Finite Group Databasebeta

← #26005296

Subgroups — #26005296

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149215C214yesmaximal, complemented
2#19149207C214yesmaximal, complemented
3#19149192C214yesmaximal, complemented
4#19149153C214yesmaximal, complemented
5#19149045C214yesmaximal, complemented
6#19149028C214yesmaximal, complemented
7#19148684C214yesmaximal, complemented
8#19148633C214yesmaximal, complemented
9#19148584C214yesmaximal, complemented
10#19148578C214yesmaximal, complemented
11#19148432C212yesmaximal, complemented
12#19148425C212yesmaximal, complemented
13#19148395C212yesmaximal, complemented
14#19148393C212yesmaximal, complemented
15#19148336C214yesmaximal, complemented
16#19148334C214yesmaximal, complemented
17#19148293C211yesmaximal, characteristic, complemented
18#19148291C212yesmaximal, complemented
19C2×#14583452C211yesmaximal, characteristic, complemented
20C2×#14583426C212yesmaximal, complemented
21C43×#3491C211yesmaximal, characteristic, complemented
22C43⋊#564C2214yescomplemented
23#14583653C2214yescomplemented
24#14583652C2214yescomplemented
25#14583651C2214yescomplemented
26#14583651C2214yescomplemented
27#14583650C2214yescomplemented
28#14583650C2214yescomplemented
29#14583646C2214yescomplemented
30#14583627C2214yescomplemented
31#14583626C2214yescomplemented
32#14583626C2214yescomplemented
33#14583622C2214yescomplemented
34#14583618C2214yescomplemented
35#14583617C2214yescomplemented
36#14583617C2214yescomplemented
37#14583616C2214yescomplemented
38#14583616C2214yescomplemented
39#14583616C2214yescomplemented
40#14583608C2214yescomplemented
41#14583608C2214yescomplemented
42#14583608C2214yescomplemented
43#14583608C2214yescomplemented
44#14583607C2214yescomplemented
45#14583607C2214yescomplemented
46#14583606C2214yescomplemented
47#14583606C2214yescomplemented
48#14583603C2214yescomplemented
49#14583603C2214yescomplemented
50#14583603C2214yescomplemented
51#14583603C2214yescomplemented
52#14583601C2214yescomplemented
53#14583598C2214yescomplemented
54#14583598C2214yescomplemented
55#14583595C2214yescomplemented
56#14583592C2214yescomplemented
57#14583592C2214yescomplemented
58#14583591C2214yescomplemented
59#14583589C2214yescomplemented
60#14583587C2214yescomplemented
61#14583587C2214yescomplemented
62#14583586C2214yescomplemented
63#14583586C2214yescomplemented
64#14583586C2214yescomplemented
65#14583586C2214yescomplemented
66#14583585C2214yescomplemented
67#14583585C2214yescomplemented
68#14583585C2214yescomplemented
69#14583584C2214yescomplemented
70#14583584C2214yescomplemented
71#14583582C2214yescomplemented
72#14583582C2214yescomplemented
73#14583582C2214yescomplemented
74#14583582C2214yescomplemented
75#14583582C2214yescomplemented
76#14583580C2214yescomplemented
77#14583575C2214yescomplemented
78#14583575C2214yescomplemented
79#14583575C2214yescomplemented
80#14583573C2214yescomplemented
81#14583573C2214yescomplemented
82#14583573C2214yescomplemented
83#14583572C2214yescomplemented
84#14583572C2214yescomplemented
85#14583572C2214yescomplemented
86D4×Dic86C2214yescomplemented
87D4×Dic86C2214yescomplemented
88#14583562C2214yescomplemented
89#14583562C2214yescomplemented
90#14583562C2214yescomplemented
91#14583558C2214yescomplemented
92#14583558C2214yescomplemented
93#14583557C2214yescomplemented
94#14583555C2214yescomplemented
95#14583547C2214yescomplemented
96#14583539C2214yescomplemented
97#14583536C2214yescomplemented
98#14583529C2214yescomplemented
99#14583528C2214yescomplemented
100#14583528C2214yescomplemented
101#14583527C2214yescomplemented
102#14583525C2212yes—
103#14583525C2211yescharacteristic
104#14583525C2214yescomplemented
105#14583524C2214yescomplemented
106#14583520C2214yescomplemented
107#14583517C2214yescomplemented
108#14583515C2214yescomplemented
109#14583515C2214yescomplemented
110#14583515C2214yescomplemented
111#14583514C2214yescomplemented
112#14583513C2214yescomplemented
113#14583513C2214yescomplemented
114#14583512C2214yescomplemented
115#14583511C2214yescomplemented
116#14583509C2214yescomplemented
117#14583508C2214yescomplemented
118#14583508C2214yescomplemented
119#14583508C2214yescomplemented
120#14583508C2214yescomplemented
121#14583507C2214yescomplemented
122#14583506C2214yescomplemented
123#14583506C2214yescomplemented
124#14583506C2214yescomplemented
125#14583506C2214yescomplemented
126#14583498C2214yescomplemented
127#14583496C2214yescomplemented
128#14583493C2214yes—
129#14583493C2214yescomplemented
130#14583493C2214yescomplemented
131#14583493C2214yescomplemented
132#14583492C2214yescomplemented
133#14583491C2214yes—
134#14583490C2214yescomplemented
135#14583484C2214yes—
136#14583482C2214yes—
137#14583472C2214yescomplemented
138#14583471C2214yescomplemented
139#14583461C2211yescharacteristic
140#14583458C2212yes—
141#14583452C2214yescomplemented
142#14583452C2214yescomplemented
143#14583452C2214yescomplemented
144#14583452C2214yescomplemented
145#14583452C2214yescomplemented
146#14583451C2214yescomplemented
147C2×#13063324C2212yescomplemented
148#14583433C2214yescomplemented
149#14583429C2214yes—
150#14583426C2214yes—
151#14583426C2214yes—
152#14583426C2214yes—
153#14583426C2214yes—
154#14583426C2214yes—
155#14583426C2214yescomplemented
156#14583426C2214yescomplemented
157#14583426C2214yescomplemented
158#14583426C2214yescomplemented
159#14583426C2214yescomplemented
160#14583426C2214yescomplemented
161C2×#13063320C2212yescomplemented
162C2×#13063318C2212yescomplemented
163C2×#13063316C2212yescomplemented
164C2×#13063315C2212yescomplemented
165C2×#13063311C2212yescomplemented
166#14583408C2214yes—
167#14583405C2214yes—
168C2×#13063308C2212yes—
169C2×#13063302C2212yes—
170C2×#13063302C2212yes—
171C2×#13063302C2212yes—
172C2×#13063302C2214yescomplemented
173C22⋊Q8×D43C2214yescomplemented
174C2×#13063297C2212yes—
175#14583379C2214yescomplemented
176#14583378C2214yescomplemented
177#14583376C2214yescomplemented
178#14583375C2214yescomplemented
179#14583374C2212yes—
180#14583372C2212yes—
181#14583372C2212yes—
182C2×C4×Dic86C2212yescomplemented
183C2×C4×Dic86C2212yescomplemented
184C2×#13063290C2212yescomplemented
185C2×D4×Dic43C2212yes—
186C2×(C22⋊D43)⋊C4C2212yes—
187C2×(C22⋊D43)⋊C4C2212yescomplemented
188C2×#13063284C2211yescharacteristic
189C2×#13063283C2212yescomplemented
190C2×#13063281C2212yescomplemented
191C22×C4×Dic43C2211yescharacteristic
192C43×#552C2214yescomplemented
193C43×#552C2214yescomplemented
194C43×#551C2214yescomplemented
195C43×#551C2214yescomplemented
196C43×#543C2211yescharacteristic
197C43×#539C2214yescomplemented
198C43×#534C2211yescharacteristic
199C43×#529C2214yescomplemented
200C2×#123×C43C2212yes—
201C43×#518C2212yes—
202C2×#117×C43C2211yescharacteristic
203C2×#10621898C2314yes—
204C2×#10621900C2314yes—
205C22×Dic86C2312yes—
206C22×Dic86C2312yes—
207C22×Dic86C2314yes—
208C22×Dic86C2312yes—
209C2×Q8×D43C2314yes—
210C22×C22⋊D43C2312yes—
211C22×C22⋊D43C2312yes—
212C23×Dic43C2312yes—
213C23×Dic43C2312yes—
214C22×C4×D43C2312yes—
215#13063325C2314yes—
216#13063325C2314yes—
217#13063324C2314yes—
218#13063324C2314yes—
219#13063324C2314yes—
220#13063324C2314yes—
221#13063324C2314yes—
222#13063324C2314yes—
223#13063324C2314yes—
224#13063324C2314yes—
225#13063324C2314yes—
226#13063324C2314yes—
227#13063324C2314yes—
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#13063319C2314yes—
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#13063318C2314yes—
263#13063317C2314yes—
264#13063317C2314yes—
265#13063317C2314yes—
266#13063317C2314yes—
267#13063316C2314yes—
268#13063316C2314yes—
269#13063316C2314yes—
270#13063316C2314yes—
271#13063316C2314yes—
272#13063316C2314yes—
273#13063316C2314yes—
274#13063316C2314yes—
275#13063316C2314yes—
276#13063316C2314yes—
277#13063316C2314yes—
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#13063315C2314yes—
297#13063315C2314yes—
298#13063313C2314yes—
299#13063313C2314yes—
300#13063312C2314yes—
301#13063311C2314yes—
302#13063311C2314yes—
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#13063309C2314yes—
316#13063309C2314yes—
317#13063309C2314yes—
318#13063309C2314yes—
319#13063309C2314yes—
320#13063308C2314yes—
321#13063308C2314yes—
322#13063308C2314yes—
323#13063308C2314yes—
324#13063308C2314yes—
325#13063308C2314yes—
326#13063308C2314yes—
327#13063307C2314yes—
328#13063307C2314yes—
329#13063307C2314yes—
330#13063307C2314yes—
331#13063307C2314yes—
332#13063307C2314yes—
333#13063306C2314yes—
334#13063306C2314yes—
335#13063306C2314yes—
336#13063305C2314yes—
337#13063305C2314yes—
338#13063305C2314yes—
339#13063305C2314yes—
340#13063305C2314yes—
341#13063305C2314yes—
342#13063304C2314yes—
343#13063304C2314yes—
344#13063304C2314yes—
345#13063304C2314yes—
346#13063304C2314yes—
347#13063304C2314yes—
348#13063304C2314yes—
349#13063304C2314yes—
350#13063303C2314yes—
351#13063303C2314yes—
352#13063303C2314yes—
353#13063303C2314yes—
354#13063303C2314yes—
355#13063303C2314yes—
356#13063303C2314yes—
357#13063303C2314yes—
358#13063303C2314yes—
359#13063303C2314yes—
360#13063302C2314yes—
361#13063302C2314yes—
362#13063302C2314yes—
363#13063302C2314yes—
364#13063302C2314yes—
365#13063302C2314yes—
366#13063302C2314yes—
367#13063302C2314yes—
368#13063302C2314yes—
369#13063302C2314yes—
370#13063302C2314yes—
371#13063302C2314yes—
372#13063302C2314yes—
373#13063302C2314yes—
374#13063302C2314yes—
375#13063302C2314yes—
376#13063302C2314yes—
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#13063299C2314yes—
394#13063299C2314yes—
395#13063298C2314yes—
396#13063298C2314yes—
397#13063297C2314yes—
398#13063297C2314yes—
399#13063297C2314yes—
400#13063297C2314yes—
401#13063297C2314yes—
402#13063297C2314yes—
403#13063297C2314yes—
404#13063297C2314yes—
405#13063296C2314yes—
406#13063295C2314yes—
407#13063294C2314yes—
408#13063293C2314yes—
409Q8×Dic43C2314yes—
410C4×Dic86C2314yes—
411C4×Dic86C2314yes—
412C4×Dic86C2314yes—
413C4×Dic86C2314yes—
414C4×Dic86C2314yes—
415C4×Dic86C2314yes—
416C4×Dic86C2314yes—
417C4×Dic86C2314yes—
418C4×Dic86C2314yes—
419C4×Dic86C2314yes—
420C4×Dic86C2314yes—
421C4×Dic86C2314yes—
422C4×Dic86C2314yes—
423C4×Dic86C2314yes—
424#13063290C2314yes—
425#13063290C2314yes—
426#13063290C2314yes—
427#13063290C2314yes—
428#13063290C2314yes—
429#13063290C2314yes—
430#13063290C2314yes—
431#13063290C2314yes—
432#13063290C2314yes—
433#13063290C2314yes—
434C4×D172C2314yes—
435C4×D172C2314yes—
436D4×Dic43C2314yes—
437D4×Dic43C2314yes—
438D4×Dic43C2314yes—
439D4×Dic43C2314yes—
440D4×Dic43C2314yes—
441D4×Dic43C2314yes—
442D4×Dic43C2314yes—
443D4×Dic43C2314yes—
444D4×Dic43C2314yes—
445C4×C22⋊D43C2314yes—
446C4×C22⋊D43C2314yes—
447C4×C22⋊D43C2314yes—
448C4×C22⋊D43C2314yes—
449C4×C22⋊D43C2314yes—
450C4×C22⋊D43C2314yes—
451(C22⋊D43)⋊C4C2314yes—
452(C22⋊D43)⋊C4C2314yes—
453(C22⋊D43)⋊C4C2314yes—
454(C22⋊D43)⋊C4C2314yes—
455(C22⋊D43)⋊C4C2314yes—
456(C22⋊D43)⋊C4C2314yes—
457(C22⋊D43)⋊C4C2314yes—
458(C22⋊D43)⋊C4C2314yes—
459(C22⋊D43)⋊C4C2314yes—
460(C22⋊D43)⋊C4C2314yes—
461(C22⋊D43)⋊C4C2314yes—
462(C22⋊D43)⋊C4C2314yes—
463(C22⋊D43)⋊C4C2314yes—
464(C22⋊D43)⋊C4C2314yes—
465(C22⋊D43)⋊C4C2314yes—
466(C22⋊D43)⋊C4C2314yes—
467#13063284C2314yes—
468#13063284C2314yes—
469#13063284C2314yes—
470#13063284C2314yes—
471#13063283C2314yes—
472#13063283C2314yes—
473#13063283C2314yes—
474#13063283C2314yes—
475#13063283C2314yes—
476#13063283C2314yes—
477#13063283C2314yes—
478#13063282C2314yes—
479#13063282C2314yes—
480#13063282C2314yes—
481#13063282C2314yes—
482#13063281C2314yes—
483#13063281C2314yes—
484#13063281C2314yes—
485#13063281C2314yes—
486#13063281C2314yes—
487#13063281C2314yes—
488#13063281C2314yes—
489#13063281C2314yes—
490#13063281C2314yes—
491#13063281C2314yes—
492C2×C4⋊Dic43C2314yes—
493C2×C4⋊Dic43C2312yes—
494C2×C4⋊Dic43C2312yes—
495C2×C4⋊Dic43C2312yes—
496C2×C4⋊Dic43C2312yes—
497C2×C4⋊Dic43C2312yes—
498C2×Dic43⋊C4C2312yes—
499C2×Dic43⋊C4C2312yes—
500C2×Dic43⋊C4C2312yes—
501C2×Dic43⋊C4C2314yes—
502C2×Dic43⋊C4C2314yes—
503C2×Dic43⋊C4C2312yes—
504C2×Dic43⋊C4C2312yes—
505C2×Dic43⋊C4C2312yes—
506C2×Dic43⋊C4C2312yes—
507C2×Dic43⋊C4C2312yes—
508C2×Dic43⋊C4C2312yes—
509C2×Dic43⋊C4C2312yes—
510C4⋊C4×D43C2314yes—
511C4⋊C4×D43C2314yes—
512C4⋊C4×D43C2314yes—
513C2×C22⋊Dic43C2312yes—
514C2×C22⋊Dic43C2314yes—
515C2×C22⋊Dic43C2312yes—
516C2×C22⋊Dic43C2312yes—
517C2×C22⋊Dic43C2312yes—
518C2×(C2×D43)⋊C4C2312yes—
519C2×(C2×D43)⋊C4C2312yes—
520C2×(C2×D43)⋊C4C2312yes—
521C2×(C2×D43)⋊C4C2312yes—
522C22⋊C4×D43C2314yes—
523C22⋊C4×D43C2314yes—
524C2×C4×Dic43C2312yes—
525C2×C4×Dic43C2312yes—
526C2×C4×Dic43C2312yes—
527C2×C4×Dic43C2312yes—
528C2×C4×Dic43C2311yescharacteristic
529C2×C4×Dic43C2312yes—
530C2×C4×Dic43C2311yescharacteristic
531C2×C4×Dic43C2312yes—
532C2×C4×Dic43C2312yes—
533C2×C4×Dic43C2311yescharacteristic
534C2×C4×Dic43C2311yescharacteristic
535C22×D4×C43C2312yes—
536C23×C4×C43C2311yescharacteristic
537#126×C43C2314yes—
538#126×C43C2314yes—
539#126×C43C2314yes—
540#126×C43C2314yes—
541#125×C43C2314yes—
542#125×C43C2314yes—
543#125×C43C2314yes—
544#124×C43C2314yes—
545#123×C43C2314yes—
546#123×C43C2314yes—
547#123×C43C2314yes—
548#123×C43C2314yes—
549#123×C43C2314yes—
550#123×C43C2314yes—
551#123×C43C2314yes—
552C22⋊Q8×C43C2314yes—
553C22⋊Q8×C43C2314yes—
554C22⋊Q8×C43C2314yes—
555C22⋊Q8×C43C2314yes—
556C22⋊Q8×C43C2314yes—
557#121×C43C2314yes—
558#120×C43C2314yes—
559C4×Q8×C43C2314yes—
560C4×D4×C43C2314yes—
561C4×D4×C43C2314yes—
562C4×D4×C43C2314yes—
563C4×D4×C43C2314yes—
564C4×D4×C43C2314yes—
565#117×C43C2314yes—
566#117×C43C2314yes—
567#117×C43C2314yes—
568#117×C43C2314yes—
569#117×C43C2314yes—
570C2×C4⋊C4×C43C2312yes—
571C2×C4⋊C4×C43C2312yes—
572C2×C4⋊C4×C43C2312yes—
573C2×C22⋊C4×C43C2311yescharacteristic
574C2×C22⋊C4×C43C2311yescharacteristic
575C2×C22⋊C4×C43C2314yes—
576C2×C22⋊C4×C43C2312yes—
577C2×C22⋊C4×C43C2312yes—
578C2×C22⋊C4×C43C2312yes—
579C2×C42×C43C2312yes—
580C24×C43C2412yes—
581C24×C43C2411yescharacteristic
582C23×D43C2412yes—
583C2×Q8×C43C2414yes—
584C2×D4×C43—28no—
585C2×D4×C43C2414yes—
586C2×D4×C43C2414yes—
587C2×D4×C43C2414yes—
588C22×C4×C43—24no—
589C22×C4×C43C2411yescharacteristic
590C22×C4×C43C2412yes—
591C22×C4×C43C2412yes—
592C22×C4×C43C2412yes—
593C22×C4×C43C2411yescharacteristic
594C22×C4×C43C2412yes—
595C22×C4×C43C2412yes—
596C22×C4×C43C2412yes—
597C22×C4×C43C2412yes—
598C22×C4×C43C2414yes—
599C22×C4×C43C2414yes—
600C2×C22⋊D43—28no—
601C2×C22⋊D43—44no—
602C2×C22⋊D43C2414yes—
603C2×C22⋊D43C2414yes—
604C2×C22⋊D43C2414yes—
605C2×C22⋊D43C2414yes—
606C2×C22⋊D43C2414yes—
607C2×C22⋊D43C2414yes—
608C22×Dic43—44no—
609C22×Dic43—44no—
610C22×Dic43C2412yes—
611C22×Dic43C2412yes—
612C22×Dic43C2412yes—
613C22×Dic43C2412yes—
614C22×Dic43C2414yes—
615C22×Dic43C2412yes—
616C22×Dic43C2412yes—
617C22×Dic43C2412yes—
618C22×Dic43C2412yes—
619C22×Dic43C2412yes—
620C22×Dic43C2412yes—
621C22×Dic43C2412yes—
622C22×Dic43C2414yes—
623C22×Dic43C2414yes—
624C22×Dic43C2414yes—
625Q8×D43—48no—
626#10621900—48no—
627#10621898—48no—
628C2×D172C2414yes—
629C2×C4×D43—44no—
630C2×C4×D43C2414yes—
631C2×C4×D43C2414yes—
632C2×C4×D43C2414yes—
633C2×C4×D43C2414yes—
634C2×C4×D43C2414yes—
635C2×C4×D43C2414yes—
636C2×Dic86—44no—
637C2×Dic86—48no—
638C2×Dic86—44no—
639C2×Dic86—44no—
640C2×Dic86C2414yes—
641C2×Dic86C2414yes—
642C2×Dic86C2414yes—
643C2×Dic86C2414yes—
644C2×Dic86C2414yes—
645C2×Dic86C2414yes—
646C2×Dic86C2414yes—
647C2×Dic86C2414yes—
648C2×Dic86C2414yes—
649C4⋊C4×C43C2414yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2414yes—
652C4⋊C4×C43C2414yes—
653C4⋊C4×C43C2414yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2414yes—
656C4⋊C4×C43C2414yes—
657C4⋊C4×C43C2414yes—
658C4⋊C4×C43C2414yes—
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—
670C22⋊C4×C43C2414yes—
671C22⋊C4×C43C2414yes—
672C22⋊C4×C43C2414yes—
673C42×C43C2414yes—
674C42×C43C2414yes—
675C42×C43C2414yes—
676C42×C43C2414yes—
677C22⋊Dic43C2414yes—
678C22⋊Dic43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2414yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685C22⋊Dic43C2414yes—
686C22⋊Dic43C2414yes—
687C22⋊Dic43C2414yes—
688C22⋊Dic43C2414yes—
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—
705C4⋊Dic43C2414yes—
706C4⋊Dic43C2414yes—
707C4⋊Dic43C2414yes—
708C4⋊Dic43C2414yes—
709C4⋊Dic43C2414yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2414yes—
712C4⋊Dic43C2414yes—
713C4⋊Dic43C2414yes—
714C4⋊Dic43C2414yes—
715C4⋊Dic43C2414yes—
716C4⋊Dic43C2414yes—
717C4⋊Dic43C2414yes—
718C4⋊Dic43C2414yes—
719C4⋊Dic43C2414yes—
720C4⋊Dic43C2414yes—
721Dic43⋊C4C2414yes—
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—
752Dic43⋊C4C2414yes—
753C4×Dic43C2411yescharacteristic
754C4×Dic43C2412yes—
755C4×Dic43C2412yes—
756C4×Dic43C2412yes—
757C4×Dic43C2411yescharacteristic
758C4×Dic43C2412yes—
759C4×Dic43C2412yes—
760C4×Dic43C2412yes—
761C4×Dic43C2411yescharacteristic
762C4×Dic43C2411yescharacteristic
763C4×Dic43C2414yes—
764C4×Dic43C2414yes—
765C4×Dic43C2414yes—
766C4×Dic43C2414yes—
767C4×Dic43C2414yes—
768C4×Dic43C2414yes—
769C4×Dic43C2414yes—
770C4×Dic43C2414yes—
771C4×Dic43C2414yes—
772C4×Dic43C2414yes—
773C4×Dic43C2414yes—
774C4×Dic43C2414yes—
775C23×C43—24no—
776C23×C43—42no—
777C23×C43—42no—
778C23×C43—42no—
779C23×C432−1+414yes—
780C23×C43C2514yes—
781C23×C43C2512yes—
782C23×C43C2511yescharacteristic
783C22×D43—24no—
784C22×D43—42no—
785C22×D43—42no—
786C22×D43C2514yes—
787Q8×C43—44no—
788D4×C43—28no—
789D4×C43—28no—
790D4×C43—44no—
791C2×C4×C43—24no—
792C2×C4×C43—24no—
793C2×C4×C43—22no—
794C2×C4×C43—22no—
795C2×C4×C43—24no—
796C2×C4×C43—42no—
797C2×C4×C43—44no—
798C2×C4×C43—42no—
799C2×C4×C43—42no—
800C2×C4×C43—42no—
801C2×C4×C43—44no—
802C2×C4×C43C2512yes—
803C2×C4×C43C2514yes—
804C2×C4×C43C2511yescharacteristic
805C2×C4×C43C2511yescharacteristic
806C2×C4×C43C2514yes—
807C2×C4×C43C2514yes—
808C2×C4×C43C2514yes—
809C2×C4×C43C2514yes—
810C22⋊D43—28no—
811C22⋊D43—28no—
812C22⋊D43—28no—
813C22⋊D43—44no—
814C22⋊D43—44no—
815C22⋊D43—44no—
816C2×Dic43—24no—
817C2×Dic43—24no—
818C2×Dic43—28no—
819C2×Dic43—24no—
820C2×Dic43—24no—
821C2×Dic43—42no—
822C2×Dic43—44no—
823C2×Dic43—42no—
824C2×Dic43—42no—
825C2×Dic43—44no—
826C2×Dic43—42no—
827C2×Dic43—42no—
828C2×Dic43—42no—
829C2×Dic43—44no—
830C2×Dic43—42no—
831C2×Dic43C2512yes—
832C2×Dic43C2514yes—
833C2×Dic43C2512yes—
834C2×Dic43C2514yes—
835C2×Dic43C2514yes—
836C2×Dic43C2512yes—
837C2×Dic43C2514yes—
838C2×Dic43C2514yes—
839C2×Dic43C2512yes—
840D172—44no—
841C4×D43—28no—
842C4×D43—44no—
843C4×D43—44no—
844C4×D43—44no—
845C4×D43—44no—
846C4×D43—44no—
847Dic86—28no—
848Dic86—28no—
849Dic86—28no—
850Dic86—44no—
851Dic86—44no—
852Dic86—44no—
853Dic86—44no—
854Dic86—44no—
855Dic86—44no—
856#62823—431nomaximal, Sylow
857C22×C43—22no—
858C22×C43—22no—
859C22×C43—22no—
860C22×C43—24no—
861C22×C43—24no—
862C22×C43—24no—
863C22×C43—44no—
864C22×C43—84no—
865C22×C43C2×2−1+414yes—
866C22×C43C2×2−1+412yes—
867C22×C43C2611yescharacteristic
868C2×D43—24no—
869C2×D43—24no—
870C2×D43—24no—
871C2×D43—84no—
872C4×C43—22no—
873C4×C43—21no—
874C4×C43—21no—
875C4×C43—24no—
876C4×C43—24no—
877C4×C43—24no—
878C4×C43—24no—
879C4×C43—24no—
880Dic43—24no—
881Dic43—24no—
882Dic43—24no—
883Dic43—24no—
884Dic43—22no—
885Dic43—24no—
886Dic43—22no—
887Dic43—22no—
888Dic43#58514yes—
889#3564—434no—
890#3564—434no—
891#3563—434no—
892#3561—434no—
893#3553—434no—
894#3552—434no—
895#3523—434no—
896#3520—434no—
897#3516—434no—
898#3516—434no—
899#3505—432no—
900#3505—432no—
901#3501—432no—
902#3501—432no—
903#3495—434no—
904#3495—434no—
905#3491—432no—
906#3491—431no—
907#3491D4311yescharacteristic, complemented
908C2×#533—431no—
909C2×#529—432no—
910C2×C43—24no—
911C2×C43—22no—
912C2×C43—44no—
913C2×C43C22×2−1+411yescharacteristic
914C2×C43C2×#58512yes—
915D43—44no—
916#564—434no—
917#563—434no—
918#563—434no—
919#563—434no—
920#563—434no—
921#563—434no—
922#563—434no—
923#562—434no—
924#557—434no—
925#557—434no—
926#557—434no—
927#556—434no—
928#556—434no—
929#556—434no—
930#556—434no—
931#556—434no—
932#556—434no—
933#556—434no—
934#554—434no—
935#554—434no—
936#554—434no—
937#554—434no—
938#554—434no—
939#554—434no—
940#554—434no—
941#554—434no—
942#554—434no—
943#554—434no—
944#554—434no—
945#554—434no—
946#553—434no—
947#553—434no—
948#553—434no—
949#553—434no—
950#553—434no—
951#553—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#552—434no—
968#552—434no—
969#552—434no—
970#552C2×D4314yescomplemented
971#552C2×D4314yescomplemented
972#551—434no—
973#551—434no—
974#551—434no—
975#551—434no—
976#551—434no—
977#551—434no—
978#551—434no—
979#551—434no—
980#551—434no—
981#551—434no—
982#551C2×D4314yescomplemented
983#551C2×D4314yescomplemented
984D4×Q8—434no—
985D4×Q8—434no—
986D4×Q8—434no—
987D4×Q8—434no—
988D4×Q8—434no—
989#548—434no—
990#548—434no—
991#548—434no—
992#548—434no—
993#547—434no—
994#546—434no—
995#546—434no—
996#544—434no—
997#544—434no—
998#544—434no—
999#544—434no—
1000#543—434no—
1001#543—432no—
1002#543—431no—
1003#543—434no—
1004#543C2×D4311yescharacteristic
1005#542—434no—
1006#542—434no—
1007#542—434no—
1008#542—434no—
1009#542—434no—
1010#542—434no—
1011#542—434no—
1012#542—434no—
1013#541—434no—
1014#541—434no—
1015#541—434no—
1016#541—434no—
1017#541—434no—
1018#541—434no—
1019#541—434no—
1020#541—434no—
1021#541—434no—
1022#541—434no—
1023#541—434no—
1024#541—434no—
1025#539—434no—
1026#539—434no—
1027#539—434no—
1028#539—434no—
1029#539—434no—
1030#539—434no—
1031#539—434no—
1032#539—434no—
1033#539—434no—
1034#539C2×D4314yescomplemented
1035#538—434no—
1036#538—434no—
1037#536—434no—
1038#536—434no—
1039#534—432no—
1040#534—431no—
1041#534C2×D4311yescharacteristic
1042#533—434no—
1043#533—434no—
1044#533—434no—
1045#533—434no—
1046#533—434no—
1047#533—434no—
1048C2×C4⋊Q8—432no—
1049#529—434no—
1050#529—434no—
1051#529—434no—
1052#529—434no—
1053#529—434no—
1054#529—434no—
1055#529—434no—
1056#529—434no—
1057#529—434no—
1058#529—434no—
1059#529—434no—
1060#529—434no—
1061#529—434no—
1062#529C2×D4314yescomplemented
1063C2×#126—432no—
1064C2×#126—432no—
1065C2×#125—432no—
1066C2×#125—432no—
1067C2×#124—432no—
1068#525—434no—
1069#525—434no—
1070C2×#123—432no—
1071C2×#123C2×D4312yes—
1072C2×C22⋊Q8—434no—
1073C2×C22⋊Q8—432no—
1074C2×C22⋊Q8—432no—
1075C2×C22⋊Q8—432no—
1076C2×C22⋊Q8—434no—
1077C2×#121—432no—
1078#520—434no—
1079#520—434no—
1080#519—434no—
1081#519—434no—
1082#518—432no—
1083#518—432no—
1084#518—432no—
1085#518C2×D4312yes—
1086C2×C4×Q8—432no—
1087C2×C4×Q8—432no—
1088C2×C4×Q8—432no—
1089C2×C4×D4—432no—
1090C2×C4×D4—432no—
1091C2×C4×D4—432no—
1092C2×#117—431no—
1093C2×#117—432no—
1094C2×#117—432no—
1095C2×#117C2×D4311yescharacteristic
1096C22×C42—431no—
1097C43#6282311yescharacteristic, complemented, Sylow
1098C2×#41—434no—
1099C2×#41—434no—
1100C22×Q8—434no—
1101C22×Q8—432no—
1102C22×Q8—432no—
1103C22×Q8—432no—
1104C22×Q8—434no—
1105C22×D4—432no—
1106C22×D4—432no—
1107C22×D4C22×D4312yes—
1108C23×C4—432no—
1109C23×C4—432no—
1110C23×C4—432no—
1111C23×C4C22×D4311yescharacteristic
1112C4⋊Q8—434no—
1113C4⋊Q8—434no—
1114C4⋊Q8—434no—
1115C4⋊Q8—434no—
1116C4⋊Q8—434no—
1117C4⋊Q8—434no—
1118C4⋊Q8—434no—
1119C4⋊Q8—434no—
1120C4⋊Q8—434no—
1121C4⋊Q8—434no—
1122C4⋊Q8—434no—
1123C4⋊Q8—434no—
1124C4⋊Q8—434no—
1125C4⋊Q8—434no—
1126C4⋊Q8—434no—
1127C4⋊Q8—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#126—434no—
1149#126—434no—
1150#126—434no—
1151#126—434no—
1152#126—434no—
1153#126—434no—
1154#126—434no—
1155#126—434no—
1156#126—434no—
1157#126—434no—
1158#126—434no—
1159#126—434no—
1160#126C22×D4314yes—
1161#126C22×D4314yes—
1162#126C22×D4314yes—
1163#126C22×D4314yes—
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—434no—
1181#125—434no—
1182#125—434no—
1183#125—434no—
1184#125—434no—
1185#125—434no—
1186#125—434no—
1187#125—434no—
1188#125—434no—
1189#125—434no—
1190#125—434no—
1191#125—434no—
1192#125—434no—
1193#125—434no—
1194#125—434no—
1195#125—434no—
1196#125—434no—
1197#125—434no—
1198#125—434no—
1199#125C22×D4314yes—
1200#125C22×D4314yes—
1201#125C22×D4314yes—
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—434no—
1211#124—434no—
1212#124—434no—
1213#124—434no—
1214#124—434no—
1215#124C22×D4314yes—
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#123—434no—
1241#123C22×D4314yes—
1242#123C22×D4314yes—
1243#123C22×D4314yes—
1244#123C22×D4314yes—
1245#123C22×D4314yes—
1246#123C22×D4314yes—
1247#123C22×D4314yes—
1248C22⋊Q8—434no—
1249C22⋊Q8—434no—
1250C22⋊Q8—434no—
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—434no—
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⋊Q8—434no—
1303C22⋊Q8—434no—
1304C22⋊Q8—434no—
1305C22⋊Q8C22×D4314yes—
1306C22⋊Q8C22×D4314yes—
1307C22⋊Q8C22×D4314yes—
1308C22⋊Q8C22×D4314yes—
1309C22⋊Q8C22×D4314yes—
1310#121—434no—
1311#121—434no—
1312#121—434no—
1313#121—434no—
1314#121—434no—
1315#121—434no—
1316#121—434no—
1317#121—434no—
1318#121—434no—
1319#121—434no—
1320#121—434no—
1321#121—434no—
1322#121—434no—
1323#121C22×D4314yes—
1324#120—434no—
1325#120—434no—
1326#120—434no—
1327#120C22×D4314yes—
1328C4×Q8—434no—
1329C4×Q8—434no—
1330C4×Q8—434no—
1331C4×Q8—434no—
1332C4×Q8—434no—
1333C4×Q8—434no—
1334C4×Q8—434no—
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—434no—
1349C4×Q8—434no—
1350C4×Q8—434no—
1351C4×Q8—434no—
1352C4×Q8—434no—
1353C4×Q8C22×D4314yes—
1354C4×D4—434no—
1355C4×D4—434no—
1356C4×D4—434no—
1357C4×D4—434no—
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—434no—
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×D4C22×D4314yes—
1388C4×D4C22×D4314yes—
1389C4×D4C22×D4314yes—
1390C4×D4C22×D4314yes—
1391C4×D4C22×D4314yes—
1392#117—434no—
1393#117—434no—
1394#117—434no—
1395#117—434no—
1396#117—434no—
1397#117—434no—
1398#117—434no—
1399#117—434no—
1400#117—434no—
1401#117—434no—
1402#117—434no—
1403#117—434no—
1404#117—434no—
1405#117—434no—
1406#117—434no—
1407#117—434no—
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#117C22×D4314yes—
1418#117C22×D4314yes—
1419#117C22×D4314yes—
1420#117C22×D4314yes—
1421#117C22×D4314yes—
1422C2×C4⋊C4—432no—
1423C2×C4⋊C4—432no—
1424C2×C4⋊C4—432no—
1425C2×C4⋊C4—432no—
1426C2×C4⋊C4—432no—
1427C2×C4⋊C4—432no—
1428C2×C4⋊C4—432no—
1429C2×C4⋊C4—432no—
1430C2×C4⋊C4—432no—
1431C2×C4⋊C4—432no—
1432C2×C4⋊C4—432no—
1433C2×C4⋊C4—432no—
1434C2×C4⋊C4—432no—
1435C2×C4⋊C4—432no—
1436C2×C4⋊C4—432no—
1437C2×C4⋊C4—434no—
1438C2×C4⋊C4—434no—
1439C2×C4⋊C4—434no—
1440C2×C4⋊C4—434no—
1441C2×C4⋊C4—434no—
1442C2×C4⋊C4—434no—
1443C2×C4⋊C4C22×D4312yes—
1444C2×C4⋊C4C22×D4312yes—
1445C2×C4⋊C4C22×D4312yes—
1446C2×C22⋊C4—432no—
1447C2×C22⋊C4—432no—
1448C2×C22⋊C4—432no—
1449C2×C22⋊C4—432no—
1450C2×C22⋊C4—434no—
1451C2×C22⋊C4—432no—
1452C2×C22⋊C4—432no—
1453C2×C22⋊C4—432no—
1454C2×C22⋊C4—432no—
1455C2×C22⋊C4—434no—
1456C2×C22⋊C4—434no—
1457C2×C22⋊C4C22×D4312yes—
1458C2×C22⋊C4C22×D4311yescharacteristic
1459C2×C22⋊C4C22×D4311yescharacteristic
1460C2×C22⋊C4C22×D4312yes—
1461C2×C22⋊C4C22×D4312yes—
1462C2×C22⋊C4C22×D4314yes—
1463C2×C42—432no—
1464C2×C42—432no—
1465C2×C42—432no—
1466C2×C42—431no—
1467C2×C42—431no—
1468C2×C42—432no—
1469C2×C42—432no—
1470C2×C42—432no—
1471C2×C42—431no—
1472C2×C42—432no—
1473C2×C42—431no—
1474C2×C42C22×D4312yes—
1475C24—432no—
1476C24C23×D4312yes—
1477C24C23×D4311yescharacteristic
1478#41—1728no—
1479#41—1728no—
1480C2×Q8—434no—
1481C2×Q8—434no—
1482C2×Q8—434no—
1483C2×Q8—434no—
1484C2×Q8—434no—
1485C2×Q8—434no—
1486C2×Q8—434no—
1487C2×Q8—434no—
1488C2×Q8—434no—
1489C2×Q8—1724no—
1490C2×Q8—1724no—
1491C2×Q8—1724no—
1492C2×Q8—1728no—
1493C2×Q8—1728no—
1494C2×Q8C23×D4314yes—
1495C2×D4—28no—
1496C2×D4—434no—
1497C2×D4—434no—
1498C2×D4—434no—
1499C2×D4—434no—
1500C2×D4—434no—
1501C2×D4—434no—
1502C2×D4—434no—
1503C2×D4—868no—
1504C2×D4—1724no—
1505C2×D4C23×D4314yes—
1506C2×D4C23×D4314yes—
1507C2×D4C23×D4314yes—
1508C22×C4—24no—
1509C22×C4—432no—
1510C22×C4—432no—
1511C22×C4—432no—
1512C22×C4—432no—
1513C22×C4—434no—
1514C22×C4—432no—
1515C22×C4—432no—
1516C22×C4—432no—
1517C22×C4—432no—
1518C22×C4—432no—
1519C22×C4—432no—
1520C22×C4—432no—
1521C22×C4—434no—
1522C22×C4—434no—
1523C22×C4—434no—
1524C22×C4—434no—
1525C22×C4—434no—
1526C22×C4—434no—
1527C22×C4—434no—
1528C22×C4—434no—
1529C22×C4—434no—
1530C22×C4—1724no—
1531C22×C4—1724no—
1532C22×C4—1724no—
1533C22×C4C23×D4311yescharacteristic
1534C22×C4C23×D4312yes—
1535C22×C4C23×D4312yes—
1536C22×C4C23×D4311yescharacteristic
1537C22×C4C23×D4312yes—
1538C22×C4C23×D4312yes—
1539C22×C4C23×D4312yes—
1540C22×C4C23×D4312yes—
1541C22×C4C23×D4312yes—
1542C22×C4C23×D4314yes—
1543C22×C4C23×D4314yes—
1544C4⋊C4—434no—
1545C4⋊C4—434no—
1546C4⋊C4—434no—
1547C4⋊C4—434no—
1548C4⋊C4—434no—
1549C4⋊C4—434no—
1550C4⋊C4—434no—
1551C4⋊C4—434no—
1552C4⋊C4—434no—
1553C4⋊C4—434no—
1554C4⋊C4—434no—
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⋊C4—434no—
1573C4⋊C4—434no—
1574C4⋊C4—434no—
1575C4⋊C4—434no—
1576C4⋊C4—434no—
1577C4⋊C4—434no—
1578C4⋊C4—434no—
1579C4⋊C4—434no—
1580C4⋊C4—434no—
1581C4⋊C4—434no—
1582C4⋊C4—434no—
1583C4⋊C4—434no—
1584C4⋊C4—434no—
1585C4⋊C4—434no—
1586C4⋊C4—434no—
1587C4⋊C4—434no—
1588C4⋊C4—434no—
1589C4⋊C4—434no—
1590C4⋊C4—434no—
1591C4⋊C4—434no—
1592C4⋊C4C23×D4314yes—
1593C4⋊C4C23×D4314yes—
1594C4⋊C4C23×D4314yes—
1595C4⋊C4C23×D4314yes—
1596C4⋊C4C23×D4314yes—
1597C4⋊C4C23×D4314yes—
1598C4⋊C4C23×D4314yes—
1599C4⋊C4C23×D4314yes—
1600C4⋊C4C23×D4314yes—
1601C4⋊C4C23×D4314yes—
1602C4⋊C4C23×D4314yes—
1603C4⋊C4C23×D4314yes—
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⋊C4—434no—
1623C22⋊C4—434no—
1624C22⋊C4—434no—
1625C22⋊C4—434no—
1626C22⋊C4—434no—
1627C22⋊C4—434no—
1628C22⋊C4—434no—
1629C22⋊C4—434no—
1630C22⋊C4—434no—
1631C22⋊C4—434no—
1632C22⋊C4C23×D4314yes—
1633C22⋊C4C23×D4314yes—
1634C22⋊C4C23×D4314yes—
1635C22⋊C4C23×D4314yes—
1636C22⋊C4C23×D4314yes—
1637C22⋊C4C23×D4314yes—
1638C22⋊C4C23×D4314yes—
1639C22⋊C4C23×D4314yes—
1640C22⋊C4C23×D4314yes—
1641C22⋊C4C23×D4314yes—
1642C22⋊C4C23×D4314yes—
1643C22⋊C4C23×D4314yes—
1644C42—431no—
1645C42—432no—
1646C42—432no—
1647C42—432no—
1648C42—431no—
1649C42—432no—
1650C42—432no—
1651C42—432no—
1652C42—431no—
1653C42—431no—
1654C42—434no—
1655C42—434no—
1656C42—434no—
1657C42—434no—
1658C42—434no—
1659C42—434no—
1660C42—434no—
1661C42—434no—
1662C42—434no—
1663C42—434no—
1664C42—434no—
1665C42—434no—
1666C42C23×D4314yes—
1667C42C23×D4314yes—
1668C42C23×D4314yes—
1669C42C23×D4314yes—
1670C23—24no—
1671C23—42no—
1672C23—42no—
1673C23—42no—
1674C23—434no—
1675C23—864no—
1676C23—1722no—
1677C23—1722no—
1678C23#1306337214yes—
1679C23C24×D4314yes—
1680C23C24×D4312yes—
1681C23C24×D4311yescharacteristic
1682Q8—44no—
1683Q8—868no—
1684Q8—868no—
1685Q8—868no—
1686Q8—1724no—
1687Q8—1724no—
1688Q8—1724no—
1689Q8—1724no—
1690Q8—1724no—
1691Q8—1724no—
1692D4—28no—
1693D4—28no—
1694D4—44no—
1695D4—868no—
1696D4—868no—
1697D4—868no—
1698D4—1724no—
1699D4—1724no—
1700D4—1724no—
1701D4—1724no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—44no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—44no—
1713C2×C4—432no—
1714C2×C4—432no—
1715C2×C4—434no—
1716C2×C4—432no—
1717C2×C4—434no—
1718C2×C4—434no—
1719C2×C4—434no—
1720C2×C4—432no—
1721C2×C4—434no—
1722C2×C4—868no—
1723C2×C4—864no—
1724C2×C4—864no—
1725C2×C4—864no—
1726C2×C4—868no—
1727C2×C4—864no—
1728C2×C4—1724no—
1729C2×C4—1724no—
1730C2×C4—1724no—
1731C2×C4—1724no—
1732C2×C4—1724no—
1733C2×C4—1724no—
1734C2×C4—1722no—
1735C2×C4—1722no—
1736C2×C4—1722no—
1737C2×C4—1722no—
1738C2×C4—1722no—
1739C2×C4—1722no—
1740C2×C4—1724no—
1741C2×C4—1722no—
1742C2×C4—1724no—
1743C2×C4C24×D4312yes—
1744C2×C4C24×D4314yes—
1745C2×C4C24×D4311yescharacteristic
1746C2×C4C24×D4311yescharacteristic
1747C2×C4C24×D4314yes—
1748C2×C4C24×D4314yes—
1749C2×C4C24×D4314yes—
1750C2×C4C24×D4314yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—44no—
1758C22—84no—
1759C22—864no—
1760C22—864no—
1761C22—864no—
1762C22—3444no—
1763C22C2×#1306337214yes—
1764C22C2×#1306337212yes—
1765C22C25×D4311yescharacteristic
1766C4—22no—
1767C4—21no—
1768C4—21no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—24no—
1774C4—434no—
1775C4—864no—
1776C4—862no—
1777C4—864no—
1778C4—862no—
1779C4—862no—
1780C4—864no—
1781C4—864no—
1782C4—864no—
1783C2—24no—
1784C2—22no—
1785C2—44no—
1786C2—1724no—
1787C2C22×#1306337211yescharacteristic
1788C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3491C2
hypercenter#3491D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3491

Complements

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

NH ≅ G/Ntype
1. #19149215C2semidirect
2. #19149207C2semidirect
3. #19149192C2semidirect
4. #19149153C2semidirect
5. #19149045C2semidirect
6. #19149028C2semidirect
7. #19148684C2semidirect
8. #19148633C2semidirect
9. #19148584C2semidirect
10. #19148578C2semidirect
11. #19148432C2semidirect
12. #19148425C2semidirect
13. #19148395C2semidirect
14. #19148393C2semidirect
15. #19148336C2semidirect
16. #19148334C2semidirect
17. #19148293C2semidirect
18. #19148291C2semidirect
19. C2×#14583452C2semidirect
20. C2×#14583426C2semidirect
21. C43×#3491C2semidirect
22. C43⋊#564C22semidirect
23. #14583653C22semidirect
24. #14583652C22semidirect
25. #14583651C22semidirect
26. #14583651C22semidirect
27. #14583650C22semidirect
28. #14583650C22semidirect
29. #14583646C22semidirect
30. #14583627C22semidirect
31. #14583626C22semidirect
32. #14583626C22semidirect
33. #14583622C22semidirect
34. #14583618C22semidirect
35. #14583617C22semidirect
36. #14583617C22semidirect
37. #14583616C22semidirect
38. #14583616C22semidirect
39. #14583616C22semidirect
40. #14583608C22semidirect
41. #14583608C22semidirect
42. #14583608C22semidirect
43. #14583608C22semidirect
44. #14583607C22semidirect
45. #14583607C22semidirect
46. #14583606C22semidirect
47. #14583606C22semidirect
48. #14583603C22semidirect
49. #14583603C22semidirect
50. #14583603C22semidirect
51. #14583603C22semidirect
52. #14583601C22semidirect
53. #14583598C22semidirect
54. #14583598C22semidirect
55. #14583595C22semidirect
56. #14583592C22semidirect
57. #14583592C22semidirect
58. #14583591C22semidirect
59. #14583589C22semidirect
60. #14583587C22semidirect
61. #14583587C22semidirect
62. #14583586C22semidirect
63. #14583586C22semidirect
64. #14583586C22semidirect
65. #14583586C22semidirect
66. #14583585C22semidirect
67. #14583585C22semidirect
68. #14583585C22semidirect
69. #14583584C22semidirect
70. #14583584C22semidirect
71. #14583582C22semidirect
72. #14583582C22semidirect
73. #14583582C22semidirect
74. #14583582C22semidirect
75. #14583582C22semidirect
76. #14583580C22semidirect
77. #14583575C22semidirect
78. #14583575C22semidirect
79. #14583575C22semidirect
80. #14583573C22semidirect
81. #14583573C22semidirect
82. #14583573C22semidirect
83. #14583572C22semidirect
84. #14583572C22semidirect
85. #14583572C22semidirect
86. D4×Dic86C22semidirect
87. D4×Dic86C22semidirect
88. #14583562C22semidirect
89. #14583562C22semidirect
90. #14583562C22semidirect
91. #14583558C22semidirect
92. #14583558C22semidirect
93. #14583557C22semidirect
94. #14583555C22semidirect
95. #14583547C22semidirect
96. #14583539C22semidirect
97. #14583536C22semidirect
98. #14583529C22semidirect
99. #14583528C22semidirect
100. #14583528C22semidirect
101. #14583527C22semidirect
104. #14583525C22semidirect
105. #14583524C22semidirect
106. #14583520C22semidirect
107. #14583517C22semidirect
108. #14583515C22semidirect
109. #14583515C22semidirect
110. #14583515C22semidirect
111. #14583514C22semidirect
112. #14583513C22semidirect
113. #14583513C22semidirect
114. #14583512C22semidirect
115. #14583511C22semidirect
116. #14583509C22semidirect
117. #14583508C22semidirect
118. #14583508C22semidirect
119. #14583508C22semidirect
120. #14583508C22semidirect
121. #14583507C22semidirect
122. #14583506C22semidirect
123. #14583506C22semidirect
124. #14583506C22semidirect
125. #14583506C22semidirect
126. #14583498C22semidirect
127. #14583496C22semidirect
129. #14583493C22semidirect
130. #14583493C22semidirect
131. #14583493C22semidirect
132. #14583492C22semidirect
134. #14583490C22semidirect
137. #14583472C22semidirect
138. #14583471C22semidirect
141. #14583452C22semidirect
142. #14583452C22semidirect
143. #14583452C22semidirect
144. #14583452C22semidirect
145. #14583452C22semidirect
146. #14583451C22semidirect
147. C2×#13063324C22semidirect
148. #14583433C22semidirect
155. #14583426C22semidirect
156. #14583426C22semidirect
157. #14583426C22semidirect
158. #14583426C22semidirect
159. #14583426C22semidirect
160. #14583426C22semidirect
161. C2×#13063320C22semidirect
162. C2×#13063318C22semidirect
163. C2×#13063316C22semidirect
164. C2×#13063315C22semidirect
165. C2×#13063311C22semidirect
172. C2×#13063302C22semidirect
173. C22⋊Q8×D43C22semidirect
175. #14583379C22semidirect
176. #14583378C22semidirect
177. #14583376C22semidirect
178. #14583375C22semidirect
182. C2×C4×Dic86C22semidirect
183. C2×C4×Dic86C22semidirect
184. C2×#13063290C22semidirect
187. C2×(C22⋊D43)⋊C4C22semidirect
189. C2×#13063283C22semidirect
190. C2×#13063281C22semidirect
192. C43×#552C22semidirect
193. C43×#552C22semidirect
194. C43×#551C22semidirect
195. C43×#551C22semidirect
197. C43×#539C22semidirect
199. C43×#529C22semidirect
907. #3491D43semidirect
970. #552C2×D43semidirect
971. #552C2×D43semidirect
982. #551C2×D43semidirect
983. #551C2×D43semidirect
1034. #539C2×D43semidirect
1062. #529C2×D43semidirect
1097. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492152
#191492072
#191491922
#191491532
#191490452
#191490282
#191486842
#191486332
#191485842
#191485782
#191484322
#191484252
#191483952
#191483932
#191483362
#191483342
#191482932
#191482912
C2×#145834522
C2×#145834262
C43×#34912
#6282343