Finite Group Databasebeta

← #26005297

Subgroups — #26005297

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149222C214yesmaximal, complemented
2#19149212C214yesmaximal, complemented
3#19149204C212yesmaximal, complemented
4#19149195C212yesmaximal, complemented
5#19149163C212yesmaximal, complemented
6#19149157C212yesmaximal, complemented
7#19149051C211yesmaximal, characteristic, complemented
8#19149048C212yesmaximal, complemented
9#19149028C214yesmaximal, complemented
10#19148687C214yesmaximal, complemented
11#19148636C214yesmaximal, complemented
12#19148585C214yesmaximal, complemented
13#19148579C214yesmaximal, complemented
14#19148428C214yesmaximal, complemented
15#19148394C214yesmaximal, complemented
16#19148346C214yesmaximal, complemented
17#19148338C214yesmaximal, complemented
18#19148289C214yesmaximal, complemented
19C2×#14583455C211yesmaximal, characteristic, complemented
20#529×D43C212yesmaximal, complemented
21C43×#3553C211yesmaximal, characteristic, complemented
22C43⋊#564C2211yescharacteristic, complemented
23C43⋊#564C2212yescomplemented
24#14583653C2212yescomplemented
25#14583653C2212yescomplemented
26#14583653C2214yescomplemented
27#14583652C2214yescomplemented
28#14583651C2214yescomplemented
29#14583650C2214yescomplemented
30#14583649C2212yescomplemented
31#14583647C2211yescharacteristic, complemented
32#14583643C2212yescomplemented
33#14583626C2214yescomplemented
34#14583626C2214yescomplemented
35#14583624C2214yescomplemented
36#14583621C2214yescomplemented
37#14583620C2214yescomplemented
38#14583620C2214yescomplemented
39#14583619C2214yescomplemented
40#14583616C2214yescomplemented
41#14583616C2214yescomplemented
42#14583616C2214yescomplemented
43#14583609C2214yescomplemented
44#14583608C2214yescomplemented
45#14583608C2214yescomplemented
46#14583605C2214yescomplemented
47#14583605C2214yescomplemented
48#14583604C2214yescomplemented
49#14583604C2214yescomplemented
50#14583603C2214yescomplemented
51#14583603C2214yescomplemented
52#14583603C2214yescomplemented
53#14583603C2214yescomplemented
54#14583598C2214yescomplemented
55#14583598C2214yescomplemented
56#14583597C2214yescomplemented
57#14583592C2214yescomplemented
58#14583592C2214yescomplemented
59#14583588C2214yescomplemented
60#14583588C2214yescomplemented
61#14583587C2214yescomplemented
62#14583587C2214yescomplemented
63#14583586C2214yescomplemented
64#14583586C2214yescomplemented
65#14583585C2214yescomplemented
66#14583585C2214yescomplemented
67#14583585C2214yescomplemented
68#14583584C2214yescomplemented
69#14583583C2214yescomplemented
70#14583583C2214yescomplemented
71#14583582C2214yescomplemented
72#14583581C2214yescomplemented
73#14583581C2214yescomplemented
74#14583581C2214yescomplemented
75#14583581C2214yescomplemented
76#14583581C2214yescomplemented
77#14583581C2214yescomplemented
78#14583578C2214yescomplemented
79#14583577C2214yescomplemented
80#14583577C2214yescomplemented
81#14583577C2214yescomplemented
82#14583576C2214yescomplemented
83#14583576C2214yescomplemented
84#14583574C2214yescomplemented
85#14583574C2214yescomplemented
86#14583574C2214yescomplemented
87#14583573C2214yescomplemented
88#14583572C2214yescomplemented
89#14583572C2214yescomplemented
90D4×Dic86C2214yescomplemented
91#14583564C2214yescomplemented
92#14583562C2214yescomplemented
93#14583562C2214yescomplemented
94#14583562C2214yescomplemented
95#14583559C2214yescomplemented
96#14583558C2214yescomplemented
97#14583555C2214yescomplemented
98#14583555C2214yescomplemented
99#14583547C2214yescomplemented
100#14583541C2214yescomplemented
101#14583538C2214yescomplemented
102#14583529C2214yescomplemented
103#14583529C2214yescomplemented
104#14583528C2214yescomplemented
105#14583526C2214yescomplemented
106#14583524C2214yes—
107#14583524C2214yescomplemented
108#14583524C2214yescomplemented
109#14583523C2214yescomplemented
110#14583519C2214yescomplemented
111#14583519C2214yescomplemented
112#14583517C2214yescomplemented
113#14583517C2214yescomplemented
114#14583517C2214yescomplemented
115#14583516C2214yescomplemented
116#14583515C2214yescomplemented
117#14583512C2214yescomplemented
118#14583509C2214yescomplemented
119#14583508C2214yescomplemented
120#14583508C2214yescomplemented
121#14583508C2214yescomplemented
122#14583508C2214yescomplemented
123#14583507C2214yescomplemented
124#14583506C2214yescomplemented
125#14583506C2214yescomplemented
126#14583506C2214yescomplemented
127#14583506C2214yescomplemented
128#14583497C2214yes—
129#14583497C2214yescomplemented
130#14583496C2214yescomplemented
131#14583493C2214yescomplemented
132#14583493C2214yescomplemented
133#14583492C2214yes—
134#14583491C2214yescomplemented
135#14583490C2214yescomplemented
136#14583488C2214yes—
137#14583481C2214yes—
138#14583472C2214yescomplemented
139#14583471C2214yescomplemented
140#14583457C2214yes—
141#14583455C2212yescomplemented
142#14583455C2212yescomplemented
143#14583455C2214yescomplemented
144#14583455C2214yescomplemented
145#14583455C2212yescomplemented
146#14583455C2212yescomplemented
147#14583455C2214yescomplemented
148#14583453C2214yescomplemented
149C2×#13063324C2212yescomplemented
150#14583436C2212yes—
151#14583435C2214yescomplemented
152#14583435C2212yescomplemented
153#14583434C2212yes—
154#14583433C2212yescomplemented
155#14583432C2214yes—
156#14583432C2214yes—
157#14583431C2212yes—
158#14583430C2214yescomplemented
159#14583430C2212yescomplemented
160#14583429C2214yescomplemented
161#14583429C2214yescomplemented
162#14583429C2214yescomplemented
163#14583428C2212yes—
164#14583427C2214yes—
165#14583427C2214yes—
166#14583426C2214yescomplemented
167#126×D43C2214yescomplemented
168C2×#13063317C2211yescharacteristic, complemented
169#125×D43C2212yescomplemented
170#124×D43C2212yescomplemented
171#14583408C2214yes—
172#14583407C2214yes—
173#123×D43C2214yes—
174C2×#13063303C2214yes—
175C2×#13063303C2214yescomplemented
176C22⋊Q8×D43C2212yes—
177C22⋊Q8×D43C2214yescomplemented
178#121×D43C2212yes—
179#14583380C2214yescomplemented
180#14583378C2214yescomplemented
181#14583376C2214yescomplemented
182#14583375C2214yescomplemented
183#14583371C2214yes—
184#14583371C2214yes—
185C2×#13063290C2214yescomplemented
186C4×Q8×D43C2212yescomplemented
187C4×D4×D43C2214yes—
188C4×D4×D43C2212yescomplemented
189C2×#13063283C2212yes—
190#117×D43C2214yescomplemented
191C2×C42×D43C2211yescharacteristic
192C43×#564C2211yescharacteristic, complemented
193C43×#563C2212yescomplemented
194C43×#562C2211yescharacteristic, complemented
195C43×#554C2214yescomplemented
196C43×#553C2214yescomplemented
197C43×#552C2214yescomplemented
198C43×#541C2214yescomplemented
199C43×#539C2214yescomplemented
200C43×#539C2214yescomplemented
201C43×#529C2212yescomplemented
202C2×#125×C43C2211yescharacteristic, complemented
203C2×#10621898C2314yes—
204C2×#10621900C2314yes—
205C22×Dic86C2314yes—
206C22×Dic86C2314yes—
207C2×Q8×D43C2314yes—
208C2×Q8×D43C2312yes—
209C2×D4×D43C2314yes—
210C2×D4×D43C2312yes—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2312yes—
213C22×C4×D43C2314yes—
214#13063325C2314yes—
215#13063324C2314yes—
216#13063324C2314yes—
217#13063324C2314yes—
218#13063324C2314yes—
219#13063324C2314yes—
220#13063324C2314yes—
221#13063324C2314yes—
222#13063324C2314yes—
223#13063324C2314yes—
224#13063324C2312yes—
225#13063324C2312yes—
226#13063324C2312yes—
227#13063324C2312yes—
228#13063323C2314yes—
229#13063323C2314yes—
230#13063323C2314yes—
231#13063320C2314yes—
232#13063320C2314yes—
233#13063320C2314yes—
234#13063320C2314yes—
235#13063320C2314yes—
236#13063320C2314yes—
237#13063320C2314yes—
238#13063320C2314yes—
239#13063320C2314yes—
240#13063320C2314yes—
241#13063320C2314yes—
242#13063320C2314yes—
243#13063320C2314yes—
244#13063320C2314yes—
245#13063320C2314yes—
246#13063319C2314yes—
247#13063319C2314yes—
248#13063319C2314yes—
249#13063318C2314yes—
250#13063318C2314yes—
251#13063318C2314yes—
252#13063318C2314yes—
253#13063318C2314yes—
254#13063318C2314yes—
255#13063318C2314yes—
256#13063318C2314yes—
257#13063318C2314yes—
258#13063318C2314yes—
259#13063318C2314yes—
260#13063318C2314yes—
261#13063318C2314yes—
262#13063317C2311yescharacteristic
263#13063317C2311yescharacteristic
264#13063317C2314yes—
265#13063317C2314yes—
266#13063317C2312yes—
267#13063317C2312yes—
268#13063317C2314yes—
269#13063316C2314yes—
270#13063316C2314yes—
271#13063316C2314yes—
272#13063316C2314yes—
273#13063316C2314yes—
274#13063316C2314yes—
275#13063316C2314yes—
276#13063316C2312yes—
277#13063316C2312yes—
278#13063315C2314yes—
279#13063315C2314yes—
280#13063315C2314yes—
281#13063315C2314yes—
282#13063315C2314yes—
283#13063315C2314yes—
284#13063315C2314yes—
285#13063315C2314yes—
286#13063315C2314yes—
287#13063315C2314yes—
288#13063315C2314yes—
289#13063315C2314yes—
290#13063315C2314yes—
291#13063315C2314yes—
292#13063315C2314yes—
293#13063315C2314yes—
294#13063315C2314yes—
295#13063315C2314yes—
296#13063314C2314yes—
297#13063314C2312yes—
298#13063313C2314yes—
299#13063313C2312yes—
300#13063312C2314yes—
301#13063312C2314yes—
302#13063312C2312yes—
303#13063311C2314yes—
304#13063311C2314yes—
305#13063311C2314yes—
306#13063311C2314yes—
307#13063311C2314yes—
308#13063311C2314yes—
309#13063311C2314yes—
310#13063311C2314yes—
311#13063310C2314yes—
312#13063310C2314yes—
313#13063310C2314yes—
314#13063310C2314yes—
315#13063310C2314yes—
316#13063310C2314yes—
317#13063310C2314yes—
318#13063310C2314yes—
319#13063310C2314yes—
320#13063310C2314yes—
321#13063309C2314yes—
322#13063309C2314yes—
323#13063309C2314yes—
324#13063308C2314yes—
325#13063308C2314yes—
326#13063308C2314yes—
327#13063307C2314yes—
328#13063307C2314yes—
329#13063307C2314yes—
330#13063307C2314yes—
331#13063307C2314yes—
332#13063307C2314yes—
333#13063307C2314yes—
334#13063307C2314yes—
335#13063306C2314yes—
336#13063306C2314yes—
337#13063306C2314yes—
338#13063305C2314yes—
339#13063305C2314yes—
340#13063305C2314yes—
341#13063305C2314yes—
342#13063305C2314yes—
343#13063305C2314yes—
344#13063305C2314yes—
345#13063305C2312yes—
346#13063304C2314yes—
347#13063304C2314yes—
348#13063304C2314yes—
349#13063304C2314yes—
350#13063304C2312yes—
351#13063304C2314yes—
352#13063303C2314yes—
353#13063303C2314yes—
354#13063303C2314yes—
355#13063303C2314yes—
356#13063303C2314yes—
357#13063303C2314yes—
358#13063303C2314yes—
359#13063303C2314yes—
360#13063303C2314yes—
361#13063303C2314yes—
362#13063303C2314yes—
363#13063303C2314yes—
364#13063303C2314yes—
365#13063303C2314yes—
366#13063303C2314yes—
367#13063303C2314yes—
368#13063303C2314yes—
369#13063303C2314yes—
370#13063303C2314yes—
371#13063303C2314yes—
372#13063303C2314yes—
373#13063303C2314yes—
374#13063303C2314yes—
375#13063303C2314yes—
376#13063303C2314yes—
377#13063302C2314yes—
378#13063302C2314yes—
379#13063302C2314yes—
380#13063302C2314yes—
381#13063302C2314yes—
382#13063302C2314yes—
383#13063302C2314yes—
384#13063302C2314yes—
385#13063302C2314yes—
386#13063302C2314yes—
387#13063302C2314yes—
388#13063302C2314yes—
389#13063302C2314yes—
390#13063301C2314yes—
391#13063301C2314yes—
392#13063301C2314yes—
393#13063301C2314yes—
394#13063301C2312yes—
395#13063300C2314yes—
396#13063300C2312yes—
397#13063299C2314yes—
398#13063299C2312yes—
399#13063298C2314yes—
400#13063298C2314yes—
401#13063298C2314yes—
402#13063297C2314yes—
403#13063297C2314yes—
404#13063297C2314yes—
405#13063297C2314yes—
406#13063297C2314yes—
407#13063296C2312yes—
408#13063295C2314yes—
409#13063295C2314yes—
410#13063293C2314yes—
411#13063293C2314yes—
412Q8×Dic43C2314yes—
413Q8×Dic43C2312yes—
414C4×Dic86C2314yes—
415C4×Dic86C2314yes—
416C4×Dic86C2314yes—
417C4×Dic86C2314yes—
418C4×Dic86C2314yes—
419C4×Dic86C2314yes—
420C4×Dic86C2314yes—
421C4×Dic86C2312yes—
422#13063290C2314yes—
423#13063290C2314yes—
424#13063290C2314yes—
425#13063290C2314yes—
426#13063290C2314yes—
427#13063290C2314yes—
428#13063290C2314yes—
429#13063290C2314yes—
430#13063290C2314yes—
431#13063290C2314yes—
432#13063290C2314yes—
433#13063290C2312yes—
434#13063290C2314yes—
435#13063290C2314yes—
436#13063290C2314yes—
437#13063290C2314yes—
438C4×D172C2314yes—
439C4×D172C2314yes—
440C4×D172C2314yes—
441C4×D172C2312yes—
442D4×Dic43C2312yes—
443D4×Dic43C2314yes—
444D4×Dic43C2314yes—
445D4×Dic43C2314yes—
446D4×Dic43C2314yes—
447#13063287C2312yes—
448#13063287C2314yes—
449#13063287C2314yes—
450#13063287C2314yes—
451#13063287C2314yes—
452#13063287C2314yes—
453C4×C22⋊D43C2314yes—
454C4×C22⋊D43C2314yes—
455C4×C22⋊D43C2314yes—
456C4×C22⋊D43C2314yes—
457C4×C22⋊D43C2314yes—
458C4×C22⋊D43C2314yes—
459C4×C22⋊D43C2314yes—
460C4×C22⋊D43C2314yes—
461C4×C22⋊D43C2314yes—
462C4×C22⋊D43C2314yes—
463C4×C22⋊D43C2314yes—
464(C22⋊D43)⋊C4C2314yes—
465(C22⋊D43)⋊C4C2314yes—
466(C22⋊D43)⋊C4C2314yes—
467(C22⋊D43)⋊C4C2314yes—
468(C22⋊D43)⋊C4C2314yes—
469(C22⋊D43)⋊C4C2314yes—
470(C22⋊D43)⋊C4C2314yes—
471(C22⋊D43)⋊C4C2314yes—
472(C22⋊D43)⋊C4C2314yes—
473#13063284C2314yes—
474#13063284C2314yes—
475#13063284C2314yes—
476#13063283C2312yes—
477#13063283C2314yes—
478#13063283C2312yes—
479#13063283C2314yes—
480#13063283C2312yes—
481#13063283C2314yes—
482#13063283C2312yes—
483#13063283C2314yes—
484#13063283C2314yes—
485#13063283C2314yes—
486#13063283C2314yes—
487#13063283C2314yes—
488#13063283C2314yes—
489#13063282C2314yes—
490#13063282C2314yes—
491#13063282C2314yes—
492#13063282C2314yes—
493#13063282C2314yes—
494#13063282C2314yes—
495#13063282C2314yes—
496#13063282C2314yes—
497#13063281C2314yes—
498#13063281C2314yes—
499#13063281C2314yes—
500#13063281C2314yes—
501#13063281C2314yes—
502#13063281C2314yes—
503C2×C4⋊Dic43C2312yes—
504C2×Dic43⋊C4C2314yes—
505C2×Dic43⋊C4C2314yes—
506C2×Dic43⋊C4C2314yes—
507C2×Dic43⋊C4C2314yes—
508C4⋊C4×D43C2312yes—
509C4⋊C4×D43C2314yes—
510C4⋊C4×D43C2314yes—
511C4⋊C4×D43C2314yes—
512C4⋊C4×D43C2314yes—
513C4⋊C4×D43C2314yes—
514C4⋊C4×D43C2312yes—
515C4⋊C4×D43C2314yes—
516C4⋊C4×D43C2314yes—
517C2×(C2×D43)⋊C4C2314yes—
518C2×(C2×D43)⋊C4C2314yes—
519C2×(C2×D43)⋊C4C2314yes—
520C22⋊C4×D43C2314yes—
521C22⋊C4×D43C2314yes—
522C22⋊C4×D43C2314yes—
523C22⋊C4×D43C2314yes—
524C22⋊C4×D43C2314yes—
525C22⋊C4×D43C2314yes—
526C22⋊C4×D43C2314yes—
527C2×C4×Dic43C2312yes—
528C2×C4×Dic43C2311yescharacteristic
529C2×C4×Dic43C2314yes—
530C42×D43C2312yes—
531C42×D43C2312yes—
532C42×D43C2312yes—
533C42×D43C2312yes—
534C42×D43C2314yes—
535C4⋊Q8×C43C2314yes—
536#126×C43C2314yes—
537#126×C43C2314yes—
538#126×C43C2314yes—
539#126×C43C2314yes—
540#126×C43C2314yes—
541#125×C43C2312yes—
542#125×C43C2314yes—
543#125×C43C2314yes—
544#125×C43C2314yes—
545#125×C43C2314yes—
546#125×C43C2314yes—
547#125×C43C2314yes—
548#125×C43C2311yescharacteristic
549#125×C43C2311yescharacteristic
550#125×C43C2312yes—
551#124×C43C2312yes—
552#123×C43C2314yes—
553#123×C43C2314yes—
554#123×C43C2314yes—
555#123×C43C2314yes—
556#123×C43C2314yes—
557C22⋊Q8×C43C2314yes—
558C22⋊Q8×C43C2314yes—
559C22⋊Q8×C43C2314yes—
560C22⋊Q8×C43C2314yes—
561C22⋊Q8×C43C2314yes—
562C22⋊Q8×C43C2312yes—
563C22⋊Q8×C43C2314yes—
564#121×C43C2314yes—
565#121×C43C2314yes—
566#121×C43C2312yes—
567C4×Q8×C43C2312yes—
568C4×Q8×C43C2314yes—
569C4×D4×C43C2314yes—
570C4×D4×C43C2314yes—
571C4×D4×C43C2314yes—
572C4×D4×C43C2312yes—
573C4×D4×C43C2314yes—
574#117×C43C2314yes—
575#117×C43C2314yes—
576C2×C4⋊C4×C43C2312yes—
577C2×C4⋊C4×C43C2314yes—
578C2×C4⋊C4×C43C2314yes—
579C2×C42×C43C2311yescharacteristic
580C23×D43C2414yes—
581C23×D43C2411yescharacteristic
582C2×Q8×C43C2414yes—
583C2×Q8×C43C2412yes—
584C2×D4×C43C2414yes—
585C2×D4×C43C2414yes—
586C2×D4×C43C2412yes—
587C22×C4×C43C2411yescharacteristic
588C22×C4×C43C2412yes—
589C22×C4×C43C2414yes—
590C22×C4×C43C2414yes—
591C22×C4×C43C2414yes—
592C22×C4×C43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C2×C22⋊D43C2414yes—
597C2×C22⋊D43C2414yes—
598C22×Dic43C2411yescharacteristic
599C22×Dic43C2412yes—
600C22×Dic43C2414yes—
601C22×Dic43C2414yes—
602C22×Dic43C2414yes—
603C22×Dic43C2414yes—
604Q8×D43—48no—
605Q8×D43—44no—
606#10621900—48no—
607D4×D43—216no—
608D4×D43—44no—
609#10621898—48no—
610C2×D172C2414yes—
611C2×D172C2414yes—
612C2×D172C2412yes—
613C2×C4×D43—24no—
614C2×C4×D43—44no—
615C2×C4×D43—48no—
616C2×C4×D43C2412yes—
617C2×C4×D43C2412yes—
618C2×C4×D43C2412yes—
619C2×C4×D43C2412yes—
620C2×C4×D43C2414yes—
621C2×C4×D43C2414yes—
622C2×C4×D43C2412yes—
623C2×C4×D43C2412yes—
624C2×C4×D43C2414yes—
625C2×C4×D43C2414yes—
626C2×C4×D43C2414yes—
627C2×C4×D43C2414yes—
628C2×C4×D43C2414yes—
629C2×C4×D43C2414yes—
630C2×C4×D43C2414yes—
631C2×Dic86—48no—
632C2×Dic86—48no—
633C2×Dic86C2414yes—
634C2×Dic86C2414yes—
635C2×Dic86C2414yes—
636C2×Dic86C2414yes—
637C2×Dic86C2414yes—
638C2×Dic86C2414yes—
639C2×Dic86C2414yes—
640C2×Dic86C2412yes—
641C2×Dic86C2414yes—
642C4⋊C4×C43C2414yes—
643C4⋊C4×C43C2414yes—
644C4⋊C4×C43C2414yes—
645C4⋊C4×C43C2414yes—
646C4⋊C4×C43C2414yes—
647C4⋊C4×C43C2412yes—
648C4⋊C4×C43C2414yes—
649C4⋊C4×C43C2414yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2412yes—
652C4⋊C4×C43C2414yes—
653C4⋊C4×C43C2414yes—
654C4⋊C4×C43C2412yes—
655C4⋊C4×C43C2414yes—
656C4⋊C4×C43C2414yes—
657C4⋊C4×C43C2414yes—
658C4⋊C4×C43C2412yes—
659C4⋊C4×C43C2414yes—
660C4⋊C4×C43C2414yes—
661C22⋊C4×C43C2414yes—
662C22⋊C4×C43C2414yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2414yes—
665C22⋊C4×C43C2414yes—
666C22⋊C4×C43C2414yes—
667C22⋊C4×C43C2414yes—
668C22⋊C4×C43C2414yes—
669C22⋊C4×C43C2414yes—
670C42×C43C2411yescharacteristic
671C42×C43C2412yes—
672C42×C43C2411yescharacteristic
673C42×C43C2414yes—
674C42×C43C2414yes—
675C42×C43C2414yes—
676C22⋊Dic43C2414yes—
677C22⋊Dic43C2414yes—
678C22⋊Dic43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2414yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685(C2×D43)⋊C4C2414yes—
686(C2×D43)⋊C4C2414yes—
687(C2×D43)⋊C4C2414yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2414yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2414yes—
703(C2×D43)⋊C4C2414yes—
704(C2×D43)⋊C4C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707C4⋊Dic43C2414yes—
708C4⋊Dic43C2414yes—
709C4⋊Dic43C2414yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2412yes—
712C4⋊Dic43C2414yes—
713C4⋊Dic43C2414yes—
714C4⋊Dic43C2412yes—
715C4⋊Dic43C2412yes—
716C4⋊Dic43C2414yes—
717C4⋊Dic43C2412yes—
718C4⋊Dic43C2414yes—
719C4⋊Dic43C2414yes—
720C4⋊Dic43C2414yes—
721C4⋊Dic43C2414yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2414yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2414yes—
726Dic43⋊C4C2414yes—
727Dic43⋊C4C2414yes—
728Dic43⋊C4C2414yes—
729Dic43⋊C4C2414yes—
730Dic43⋊C4C2414yes—
731Dic43⋊C4C2414yes—
732Dic43⋊C4C2414yes—
733Dic43⋊C4C2414yes—
734Dic43⋊C4C2414yes—
735Dic43⋊C4C2414yes—
736Dic43⋊C4C2414yes—
737Dic43⋊C4C2414yes—
738Dic43⋊C4C2414yes—
739Dic43⋊C4C2414yes—
740Dic43⋊C4C2414yes—
741Dic43⋊C4C2414yes—
742Dic43⋊C4C2414yes—
743Dic43⋊C4C2414yes—
744Dic43⋊C4C2414yes—
745Dic43⋊C4C2414yes—
746Dic43⋊C4C2414yes—
747Dic43⋊C4C2414yes—
748Dic43⋊C4C2414yes—
749Dic43⋊C4C2414yes—
750Dic43⋊C4C2414yes—
751Dic43⋊C4C2414yes—
752C4×Dic43C2412yes—
753C4×Dic43C2412yes—
754C4×Dic43C2412yes—
755C4×Dic43C2411yescharacteristic
756C4×Dic43C2412yes—
757C4×Dic43C2412yes—
758C4×Dic43C2411yescharacteristic
759C4×Dic43C2414yes—
760C4×Dic43C2414yes—
761C4×Dic43C2414yes—
762C4×Dic43C2414yes—
763C4×Dic43C2414yes—
764C4×Dic43C2414yes—
765C4×Dic43C2414yes—
766C4×Dic43C2414yes—
767C4×Dic43C2414yes—
768C4×Dic43C2414yes—
769C4×Dic43C2414yes—
770C4×Dic43C2414yes—
771C4×Dic43C2414yes—
772C23×C43C2514yes—
773C23×C43C2511yescharacteristic
774C22×D43—28no—
775C22×D43—42no—
776C22×D43—44no—
777C22×D43—44no—
778C22×D432−1+414yes—
779C22×D43C2514yes—
780C22×D43C2512yes—
781Q8×C43—42no—
782Q8×C43—44no—
783D4×C43—28no—
784D4×C43—42no—
785D4×C43—44no—
786C2×C4×C43—22no—
787C2×C4×C43—44no—
788C2×C4×C43—44no—
789C2×C4×C43—44no—
790C2×C4×C43—42no—
791C2×C4×C43—44no—
792C2×C4×C43C2512yes—
793C2×C4×C43C2514yes—
794C2×C4×C43C2514yes—
795C2×C4×C43C2514yes—
796C2×C4×C43C2512yes—
797C2×C4×C43C2511yescharacteristic
798C2×C4×C43C2511yescharacteristic
799C2×C4×C43C2514yes—
800C2×C4×C43C2514yes—
801C22⋊D43—28no—
802C22⋊D43—28no—
803C22⋊D43—28no—
804C22⋊D43—44no—
805C22⋊D43—44no—
806C2×Dic43—22no—
807C2×Dic43—24no—
808C2×Dic43—28no—
809C2×Dic43—44no—
810C2×Dic43—44no—
811C2×Dic43—44no—
812C2×Dic43C2512yes—
813C2×Dic43C2514yes—
814C2×Dic43C2514yes—
815C2×Dic43C2514yes—
816C2×Dic43C2514yes—
817C2×Dic43C2512yes—
818C2×Dic43C2514yes—
819C2×Dic43C2512yes—
820D172—28no—
821D172—44no—
822D172—42no—
823C4×D43—24no—
824C4×D43—24no—
825C4×D43—28no—
826C4×D43—24no—
827C4×D43—28no—
828C4×D43—24no—
829C4×D43—42no—
830C4×D43—42no—
831C4×D43—44no—
832C4×D43—44no—
833C4×D43—44no—
834C4×D43—44no—
835C4×D43—44no—
836C4×D43—44no—
837C4×D43—44no—
838Dic86—28no—
839Dic86—28no—
840Dic86—28no—
841Dic86—44no—
842Dic86—44no—
843Dic86—44no—
844Dic86—44no—
845Dic86—42no—
846Dic86—44no—
847#62823—431nomaximal, Sylow
848C22×C43—22no—
849C22×C43—24no—
850C22×C43—24no—
851C22×C43—24no—
852C22×C43C2×2−1+412yes—
853C22×C43C2611yescharacteristic
854C2×D43—22no—
855C2×D43—22no—
856C2×D43—24no—
857C2×D43—24no—
858C2×D43—24no—
859C2×D43—44no—
860C2×D43—88no—
861C2×D43C2×2−1+414yes—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—24no—
865C4×C43—24no—
866C4×C43—24no—
867C4×C43—24no—
868C4×C43—24no—
869C4×C43—22no—
870C4×C43—22no—
871Dic43—22no—
872Dic43—24no—
873Dic43—24no—
874Dic43—24no—
875Dic43—24no—
876Dic43—22no—
877Dic43—24no—
878Dic43#58514yes—
879#3564—434no—
880#3564—434no—
881#3563—432no—
882#3563—432no—
883#3561—432no—
884#3561—432no—
885#3553—432no—
886#3553—431no—
887#3553D4311yescharacteristic, complemented
888#3552—434no—
889#3523—434no—
890#3520—434no—
891#3516—434no—
892#3516—434no—
893#3505—434no—
894#3501—434no—
895#3495—434no—
896#3495—434no—
897#3491—434no—
898C2×#533—431no—
899C2×#529—432no—
900C2×C43—22no—
901C2×C43—44no—
902C2×C43C22×2−1+411yescharacteristic
903C2×C43C2×#58512yes—
904D43—24no—
905D43—44no—
906#564—432no—
907#564—431no—
908#564C2×D4311yescharacteristic, complemented
909#563—434no—
910#563—434no—
911#563—432no—
912#563—432no—
913#563—432no—
914#563—434no—
915#563—434no—
916#563C2×D4312yescomplemented
917#562—431no—
918#562—432no—
919#562C2×D4311yescharacteristic, complemented
920#557—434no—
921#557—434no—
922#557—434no—
923#556—434no—
924#556—434no—
925#556—434no—
926#556—434no—
927#556—434no—
928#556—434no—
929#556—434no—
930#554—434no—
931#554—434no—
932#554—434no—
933#554—434no—
934#554—434no—
935#554—434no—
936#554—434no—
937#554—434no—
938#554—434no—
939#554—434no—
940#554—434no—
941#554C2×D4314yescomplemented
942#553—434no—
943#553—434no—
944#553—434no—
945#553—434no—
946#553—434no—
947#553C2×D4314yescomplemented
948#552—434no—
949#552—434no—
950#552—434no—
951#552—434no—
952#552—434no—
953#552—434no—
954#552—434no—
955#552—434no—
956#552—434no—
957#552—434no—
958#552—434no—
959#552—434no—
960#552—434no—
961#552—434no—
962#552—434no—
963#552—434no—
964#552—434no—
965#552—434no—
966#552—434no—
967#552C2×D4314yescomplemented
968#551—434no—
969#551—434no—
970#551—434no—
971#551—434no—
972#551—434no—
973#551—434no—
974#551—434no—
975#551—434no—
976#551—434no—
977#551—434no—
978#551—434no—
979#551—434no—
980D4×Q8—434no—
981D4×Q8—434no—
982D4×Q8—434no—
983D4×Q8—434no—
984D4×Q8—434no—
985#548—434no—
986#548—434no—
987#548—434no—
988#548—434no—
989#547—434no—
990#546—434no—
991#546—434no—
992#544—434no—
993#544—434no—
994#544—434no—
995#544—434no—
996#543—434no—
997#543—434no—
998#543—434no—
999#542—434no—
1000#542—434no—
1001#542—434no—
1002#542—434no—
1003#542—434no—
1004#542—434no—
1005#542—434no—
1006#542—434no—
1007#541—434no—
1008#541—434no—
1009#541—434no—
1010#541—434no—
1011#541—434no—
1012#541—434no—
1013#541—434no—
1014#541—434no—
1015#541—434no—
1016#541—434no—
1017#541—434no—
1018#541C2×D4314yescomplemented
1019#539—434no—
1020#539—434no—
1021#539—434no—
1022#539—434no—
1023#539—434no—
1024#539—434no—
1025#539—434no—
1026#539—434no—
1027#539C2×D4314yescomplemented
1028#539C2×D4314yescomplemented
1029#538—434no—
1030#538—434no—
1031#536—434no—
1032#536—434no—
1033#534—434no—
1034#533—432no—
1035#533—432no—
1036#533—434no—
1037#533—432no—
1038#533—432no—
1039#533—434no—
1040#533—434no—
1041#533—434no—
1042C2×C4⋊Q8—432no—
1043#529—434no—
1044#529—434no—
1045#529—432no—
1046#529—432no—
1047#529—434no—
1048#529—432no—
1049#529—434no—
1050#529—432no—
1051#529—434no—
1052#529—432no—
1053#529—434no—
1054#529—432no—
1055#529—434no—
1056#529—434no—
1057#529—434no—
1058#529—434no—
1059#529—432no—
1060#529C2×D4312yescomplemented
1061C2×#126—434no—
1062C2×#125—432no—
1063C2×#125—431no—
1064C2×#125C2×D4311yescharacteristic, complemented
1065C2×#124—432no—
1066#525—434no—
1067#525—434no—
1068C2×#123—434no—
1069C2×C22⋊Q8—432no—
1070C2×C22⋊Q8—434no—
1071C2×C22⋊Q8—434no—
1072C2×C22⋊Q8—434no—
1073C2×#121—432no—
1074#520—434no—
1075#520—434no—
1076#519—434no—
1077#519—434no—
1078#518—434no—
1079#518—434no—
1080C2×C4×Q8—432no—
1081C2×C4×Q8—434no—
1082C2×C4×D4—434no—
1083C2×C4×D4—432no—
1084C2×#117—434no—
1085C2×#117—432no—
1086C22×C42—431no—
1087C43#6282311yescharacteristic, complemented, Sylow
1088C2×#41—434no—
1089C2×#41—434no—
1090C22×Q8—432no—
1091C22×Q8—434no—
1092C22×Q8—434no—
1093C22×Q8—434no—
1094C22×D4—434no—
1095C22×D4—432no—
1096C23×C4—431no—
1097C23×C4—434no—
1098C23×C4—432no—
1099C4⋊Q8—434no—
1100C4⋊Q8—434no—
1101C4⋊Q8—434no—
1102C4⋊Q8—432no—
1103C4⋊Q8—432no—
1104C4⋊Q8—432no—
1105C4⋊Q8—432no—
1106C4⋊Q8—434no—
1107C4⋊Q8—434no—
1108C4⋊Q8—434no—
1109C4⋊Q8—434no—
1110C4⋊Q8—434no—
1111C4⋊Q8—434no—
1112C4⋊Q8—434no—
1113C4⋊Q8—434no—
1114C4⋊Q8—434no—
1115C4⋊Q8—434no—
1116C4⋊Q8C22×D4314yes—
1117#126—434no—
1118#126—434no—
1119#126—434no—
1120#126—434no—
1121#126—434no—
1122#126—434no—
1123#126—434no—
1124#126—434no—
1125#126—434no—
1126#126—434no—
1127#126—434no—
1128#126—434no—
1129#126—434no—
1130#126—434no—
1131#126—434no—
1132#126—434no—
1133#126—434no—
1134#126—434no—
1135#126—434no—
1136#126—434no—
1137#126—434no—
1138#126—434no—
1139#126—434no—
1140#126—434no—
1141#126—434no—
1142#126—434no—
1143#126—434no—
1144#126—434no—
1145#126—434no—
1146#126—434no—
1147#126—434no—
1148#126C22×D4314yes—
1149#126C22×D4314yes—
1150#126C22×D4314yes—
1151#126C22×D4314yes—
1152#126C22×D4314yes—
1153#125—432no—
1154#125—432no—
1155#125—434no—
1156#125—434no—
1157#125—434no—
1158#125—434no—
1159#125—434no—
1160#125—434no—
1161#125—434no—
1162#125—434no—
1163#125—434no—
1164#125—434no—
1165#125—434no—
1166#125—434no—
1167#125—434no—
1168#125—434no—
1169#125—434no—
1170#125—434no—
1171#125—434no—
1172#125—434no—
1173#125—434no—
1174#125—434no—
1175#125—434no—
1176#125—434no—
1177#125—434no—
1178#125—434no—
1179#125—434no—
1180#125—432no—
1181#125—434no—
1182#125—431no—
1183#125—431no—
1184#125—432no—
1185#125—434no—
1186#125—434no—
1187#125C22×D4312yes—
1188#125C22×D4314yes—
1189#125C22×D4312yes—
1190#125C22×D4311yescharacteristic
1191#125C22×D4311yescharacteristic
1192#125C22×D4314yes—
1193#125C22×D4314yes—
1194#125C22×D4314yes—
1195#125C22×D4314yes—
1196#125C22×D4314yes—
1197#124—432no—
1198#124—434no—
1199#124—432no—
1200#124—434no—
1201#124—434no—
1202#124—434no—
1203#124—434no—
1204#124—434no—
1205#124—434no—
1206#124—434no—
1207#124—434no—
1208#124—434no—
1209#124—434no—
1210#124—432no—
1211#124—434no—
1212#124C22×D4312yes—
1213#123—434no—
1214#123—434no—
1215#123—434no—
1216#123—434no—
1217#123—434no—
1218#123—434no—
1219#123—434no—
1220#123—434no—
1221#123—434no—
1222#123—434no—
1223#123—434no—
1224#123—434no—
1225#123—434no—
1226#123—434no—
1227#123—434no—
1228#123—434no—
1229#123—434no—
1230#123—434no—
1231#123—434no—
1232#123—434no—
1233#123—434no—
1234#123—434no—
1235#123—434no—
1236#123—434no—
1237#123—434no—
1238#123—434no—
1239#123—434no—
1240#123C22×D4314yes—
1241#123C22×D4314yes—
1242#123C22×D4314yes—
1243#123C22×D4314yes—
1244#123C22×D4314yes—
1245C22⋊Q8—432no—
1246C22⋊Q8—434no—
1247C22⋊Q8—434no—
1248C22⋊Q8—434no—
1249C22⋊Q8—434no—
1250C22⋊Q8—432no—
1251C22⋊Q8—434no—
1252C22⋊Q8—434no—
1253C22⋊Q8—434no—
1254C22⋊Q8—434no—
1255C22⋊Q8—434no—
1256C22⋊Q8—434no—
1257C22⋊Q8—434no—
1258C22⋊Q8—434no—
1259C22⋊Q8—432no—
1260C22⋊Q8—434no—
1261C22⋊Q8—434no—
1262C22⋊Q8—434no—
1263C22⋊Q8—434no—
1264C22⋊Q8—434no—
1265C22⋊Q8—434no—
1266C22⋊Q8—434no—
1267C22⋊Q8—434no—
1268C22⋊Q8—434no—
1269C22⋊Q8—434no—
1270C22⋊Q8—434no—
1271C22⋊Q8—434no—
1272C22⋊Q8—434no—
1273C22⋊Q8—434no—
1274C22⋊Q8—434no—
1275C22⋊Q8—434no—
1276C22⋊Q8—434no—
1277C22⋊Q8—434no—
1278C22⋊Q8—434no—
1279C22⋊Q8—434no—
1280C22⋊Q8—434no—
1281C22⋊Q8—434no—
1282C22⋊Q8—434no—
1283C22⋊Q8—434no—
1284C22⋊Q8—434no—
1285C22⋊Q8—434no—
1286C22⋊Q8—434no—
1287C22⋊Q8—434no—
1288C22⋊Q8—434no—
1289C22⋊Q8—434no—
1290C22⋊Q8—434no—
1291C22⋊Q8—434no—
1292C22⋊Q8—434no—
1293C22⋊Q8—434no—
1294C22⋊Q8—434no—
1295C22⋊Q8—434no—
1296C22⋊Q8—434no—
1297C22⋊Q8—434no—
1298C22⋊Q8—434no—
1299C22⋊Q8—434no—
1300C22⋊Q8—434no—
1301C22⋊Q8—434no—
1302C22⋊Q8C22×D4312yes—
1303C22⋊Q8C22×D4314yes—
1304C22⋊Q8C22×D4314yes—
1305C22⋊Q8C22×D4314yes—
1306C22⋊Q8C22×D4314yes—
1307C22⋊Q8C22×D4314yes—
1308C22⋊Q8C22×D4314yes—
1309#121—432no—
1310#121—434no—
1311#121—434no—
1312#121—434no—
1313#121—434no—
1314#121—434no—
1315#121—432no—
1316#121—434no—
1317#121—432no—
1318#121—434no—
1319#121—434no—
1320#121—434no—
1321#121—434no—
1322#121C22×D4312yes—
1323#121C22×D4314yes—
1324#121C22×D4314yes—
1325#120—434no—
1326#120—434no—
1327#120—434no—
1328#120—434no—
1329C4×Q8—432no—
1330C4×Q8—434no—
1331C4×Q8—434no—
1332C4×Q8—434no—
1333C4×Q8—434no—
1334C4×Q8—432no—
1335C4×Q8—434no—
1336C4×Q8—434no—
1337C4×Q8—434no—
1338C4×Q8—434no—
1339C4×Q8—434no—
1340C4×Q8—434no—
1341C4×Q8—434no—
1342C4×Q8—434no—
1343C4×Q8—434no—
1344C4×Q8—434no—
1345C4×Q8—434no—
1346C4×Q8—434no—
1347C4×Q8—434no—
1348C4×Q8—432no—
1349C4×Q8—434no—
1350C4×Q8—434no—
1351C4×Q8—434no—
1352C4×Q8—434no—
1353C4×Q8—434no—
1354C4×Q8—434no—
1355C4×Q8C22×D4312yes—
1356C4×Q8C22×D4314yes—
1357C4×D4—432no—
1358C4×D4—434no—
1359C4×D4—434no—
1360C4×D4—434no—
1361C4×D4—434no—
1362C4×D4—434no—
1363C4×D4—434no—
1364C4×D4—434no—
1365C4×D4—434no—
1366C4×D4—434no—
1367C4×D4—434no—
1368C4×D4—434no—
1369C4×D4—434no—
1370C4×D4—434no—
1371C4×D4—434no—
1372C4×D4—434no—
1373C4×D4—434no—
1374C4×D4—432no—
1375C4×D4—434no—
1376C4×D4—434no—
1377C4×D4—434no—
1378C4×D4—434no—
1379C4×D4—434no—
1380C4×D4—434no—
1381C4×D4—434no—
1382C4×D4—434no—
1383C4×D4—434no—
1384C4×D4—434no—
1385C4×D4—434no—
1386C4×D4—434no—
1387C4×D4—434no—
1388C4×D4—432no—
1389C4×D4—434no—
1390C4×D4—434no—
1391C4×D4—434no—
1392C4×D4C22×D4312yes—
1393C4×D4C22×D4314yes—
1394C4×D4C22×D4314yes—
1395C4×D4C22×D4314yes—
1396C4×D4C22×D4314yes—
1397#117—434no—
1398#117—434no—
1399#117—434no—
1400#117—434no—
1401#117—434no—
1402#117—432no—
1403#117—432no—
1404#117—434no—
1405#117—434no—
1406#117—432no—
1407#117—432no—
1408#117—434no—
1409#117—434no—
1410#117—434no—
1411#117—434no—
1412#117—434no—
1413#117—434no—
1414#117—434no—
1415#117—434no—
1416#117—434no—
1417#117—434no—
1418#117—434no—
1419#117—434no—
1420#117—434no—
1421#117—434no—
1422#117—434no—
1423#117—434no—
1424#117—434no—
1425#117—434no—
1426#117—434no—
1427#117C22×D4314yes—
1428#117C22×D4314yes—
1429C2×C4⋊C4—432no—
1430C2×C4⋊C4—434no—
1431C2×C4⋊C4—434no—
1432C2×C4⋊C4—434no—
1433C2×C4⋊C4—434no—
1434C2×C4⋊C4—434no—
1435C2×C4⋊C4—434no—
1436C2×C4⋊C4—432no—
1437C2×C4⋊C4—434no—
1438C2×C4⋊C4—432no—
1439C2×C4⋊C4—434no—
1440C2×C4⋊C4—434no—
1441C2×C4⋊C4—434no—
1442C2×C4⋊C4—434no—
1443C2×C4⋊C4C22×D4312yes—
1444C2×C4⋊C4C22×D4314yes—
1445C2×C4⋊C4C22×D4314yes—
1446C2×C22⋊C4—434no—
1447C2×C22⋊C4—434no—
1448C2×C22⋊C4—434no—
1449C2×C22⋊C4—434no—
1450C2×C22⋊C4—434no—
1451C2×C22⋊C4—434no—
1452C2×C22⋊C4—434no—
1453C2×C22⋊C4—434no—
1454C2×C22⋊C4—434no—
1455C2×C22⋊C4—434no—
1456C2×C42—434no—
1457C2×C42—432no—
1458C2×C42—431no—
1459C2×C42—432no—
1460C2×C42—434no—
1461C2×C42—432no—
1462C2×C42—432no—
1463C2×C42—432no—
1464C2×C42C22×D4311yescharacteristic
1465C24—431no—
1466C24—434no—
1467#41—1728no—
1468#41—1728no—
1469C2×Q8—434no—
1470C2×Q8—434no—
1471C2×Q8—434no—
1472C2×Q8—434no—
1473C2×Q8—434no—
1474C2×Q8—434no—
1475C2×Q8—432no—
1476C2×Q8—434no—
1477C2×Q8—434no—
1478C2×Q8—1728no—
1479C2×Q8—1728no—
1480C2×Q8—1724no—
1481C2×Q8—1728no—
1482C2×Q8C23×D4314yes—
1483C2×Q8C23×D4312yes—
1484C2×D4—434no—
1485C2×D4—434no—
1486C2×D4—434no—
1487C2×D4—434no—
1488C2×D4—434no—
1489C2×D4—434no—
1490C2×D4—434no—
1491C2×D4—432no—
1492C2×D4—8616no—
1493C2×D4—1724no—
1494C2×D4C23×D4314yes—
1495C2×D4C23×D4314yes—
1496C2×D4C23×D4312yes—
1497C22×C4—431no—
1498C22×C4—432no—
1499C22×C4—434no—
1500C22×C4—434no—
1501C22×C4—434no—
1502C22×C4—434no—
1503C22×C4—432no—
1504C22×C4—432no—
1505C22×C4—432no—
1506C22×C4—432no—
1507C22×C4—434no—
1508C22×C4—434no—
1509C22×C4—432no—
1510C22×C4—432no—
1511C22×C4—434no—
1512C22×C4—434no—
1513C22×C4—434no—
1514C22×C4—434no—
1515C22×C4—434no—
1516C22×C4—434no—
1517C22×C4—434no—
1518C22×C4—864no—
1519C22×C4—1724no—
1520C22×C4—1728no—
1521C22×C4C23×D4311yescharacteristic
1522C22×C4C23×D4312yes—
1523C22×C4C23×D4314yes—
1524C22×C4C23×D4314yes—
1525C22×C4C23×D4314yes—
1526C22×C4C23×D4314yes—
1527C4⋊C4—434no—
1528C4⋊C4—434no—
1529C4⋊C4—434no—
1530C4⋊C4—434no—
1531C4⋊C4—434no—
1532C4⋊C4—434no—
1533C4⋊C4—434no—
1534C4⋊C4—434no—
1535C4⋊C4—434no—
1536C4⋊C4—434no—
1537C4⋊C4—434no—
1538C4⋊C4—434no—
1539C4⋊C4—434no—
1540C4⋊C4—434no—
1541C4⋊C4—434no—
1542C4⋊C4—434no—
1543C4⋊C4—434no—
1544C4⋊C4—432no—
1545C4⋊C4—434no—
1546C4⋊C4—432no—
1547C4⋊C4—432no—
1548C4⋊C4—434no—
1549C4⋊C4—434no—
1550C4⋊C4—434no—
1551C4⋊C4—434no—
1552C4⋊C4—434no—
1553C4⋊C4—434no—
1554C4⋊C4—432no—
1555C4⋊C4—434no—
1556C4⋊C4—434no—
1557C4⋊C4—434no—
1558C4⋊C4—434no—
1559C4⋊C4—434no—
1560C4⋊C4—434no—
1561C4⋊C4—434no—
1562C4⋊C4—434no—
1563C4⋊C4—434no—
1564C4⋊C4—434no—
1565C4⋊C4—434no—
1566C4⋊C4—434no—
1567C4⋊C4—434no—
1568C4⋊C4—434no—
1569C4⋊C4—434no—
1570C4⋊C4—434no—
1571C4⋊C4—434no—
1572C4⋊C4C23×D4314yes—
1573C4⋊C4C23×D4314yes—
1574C4⋊C4C23×D4314yes—
1575C4⋊C4C23×D4314yes—
1576C4⋊C4C23×D4312yes—
1577C4⋊C4C23×D4314yes—
1578C4⋊C4C23×D4312yes—
1579C4⋊C4C23×D4314yes—
1580C4⋊C4C23×D4314yes—
1581C4⋊C4C23×D4312yes—
1582C4⋊C4C23×D4314yes—
1583C4⋊C4C23×D4312yes—
1584C4⋊C4C23×D4314yes—
1585C4⋊C4C23×D4314yes—
1586C4⋊C4C23×D4314yes—
1587C4⋊C4C23×D4314yes—
1588C4⋊C4C23×D4314yes—
1589C4⋊C4C23×D4314yes—
1590C4⋊C4C23×D4314yes—
1591C22⋊C4—434no—
1592C22⋊C4—434no—
1593C22⋊C4—434no—
1594C22⋊C4—434no—
1595C22⋊C4—434no—
1596C22⋊C4—434no—
1597C22⋊C4—434no—
1598C22⋊C4—434no—
1599C22⋊C4—434no—
1600C22⋊C4—434no—
1601C22⋊C4—434no—
1602C22⋊C4—434no—
1603C22⋊C4—434no—
1604C22⋊C4—434no—
1605C22⋊C4—434no—
1606C22⋊C4—434no—
1607C22⋊C4—434no—
1608C22⋊C4—434no—
1609C22⋊C4—434no—
1610C22⋊C4—434no—
1611C22⋊C4—434no—
1612C22⋊C4—434no—
1613C22⋊C4—434no—
1614C22⋊C4—434no—
1615C22⋊C4—434no—
1616C22⋊C4—434no—
1617C22⋊C4—434no—
1618C22⋊C4—434no—
1619C22⋊C4—434no—
1620C22⋊C4—434no—
1621C22⋊C4—434no—
1622C22⋊C4C23×D4314yes—
1623C22⋊C4C23×D4314yes—
1624C22⋊C4C23×D4314yes—
1625C22⋊C4C23×D4314yes—
1626C22⋊C4C23×D4314yes—
1627C22⋊C4C23×D4314yes—
1628C22⋊C4C23×D4314yes—
1629C22⋊C4C23×D4314yes—
1630C22⋊C4C23×D4314yes—
1631C42—432no—
1632C42—432no—
1633C42—432no—
1634C42—431no—
1635C42—432no—
1636C42—432no—
1637C42—431no—
1638C42—434no—
1639C42—434no—
1640C42—434no—
1641C42—434no—
1642C42—434no—
1643C42—434no—
1644C42—434no—
1645C42—434no—
1646C42—434no—
1647C42—434no—
1648C42—434no—
1649C42—434no—
1650C42—434no—
1651C42C23×D4311yescharacteristic
1652C42C23×D4312yes—
1653C42C23×D4311yescharacteristic
1654C42C23×D4314yes—
1655C42C23×D4314yes—
1656C42C23×D4314yes—
1657C23—432no—
1658C23—434no—
1659C23—434no—
1660C23—868no—
1661C23—1724no—
1662C23—1724no—
1663C23—1722no—
1664C23C24×D4314yes—
1665C23C24×D4311yescharacteristic
1666Q8—44no—
1667Q8—42no—
1668Q8—868no—
1669Q8—868no—
1670Q8—868no—
1671Q8—1724no—
1672Q8—1724no—
1673Q8—1724no—
1674Q8—1724no—
1675Q8—1722no—
1676Q8—1724no—
1677D4—28no—
1678D4—42no—
1679D4—44no—
1680D4—868no—
1681D4—868no—
1682D4—868no—
1683D4—868no—
1684D4—1722no—
1685D4—1724no—
1686D4—1724no—
1687D4—1724no—
1688C2×C4—22no—
1689C2×C4—44no—
1690C2×C4—42no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—432no—
1695C2×C4—432no—
1696C2×C4—434no—
1697C2×C4—432no—
1698C2×C4—434no—
1699C2×C4—434no—
1700C2×C4—434no—
1701C2×C4—434no—
1702C2×C4—864no—
1703C2×C4—864no—
1704C2×C4—868no—
1705C2×C4—864no—
1706C2×C4—864no—
1707C2×C4—868no—
1708C2×C4—864no—
1709C2×C4—868no—
1710C2×C4—862no—
1711C2×C4—1724no—
1712C2×C4—1722no—
1713C2×C4—1724no—
1714C2×C4—1722no—
1715C2×C4—1724no—
1716C2×C4—1724no—
1717C2×C4—1724no—
1718C2×C4—1724no—
1719C2×C4—1724no—
1720C2×C4—1724no—
1721C2×C4—1724no—
1722C2×C4—1724no—
1723C2×C4C24×D4312yes—
1724C2×C4C24×D4314yes—
1725C2×C4C24×D4314yes—
1726C2×C4C24×D4314yes—
1727C2×C4C24×D4311yescharacteristic
1728C2×C4C24×D4311yescharacteristic
1729C2×C4C24×D4314yes—
1730C2×C4C24×D4312yes—
1731C2×C4C24×D4314yes—
1732C22—22no—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—434no—
1737C22—862no—
1738C22—862no—
1739C22—864no—
1740C22—864no—
1741C22—864no—
1742C22—3448no—
1743C22—1724no—
1744C222−1+4×D4312yes—
1745C22C25×D4311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—24no—
1749C4—22no—
1750C4—24no—
1751C4—24no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—434no—
1756C4—862no—
1757C4—864no—
1758C4—864no—
1759C4—862no—
1760C4—864no—
1761C4—864no—
1762C4—864no—
1763C2—22no—
1764C2—44no—
1765C2—864no—
1766C2—1724no—
1767C2C2×2−1+4×D4311yescharacteristic
1768C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3553C2
hypercenter#3553D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #19149222C2semidirect
2. #19149212C2semidirect
3. #19149204C2semidirect
4. #19149195C2semidirect
5. #19149163C2semidirect
6. #19149157C2semidirect
7. #19149051C2semidirect
8. #19149048C2semidirect
9. #19149028C2semidirect
10. #19148687C2semidirect
11. #19148636C2semidirect
12. #19148585C2semidirect
13. #19148579C2semidirect
14. #19148428C2semidirect
15. #19148394C2semidirect
16. #19148346C2semidirect
17. #19148338C2semidirect
18. #19148289C2semidirect
19. C2×#14583455C2semidirect
20. #529×D43C2semidirect
21. C43×#3553C2semidirect
22. C43⋊#564C22semidirect
23. C43⋊#564C22semidirect
24. #14583653C22semidirect
25. #14583653C22semidirect
26. #14583653C22semidirect
27. #14583652C22semidirect
28. #14583651C22semidirect
29. #14583650C22semidirect
30. #14583649C22semidirect
31. #14583647C22semidirect
32. #14583643C22semidirect
33. #14583626C22semidirect
34. #14583626C22semidirect
35. #14583624C22semidirect
36. #14583621C22semidirect
37. #14583620C22semidirect
38. #14583620C22semidirect
39. #14583619C22semidirect
40. #14583616C22semidirect
41. #14583616C22semidirect
42. #14583616C22semidirect
43. #14583609C22semidirect
44. #14583608C22semidirect
45. #14583608C22semidirect
46. #14583605C22semidirect
47. #14583605C22semidirect
48. #14583604C22semidirect
49. #14583604C22semidirect
50. #14583603C22semidirect
51. #14583603C22semidirect
52. #14583603C22semidirect
53. #14583603C22semidirect
54. #14583598C22semidirect
55. #14583598C22semidirect
56. #14583597C22semidirect
57. #14583592C22semidirect
58. #14583592C22semidirect
59. #14583588C22semidirect
60. #14583588C22semidirect
61. #14583587C22semidirect
62. #14583587C22semidirect
63. #14583586C22semidirect
64. #14583586C22semidirect
65. #14583585C22semidirect
66. #14583585C22semidirect
67. #14583585C22semidirect
68. #14583584C22semidirect
69. #14583583C22semidirect
70. #14583583C22semidirect
71. #14583582C22semidirect
72. #14583581C22semidirect
73. #14583581C22semidirect
74. #14583581C22semidirect
75. #14583581C22semidirect
76. #14583581C22semidirect
77. #14583581C22semidirect
78. #14583578C22semidirect
79. #14583577C22semidirect
80. #14583577C22semidirect
81. #14583577C22semidirect
82. #14583576C22semidirect
83. #14583576C22semidirect
84. #14583574C22semidirect
85. #14583574C22semidirect
86. #14583574C22semidirect
87. #14583573C22semidirect
88. #14583572C22semidirect
89. #14583572C22semidirect
90. D4×Dic86C22semidirect
91. #14583564C22semidirect
92. #14583562C22semidirect
93. #14583562C22semidirect
94. #14583562C22semidirect
95. #14583559C22semidirect
96. #14583558C22semidirect
97. #14583555C22semidirect
98. #14583555C22semidirect
99. #14583547C22semidirect
100. #14583541C22semidirect
101. #14583538C22semidirect
102. #14583529C22semidirect
103. #14583529C22semidirect
104. #14583528C22semidirect
105. #14583526C22semidirect
107. #14583524C22semidirect
108. #14583524C22semidirect
109. #14583523C22semidirect
110. #14583519C22semidirect
111. #14583519C22semidirect
112. #14583517C22semidirect
113. #14583517C22semidirect
114. #14583517C22semidirect
115. #14583516C22semidirect
116. #14583515C22semidirect
117. #14583512C22semidirect
118. #14583509C22semidirect
119. #14583508C22semidirect
120. #14583508C22semidirect
121. #14583508C22semidirect
122. #14583508C22semidirect
123. #14583507C22semidirect
124. #14583506C22semidirect
125. #14583506C22semidirect
126. #14583506C22semidirect
127. #14583506C22semidirect
129. #14583497C22semidirect
130. #14583496C22semidirect
131. #14583493C22semidirect
132. #14583493C22semidirect
134. #14583491C22semidirect
135. #14583490C22semidirect
138. #14583472C22semidirect
139. #14583471C22semidirect
141. #14583455C22semidirect
142. #14583455C22semidirect
143. #14583455C22semidirect
144. #14583455C22semidirect
145. #14583455C22semidirect
146. #14583455C22semidirect
147. #14583455C22semidirect
148. #14583453C22semidirect
149. C2×#13063324C22semidirect
151. #14583435C22semidirect
152. #14583435C22semidirect
154. #14583433C22semidirect
158. #14583430C22semidirect
159. #14583430C22semidirect
160. #14583429C22semidirect
161. #14583429C22semidirect
162. #14583429C22semidirect
166. #14583426C22semidirect
167. #126×D43C22semidirect
168. C2×#13063317C22semidirect
169. #125×D43C22semidirect
170. #124×D43C22semidirect
175. C2×#13063303C22semidirect
177. C22⋊Q8×D43C22semidirect
179. #14583380C22semidirect
180. #14583378C22semidirect
181. #14583376C22semidirect
182. #14583375C22semidirect
185. C2×#13063290C22semidirect
186. C4×Q8×D43C22semidirect
188. C4×D4×D43C22semidirect
190. #117×D43C22semidirect
192. C43×#564C22semidirect
193. C43×#563C22semidirect
194. C43×#562C22semidirect
195. C43×#554C22semidirect
196. C43×#553C22semidirect
197. C43×#552C22semidirect
198. C43×#541C22semidirect
199. C43×#539C22semidirect
200. C43×#539C22semidirect
201. C43×#529C22semidirect
202. C2×#125×C43C22semidirect
887. #3553D43semidirect
908. #564C2×D43semidirect
916. #563C2×D43semidirect
919. #562C2×D43semidirect
941. #554C2×D43semidirect
947. #553C2×D43semidirect
967. #552C2×D43semidirect
1018. #541C2×D43semidirect
1027. #539C2×D43semidirect
1028. #539C2×D43semidirect
1060. #529C2×D43semidirect
1064. C2×#125C2×D43semidirect
1087. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492222
#191492122
#191492042
#191491952
#191491632
#191491572
#191490512
#191490482
#191490282
#191486872
#191486362
#191485852
#191485792
#191484282
#191483942
#191483462
#191483382
#191482892
C2×#145834552
#529×D432
C43×#35532
#6282343