121—28no—
772#121—28no—
773#121—24no—
774#121—24no—
775#121—28no—
776#121—28no—
777#121—216no—
778#121—216no—
779#121—28no—
780#121—28no—
781#121—24no—
782#121—24no—
783#121—22no—
784#121—22no—
785#121—22no—
786#121—22no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—28no—
792#121—24no—
793#121—24no—
794#121—28no—
795#121—28no—
796#121—28no—
797#121—28no—
798#121C2×D414yes—
799#121C2×D414yes—
800#121C2×D414yes—
801#121C2×D414yes—
802#121C2×D414yes—
803#121C2×D414yes—
804#121C2×D414yes—
805#121C2×D414yes—
806#121C24116yes—
807#121C2418yes—
808#121C2418yes—
809#120—28no—
810#120—28no—
811#120—28no—
812#120—28no—
813#120—28no—
814#120—28no—
815C4×Q8—28no—
816C4×Q8—28no—
817C4×Q8—28no—
818C4×Q8—28no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8C2412yes—
828C4×Q8C2412yes—
829C4×Q8C2412yes—
830C4×Q8C2412yes—
831C4×Q8C2412yes—
832C4×Q8C2412yes—
833C4×Q8C2412yes—
834C4×Q8C2412yes—
835C4×D4—28no—
836C4×D4—28no—
837C4×D4—216no—
838C4×D4—216no—
839C4×D4—24no—
840C4×D4—24no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—22no—
844C4×D4—22no—
845C4×D4—22no—
846C4×D4—22no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—22no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—22no—
858C4×D4—22no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—24no—
862C4×D4—24no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4C2×D414yes—
882C4×D4C2×D414yes—
883C4×D4C2×D414yes—
884C4×D4C2×D414yes—
885C4×D4C2412yes—
886C4×D4C2412yes—
887C4×D4C2412yes—
888C4×D4C2412yes—
889C4×D4C2412yes—
890C4×D4C2412yes—
891C4×D4C2412yes—
892C4×D4C2412yes—
893C4×D4C2414yes—
894C4×D4C2414yes—
895C4×D4C2414yes—
896C4×D4C2414yes—
897#117—21no—
898#117—21no—
899#117—21no—
900#117—21no—
901#117—28no—
902#117—28no—
903#117—28no—
904#117—22no—
905#117—22no—
906#117—22no—
907#117—22no—
908#117—22no—
909#117—22no—
910#117—22no—
911#117—22no—
912#117C2412yes—
913#117C2412yes—
914#117C2412yes—
915#117C2412yes—
916#117C24116yes—
917C2×C4⋊C4—22no—
918C2×C4⋊C4—22no—
919C2×C4⋊C4—22no—
920C2×C4⋊C4—22no—
921C2×C4⋊C4—22no—
922C2×C4⋊C4—22no—
923C2×C4⋊C4—22no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—22no—
926C2×C4⋊C4—22no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—21no—
929C2×C4⋊C4—21no—
930C2×C4⋊C4—21no—
931C2×C4⋊C4—21no—
932C2×C4⋊C4—21no—
933C2×C4⋊C4—21no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4C2×D412yes—
938C2×C4⋊C4C2×D412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C24116yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C22⋊C4—21no—
948C2×C22⋊C4—24no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—24no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—24no—
956C2×C22⋊C4—22no—
957C2×C22⋊C4—22no—
958C2×C22⋊C4—28no—
959C2×C22⋊C4—28no—
960C2×C22⋊C4C2×D414yes—
961C2×C22⋊C4C2×D414yes—
962C2×C42—21no—
963C2×C42—24no—
964C2×C42—21no—
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42—21no—
969C2×C42—22no—
970C2×C42—22no—
971C2×C42—22no—
972C2×C42—22no—
973C2×C42—22no—
974C2×C42—22no—
975C2×C42—22no—
976C2×C42—22no—
977C2×C42C2×D411yescharacteristic
978C2×C42C2×D411yescharacteristic
979C2×C42C2×D411yescharacteristic
980C2×C42C2×D411yescharacteristic
981C2×C42C2×D411yescharacteristic
982C2×C42C2×D411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989#107C24116yes—
990#107C2414yes—
991#107C2414yes—
992#106C24116yes—
993#106C2414yes—
994#106C2414yes—
995C4⋊C8C2414yes—
996C4⋊C8C2414yes—
997C4⋊C8C2414yes—
998C4⋊C8C2414yes—
999#103C2414yes—
1000#103C24116yes—
1001#103C2418yes—
1002#103C24116yes—
1003#103C24116yes—
1004#103C2414yes—
1005#103C2418yes—
1006#103C2414yes—
1007#103C2414yes—
1008#102C2414yes—
1009#102C24116yes—
1010#102C2418yes—
1011#102C24116yes—
1012#102C24116yes—
1013#102C2414yes—
1014#102C2418yes—
1015#102C2414yes—
1016#102C2414yes—
1017C22⋊C8C24116yes—
1018C22⋊C8C24116yes—
1019#97C2414yes—
1020#97C2414yes—
1021C4×C8C2414yes—
1022C4×C8C2414yes—
1023C24—21no—
1024C24—21no—
1025C24—28no—
1026C24—22no—
1027C24C22×D414yes—
1028C24C22×D411yescharacteristic
1029#41—28no—
1030#41—216no—
1031#41—216no—
1032#41—28no—
1033#41—28no—
1034#41—28no—
1035#41—28no—
1036#41—28no—
1037#41—24no—
1038#41—24no—
1039#41—216no—
1040#41—216no—
1041#41—24no—
1042#41—24no—
1043#41—28no—
1044#41—28no—
1045#41—24no—
1046#41—28no—
1047#41—24no—
1048#41—28no—
1049#41—432no—
1050#41—48no—
1051#41—48no—
1052#41—432no—
1053#41—432no—
1054#41—416no—
1055#41—416no—
1056#41—432no—
1057#41—416no—
1058#41—416no—
1059#41—44no—
1060#41—44no—
1061#41—48no—
1062#41—48no—
1063#41—816no—
1064#41—816no—
1065#41C2×#4118yes—
1066#41C2×#4118yescomplemented
1067C2×Q8—28no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—24no—
1071C2×Q8—24no—
1072C2×Q8—28no—
1073C2×Q8—22no—
1074C2×Q8—24no—
1075C2×Q8—24no—
1076C2×Q8—22no—
1077C2×Q8—216no—
1078C2×Q8—22no—
1079C2×Q8—24no—
1080C2×Q8—22no—
1081C2×Q8—24no—
1082C2×Q8—48no—
1083C2×Q8—416no—
1084C2×Q8—48no—
1085C2×Q8—416no—
1086C2×Q8—84no—
1087C2×Q8—84no—
1088C2×Q8—84no—
1089C2×Q8—84no—
1090C2×Q8—84no—
1091C2×Q8C22×D414yes—
1092C2×Q8C22×D414yes—
1093C2×Q8C2×#4114yescomplemented
1094C2×Q8C2514yes—
1095C2×Q8C2512yes—
1096C2×Q8C2512yes—
1097C2×D4—28no—
1098C2×D4—216no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—216no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—216no—
1111C2×D4—28no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—28no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—48no—
1128C2×D4—416no—
1129C2×D4—432no—
1130C2×D4—416no—
1131C2×D4—432no—
1132C2×D4—432no—
1133C2×D4—44no—
1134C2×D4—48no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—88no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4C22×D414yes—
1141C2×D4C22×D418yes—
1142C2×D4C22×D418yes—
1143C2×D4C22×D414yes—
1144C2×D4C22×D414yes—
1145C2×D4C22×D414yes—
1146C2×D4C22×D414yes—
1147C2×D4C22×D414yes—
1148C2×D4C2×#4114yescomplemented
1149C2×D4C2514yes—
1150C2×D4C2512yes—
1151C2×D4C2512yes—
1152C22×C4—21no—
1153C22×C4—28no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—28no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—216no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—432no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—48no—
1190C22×C4—82no—
1191C22×C4—82no—
1192C22×C4—84no—
1193C22×C4—88no—
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D414yes—
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D418yes—
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C2×#4114yes—
1212C22×C4H(5,𝔽2)14yes—
1213C22×C4C2518yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217Q16—28no—
1218Q16—48no—
1219SD16—28no—
1220SD16—28no—
1221SD16—48no—
1222SD16—48no—
1223D8—28no—
1224D8—48no—
1225M16—24no—
1226M16—24no—
1227M16—24no—
1228M16—28no—
1229M16—24no—
1230M16—28no—
1231M16—416no—
1232C2×C8—24no—
1233C2×C8—24no—
1234C2×C8—28no—
1235C2×C8—416no—
1236C2×C8C2514yes—
1237C2×C8C2514yes—
1238C2×C8C2518yes—
1239C4⋊C4—21no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—216no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—216no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4C22×D414yes—
1267C4⋊C4C22×D414yes—
1268C4⋊C4C22×D414yes—
1269C4⋊C4C22×D414yes—
1270C4⋊C4C2512yes—
1271C4⋊C4C2518yes—
1272C4⋊C4C2512yes—
1273C4⋊C4C2512yes—
1274C4⋊C4C2512yes—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—216no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—216no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—216no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4C22×D418yes—
1299C22⋊C4C22×D418yes—
1300C22⋊C4C22×D418yes—
1301C22⋊C4C22×D418yes—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—216no—
1315C42C22×D411yescharacteristic
1316C42C22×D411yescharacteristic
1317C42C22×D411yescharacteristic
1318C42C22×D411yescharacteristic
1319C42C22×D411yescharacteristic
1320C42C22×D411yescharacteristic
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42C22×D411yescharacteristic
1324C42C22×D411yescharacteristic
1325C42C22×D411yescharacteristic
1326C42C22×D411yescharacteristic
1327C42C2511yescharacteristic
1328C42C2511yescharacteristic
1329C42C2511yescharacteristic
1330C42C2511yescharacteristic
1331C23—22no—
1332C23—28no—
1333C23—24no—
1334C23—22no—
1335C23—24no—
1336C23—41no—
1337C23—41no—
1338C23—44no—
1339C23—44no—
1340C23—416no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—44no—
1345C23—81no—
1346C23—81no—
1347C23—82no—
1348C23—82no—
1349C23—88no—
1350C23—88no—
1351C23#54614yes—
1352C23C23×D418yes—
1353C23C23×D411yescharacteristic
1354C23C23×D411yescharacteristic
1355C23C23×D411yescharacteristic
1356Q8—22no—
1357Q8—24no—
1358Q8—28no—
1359Q8—28no—
1360Q8—22no—
1361Q8—24no—
1362Q8—22no—
1363Q8—24no—
1364Q8—416no—
1365Q8—48no—
1366Q8—48no—
1367Q8—44no—
1368Q8—42no—
1369Q8—84no—
1370Q8—84no—
1371Q8C22×#4114yes—
1372D4—28no—
1373D4—28no—
1374D4—216no—
1375D4—216no—
1376D4—28no—
1377D4—28no—
1378D4—22no—
1379D4—24no—
1380D4—22no—
1381D4—22no—
1382D4—24no—
1383D4—24no—
1384D4—28no—
1385D4—28no—
1386D4—44no—
1387D4—44no—
1388D4—416no—
1389D4—416no—
1390D4—416no—
1391D4—48no—
1392D4—48no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—42no—
1399D4—82no—
1400D4—82no—
1401D4—88no—
1402D4—88no—
1403D4—816no—
1404D4C22×#4114yes—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—28no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—28no—
1415C2×C4—28no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—216no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—28no—
1425C2×C4—24no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—416no—
1433C2×C4—416no—
1434C2×C4—416no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—42no—
1438C2×C4—42no—
1439C2×C4—48no—
1440C2×C4—42no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—48no—
1447C2×C4—48no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—84no—
1455C2×C4—84no—
1456C2×C4—816no—
1457C2×C4#54614yes—
1458C2×C4#54614yes—
1459C2×C4#54614yes—
1460C2×C4C23×D411yescharacteristic
1461C2×C4C23×D411yescharacteristic
1462C2×C4C23×D411yescharacteristic
1463C2×C4C23×D411yescharacteristic
1464C2×C4C23×D418yes—
1465C2×C4C23×D411yescharacteristic
1466C2×C4C23×D411yescharacteristic
1467C2×C4C23×D411yescharacteristic
1468C2×C4C23×D411yescharacteristic
1469C2×C4C23×D411yescharacteristic
1470C2×C4C23×D411yescharacteristic
1471C2×C4C23×D411yescharacteristic
1472C2×C4C22×#4112yes—
1473C2×C4C22×#4112yes—
1474C2×C4C22×#4112yes—
1475C2×C4C2×H(5,𝔽2)12yes—
1476C2×C4C2×H(5,𝔽2)12yes—
1477C2×C4C2×H(5,𝔽2)12yes—
1478C2×C4C2611yescharacteristic
1479C8—24no—
1480C8—24no—
1481C8—28no—
1482C22—21no—
1483C22—21no—
1484C22—21no—
1485C22—21no—
1486C22—21no—
1487C22—21no—
1488C22—28no—
1489C22—28no—
1490C22—24no—
1491C22—28no—
1492C22—44no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—44no—
1497C22—42no—
1498C22—44no—
1499C22—44no—
1500C22—42no—
1501C22—88no—
1502C22—84no—
1503C22—84no—
1504C22—164no—
1505C22—1616no—
1506C22C2×#54612yes—
1507C22C2×#54612yes—
1508C22C2×#54612yes—
1509C22C24×D411yescharacteristic
1510C4—21no—
1511C4—21no—
1512C4—21no—
1513C4—21no—
1514C4—21no—
1515C4—21no—
1516C4—24no—
1517C4—28no—
1518C4—42no—
1519C4—48no—
1520C4—42no—
1521C4—42no—
1522C4—42no—
1523C4—44no—
1524C4—42no—
1525C4C2×#54612yes—
1526C4C2×#54612yes—
1527C4C2×#54612yes—
1528C4#358512yes—
1529C4#358612yes—
1530C4C23×#4111yescharacteristic
1531C4C22×H(5,𝔽2)11yescharacteristic
1532C2—22no—
1533C2—22no—
1534C2—22no—
1535C2—48no—
1536C2—44no—
1537C2—82no—
1538C2—84no—
1539C2C22×#54611yescharacteristic
1540C2C2×#358511yescharacteristic
1541C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#532 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62812C2semidirect
2. C2×#3511C2semidirect
3. #61222C2semidirect
4. #61217C2semidirect
5. #61215C2semidirect
6. #61203C2semidirect
7. #61202C2semidirect
8. #61200C2semidirect
9. #61199C2semidirect
10. #61166C2semidirect
11. #61165C2semidirect
12. #61162C2semidirect
13. #61161C2semidirect
14. C2×#3141C2semidirect
15. #60517C2semidirect
16. C2×#3079C2semidirect
17. #60456C2semidirect
18. #60415C2semidirect
19. #60371C2semidirect
20. C4×#575C2semidirect
21. #60144C2semidirect
22. #60089C2semidirect
25. C2×#575C22semidirect
26. C2×#568C22semidirect
31. #3511C22semidirect
32. #3511C22semidirect
33. #3511C22semidirect
34. #3511C22semidirect
36. #3500C22semidirect
38. #3499C22semidirect
40. #3498C22semidirect
41. #3497C22semidirect
42. #3497C22semidirect
45. #3496C22semidirect
46. #3496C22semidirect
47. C2×#556C22semidirect
48. C2×#555C22semidirect
49. C2×#554C22semidirect
56. C2×#547C22semidirect
60. C2×#537C22semidirect
66. C22×C4⋊Q8C22semidirect
67. C2×#520C22semidirect
69. C2×C4×#41C22semidirect
70. #3333C22semidirect
71. #3332C22semidirect
72. #3331C22semidirect
73. #3330C22semidirect
74. #3329C22semidirect
75. #3328C22semidirect
76. #3325C22semidirect
77. #3324C22semidirect
78. #3321C22semidirect
79. #3319C22semidirect
80. #3316C22semidirect
81. #3314C22semidirect
82. #3313C22semidirect
83. #3311C22semidirect
84. #3308C22semidirect
85. #3306C22semidirect
86. #3305C22semidirect
87. #3304C22semidirect
88. #3303C22semidirect
89. #3302C22semidirect
90. #3299C22semidirect
91. #3298C22semidirect
92. #3295C22semidirect
93. #3294C22semidirect
94. #3141C22semidirect
95. #3141C22semidirect
96. #3141C22semidirect
97. #3141C22semidirect
98. C2×#489C22semidirect
99. C2×#487C22semidirect
100. C2×#486C22semidirect
101. #3099C22semidirect
102. #3098C22semidirect
103. #3097C22semidirect
104. #3096C22semidirect
105. #3093C22semidirect
106. #3092C22semidirect
107. #3079C22semidirect
108. #3079C22semidirect
109. #3079C22semidirect
110. #3079C22semidirect
111. C2×#477C22semidirect
112. C2×#475C22semidirect
113. C2×#476C22semidirect
114. C2×#474C22semidirect
115. #3063C22semidirect
116. #3062C22semidirect
117. #3061C22semidirect
118. #3060C22semidirect
119. #3056C22semidirect
120. #3055C22semidirect
121. #3040C22semidirect
122. #3039C22semidirect
123. #3038C22semidirect
124. #3037C22semidirect
125. #3037C22semidirect
126. #3036C22semidirect
127. #3036C22semidirect
128. #3035C22semidirect
129. #3035C22semidirect
130. #3013C22semidirect
131. #3013C22semidirect
132. #3012C22semidirect
133. #3012C22semidirect
134. #3007C22semidirect
135. #3006C22semidirect
136. C4×#137C22semidirect
137. C4×#137C22semidirect
138. C4×#137C22semidirect
139. C4×#137C22semidirect
140. C4×AGL(1,ℤ/8)C22semidirect
141. C4×AGL(1,ℤ/8)C22semidirect
142. C4×AGL(1,ℤ/8)C22semidirect
143. C4×AGL(1,ℤ/8)C22semidirect
144. #2943C22semidirect
145. C4×#135C22semidirect
146. #2935C22semidirect
147. #2935C22semidirect
148. D4×M16C22semidirect
149. D4×M16C22semidirect
150. #2932C22semidirect
151. #2931C22semidirect
152. #2911C22semidirect
153. C2×#428C22semidirect
154. C2×#423C22semidirect
155. #2898C22semidirect
156. #2898C22semidirect
157. #2897C22semidirect
158. #2897C22semidirect
160. #2896C22semidirect
161. #2896C22semidirect
162. #2896C22semidirect
164. C2×#417C22semidirect
165. C2×#417C22semidirect
166. C2×#417C22semidirect
167. #2879C22semidirect
168. C2×C4×M16C22semidirect
592. C2×#41#41semidirect
1066. #41C2×#41semidirect
1093. C2×Q8C2×#41semidirect
1148. C2×D4C2×#41semidirect

Maximal subgroups

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

subgroupindex
#628122
C2×#35112
#612222
#612172
#612152
#612032
#612022
#612002
#611992
#611662
#611652
#611622
#611612
C2×#31412
#605172
C2×#30792
#604562
#604152
#603712
C4×#5752
#601442
#600892